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07/89] Update _config.yml --- _config.yml | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/_config.yml b/_config.yml index 2e1ba554d..95b06e8b4 100644 --- a/_config.yml +++ b/_config.yml @@ -9,7 +9,7 @@ plugins: #------------------------------- # General Site Settings title: Antonia Iaquinta -description: "Hi I'm Johnny, and I'm a Data Scientist. My portfolio focuses on interesting projects I've recently undertaken, with a strong emphasis on business impact. Please visit my Github & LinkedIn pages (or download my Resume) by using the links below!" +description: "Hi I'm Tonii, an engineer by trade, looking to pivot my career to be more data science oriented. My portfolio contains interesting projects I've recently undertaken, with a strong emphasis on business impact. Please visit my Github & LinkedIn pages (or download my Resume) by using the links below!" baseurl: "" # the subpath of your site, e.g. /blog url: "" # the base hostname & protocol for your site, e.g. http://example.com @@ -17,13 +17,13 @@ url: "" # the base hostname & protocol for your site, e.g. http://example.com # About Section subtitle: Data Science Portfolio location: "Massachusetts, US" -resume_url: /docs/resume.docx -avatar_image: /img/profile_picture.JPG +resume_url: /docs/antonia_iaquinta_resume.docx +avatar_image: /img/my_headshot.jpg #------------------------------- # Contact links -linkedln: "https://linkedln.com/#" # Add your linkedln handle -github: "https://github.com/#" # Add your github handle +linkedln: "https://linkedln.com/antonia-iaquinta/" # Add your linkedln handle +github: "https://github.com/golden-hail/golden-hail.github.io" # Add your github handle paginate: 6 paginate_path: "/page/:num" From b84346785135fea5ec8d2df143dd28c0053753fd Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 12:20:58 -0400 Subject: [PATCH 08/89] Create 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 204 ++++++++++++++++++++++++++++++++++ 1 file changed, 204 insertions(+) create mode 100644 _posts/2026-05-25-Connect4.md diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md new file mode 100644 index 000000000..5c58b9f23 --- /dev/null +++ b/_posts/2026-05-25-Connect4.md @@ -0,0 +1,204 @@ +--- +layout: post +title: Coffee & Python +image: "/posts/coffee_python.jpg" +tags: [Python, Coffee] +--- + +# My first project +## is all about +### how much +#### I LOVE +##### Python & Coffee! + +--- + +Firstly, I love Python so much, here is some code! + +def connect4(): + # need copy of list, board? since the old didn't get overwritten? + board = [["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"]] + sep = '----------------------------------------' + col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' + + def display_board(): + # set up the board! + print(sep) + print(sep) + for collection in board: + for slot in collection: + print(" " + slot, end=" ") + print() + print(sep) + print(col_labels) + print(sep) + + # Starting State: Player one's turn (opportunity to do a randomizer on who goes first... and maybe if they want to rematch :) =) + player = 'PLAYER 1' + token = 'x' + + hor_win = 0 + vert_win = 0 + game_won = 0 + col_height = [0, 0, 0, 0, 0, 0, 0, 0] + valid_move = False + + # Game time! + while game_won == 0: + display_board() + + # check if if input 'slot_in' is a valid input + while valid_move == False: + bot_row = 6 + slot_in = input(f"Your move {player} - Select a slot 0-7: " ) + + try: + slot_in = int(slot_in) + bot_row = 6 + if slot_in > 7: # check if slot exists (only 0-7 exists) + display_board() + print(f"{slot_in} is greater than 7. Let's try again!") + elif col_height[slot_in] > 6: # check if the column of slot_in is full + display_board() + print(f"Column {slot_in} is full. Let's try again!") + else: + valid_move = True + except: + if isinstance(slot_in, int) == False: + display_board() + print(f"Your input, '{slot_in}' is not a number. Let's try again!") + + # clear valid_move check so that the check goes off on the next loop + valid_move = False + + # find the correct row to place the token into + while board[bot_row][slot_in] != "0": + bot_row -= 1 + print(bot_row) + + # place the token + board[bot_row][slot_in] = token + + col_height[slot_in] += 1 + + # check for horozontal win + # for each inner array for the board (ie the rows) + for inner_array in board: + # for each index in each row array (inner_array) + for slot in inner_array: + if slot == token: + hor_win += 1 + else: + hor_win = 0 + if hor_win == 4: + game_won = 1 + + # check vertical win + if col_height[slot_in] >= 4: + # check with a for loop if each row of the column holds the same token type + for inner_array in board: + if inner_array[slot_in] == token: + vert_win += 1 + else: + vert_win = 0 + if vert_win == 4: + game_won = 1 + + # # # check diagonal win + # diag_down win check + for inner_array in board: + if game_won == 1: + break + + for slot in inner_array: + if slot == token: + array_idx = board.index(inner_array) + slot_idx = inner_array.index(slot) + try: + # if diag down is a win + if board[array_idx+1][slot_idx+1] == token and board[array_idx+2][slot_idx+2] == token and board[array_idx+3][slot_idx+3] == token: + game_won = 1 + elif board[array_idx-1][slot_idx-1] == token and board[array_idx-2][slot_idx-2] == token and board[array_idx-3][slot_idx-3] == token: + game_won = 1 + except: + pass + + try: + # if diagonal up is a win + if board[array_idx+1][slot_idx-1] == token and board[array_idx+2][slot_idx-2] == token and board[array_idx+3][slot_idx-3] == token: + game_won = 1 + elif board[array_idx-1][slot_idx+1] == token and board[array_idx-2][slot_idx+2] == token and board[array_idx-3][slot_idx+3] == token: + game_won = 1 + except: + pass + + if game_won == 1: + display_board() # note print the whole new board at the end to show the win + print(f'Congratulations {player}, you won!') + print(sep) + ## Rematch flag outside of while loop?? LATER + replay = input(print("Would you like to have a rematch?: ")) + if replay.upper == "YES" or "y": # later add conditional for 1 as an input, convert input to string + connect4() + else: + print(sep) + print("Thanks for playing!") + print(sep) + break + + # switch player, then attempt to start the turn over - if game_won == 1, the turns will end + if player == 'PLAYER 1': + player = 'PLAYER 2' + token = 's' + else: + player = 'PLAYER 1' + token = 'x' + +connect4() + +Just so you really see how much I love Python, here is some code BUT with some colours for keywords & functionality! + +```python +my_love_for_python = 0 +my_python_knowledge = 0 + +for day in lifetime: + my_love_for_python += 1 + my_python_knowledge += 1 +``` + +Here is an **unordered list** showing some things I love about Python + +* For my work + * Data Analysis + * Data Visualisation + * Machine Learning +* For fun + * Deep Learning + * Computer Vision + * Projects about coffee + +Here is an _ordered list_ showing some things I love about coffee + +1. The smell + 1. Especially in the morning, but also at all times of the day! +2. The taste +3. The fact I can run the 100m in approx. 9 seconds after having 4 cups in quick succession + +I love Python & Coffee so much, here is that picture from the top of my project AGAIN, but this time, in the BODY of my project! + +![alt text](/img/posts/coffee_python.jpg "Coffee & Python - I love them!") + +The above image is just linked to the actual file in my Github, but I could also link to images online, using the URL! + +A line break, like this one below - helps me make sense of what I'm reading, especially when I've had so much coffee that my vision goes a little blurry + +--- + +I could also add things to my project like links, tables, quotes, and HTML blocks - but I'm starting to get a cracking headache. Must be coffee time. From f313d91581c755c23479438dfe22923c5930f7e4 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 12:47:16 -0400 Subject: [PATCH 09/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 272 +++++++++++++++++----------------- 1 file changed, 136 insertions(+), 136 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 5c58b9f23..485bb42ec 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -1,8 +1,8 @@ --- layout: post -title: Coffee & Python +title: Connect4 image: "/posts/coffee_python.jpg" -tags: [Python, Coffee] +tags: [Python, Game] --- # My first project @@ -15,152 +15,152 @@ tags: [Python, Coffee] Firstly, I love Python so much, here is some code! -def connect4(): - # need copy of list, board? since the old didn't get overwritten? - board = [["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"]] - sep = '----------------------------------------' - col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' + def connect4(): + # need copy of list, board? since the old didn't get overwritten? + board = [["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"]] + sep = '----------------------------------------' + col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' + + def display_board(): + # set up the board! + print(sep) + print(sep) + for collection in board: + for slot in collection: + print(" " + slot, end=" ") + print() + print(sep) + print(col_labels) + print(sep) + + # Starting State: Player one's turn (opportunity to do a randomizer on who goes first... and maybe if they want to rematch :) =) + player = 'PLAYER 1' + token = 'x' - def display_board(): - # set up the board! - print(sep) - print(sep) - for collection in board: - for slot in collection: - print(" " + slot, end=" ") - print() - print(sep) - print(col_labels) - print(sep) + hor_win = 0 + vert_win = 0 + game_won = 0 + col_height = [0, 0, 0, 0, 0, 0, 0, 0] + valid_move = False - # Starting State: Player one's turn (opportunity to do a randomizer on who goes first... and maybe if they want to rematch :) =) - player = 'PLAYER 1' - token = 'x' - - hor_win = 0 - vert_win = 0 - game_won = 0 - col_height = [0, 0, 0, 0, 0, 0, 0, 0] - valid_move = False + # Game time! + while game_won == 0: + display_board() - # Game time! - while game_won == 0: - display_board() - - # check if if input 'slot_in' is a valid input - while valid_move == False: - bot_row = 6 - slot_in = input(f"Your move {player} - Select a slot 0-7: " ) - - try: - slot_in = int(slot_in) + # check if if input 'slot_in' is a valid input + while valid_move == False: bot_row = 6 - if slot_in > 7: # check if slot exists (only 0-7 exists) - display_board() - print(f"{slot_in} is greater than 7. Let's try again!") - elif col_height[slot_in] > 6: # check if the column of slot_in is full - display_board() - print(f"Column {slot_in} is full. Let's try again!") - else: - valid_move = True - except: - if isinstance(slot_in, int) == False: - display_board() - print(f"Your input, '{slot_in}' is not a number. Let's try again!") - - # clear valid_move check so that the check goes off on the next loop - valid_move = False + slot_in = input(f"Your move {player} - Select a slot 0-7: " ) + + try: + slot_in = int(slot_in) + bot_row = 6 + if slot_in > 7: # check if slot exists (only 0-7 exists) + display_board() + print(f"{slot_in} is greater than 7. Let's try again!") + elif col_height[slot_in] > 6: # check if the column of slot_in is full + display_board() + print(f"Column {slot_in} is full. Let's try again!") + else: + valid_move = True + except: + if isinstance(slot_in, int) == False: + display_board() + print(f"Your input, '{slot_in}' is not a number. Let's try again!") + + # clear valid_move check so that the check goes off on the next loop + valid_move = False + + # find the correct row to place the token into + while board[bot_row][slot_in] != "0": + bot_row -= 1 + print(bot_row) + + # place the token + board[bot_row][slot_in] = token - # find the correct row to place the token into - while board[bot_row][slot_in] != "0": - bot_row -= 1 - print(bot_row) + col_height[slot_in] += 1 + + # check for horozontal win + # for each inner array for the board (ie the rows) + for inner_array in board: + # for each index in each row array (inner_array) + for slot in inner_array: + if slot == token: + hor_win += 1 + else: + hor_win = 0 + if hor_win == 4: + game_won = 1 - # place the token - board[bot_row][slot_in] = token - - col_height[slot_in] += 1 + # check vertical win + if col_height[slot_in] >= 4: + # check with a for loop if each row of the column holds the same token type + for inner_array in board: + if inner_array[slot_in] == token: + vert_win += 1 + else: + vert_win = 0 + if vert_win == 4: + game_won = 1 - # check for horozontal win - # for each inner array for the board (ie the rows) - for inner_array in board: - # for each index in each row array (inner_array) - for slot in inner_array: - if slot == token: - hor_win += 1 - else: - hor_win = 0 - if hor_win == 4: - game_won = 1 - - # check vertical win - if col_height[slot_in] >= 4: - # check with a for loop if each row of the column holds the same token type + # # # check diagonal win + # diag_down win check for inner_array in board: - if inner_array[slot_in] == token: - vert_win += 1 - else: - vert_win = 0 - if vert_win == 4: - game_won = 1 - - # # # check diagonal win - # diag_down win check - for inner_array in board: + if game_won == 1: + break + + for slot in inner_array: + if slot == token: + array_idx = board.index(inner_array) + slot_idx = inner_array.index(slot) + try: + # if diag down is a win + if board[array_idx+1][slot_idx+1] == token and board[array_idx+2][slot_idx+2] == token and board[array_idx+3][slot_idx+3] == token: + game_won = 1 + elif board[array_idx-1][slot_idx-1] == token and board[array_idx-2][slot_idx-2] == token and board[array_idx-3][slot_idx-3] == token: + game_won = 1 + except: + pass + + try: + # if diagonal up is a win + if board[array_idx+1][slot_idx-1] == token and board[array_idx+2][slot_idx-2] == token and board[array_idx+3][slot_idx-3] == token: + game_won = 1 + elif board[array_idx-1][slot_idx+1] == token and board[array_idx-2][slot_idx+2] == token and board[array_idx-3][slot_idx+3] == token: + game_won = 1 + except: + pass + if game_won == 1: + display_board() # note print the whole new board at the end to show the win + print(f'Congratulations {player}, you won!') + print(sep) + ## Rematch flag outside of while loop?? LATER + replay = input(print("Would you like to have a rematch?: ")) + if replay.upper == "YES" or "y": # later add conditional for 1 as an input, convert input to string + connect4() + else: + print(sep) + print("Thanks for playing!") + print(sep) break - - for slot in inner_array: - if slot == token: - array_idx = board.index(inner_array) - slot_idx = inner_array.index(slot) - try: - # if diag down is a win - if board[array_idx+1][slot_idx+1] == token and board[array_idx+2][slot_idx+2] == token and board[array_idx+3][slot_idx+3] == token: - game_won = 1 - elif board[array_idx-1][slot_idx-1] == token and board[array_idx-2][slot_idx-2] == token and board[array_idx-3][slot_idx-3] == token: - game_won = 1 - except: - pass - - try: - # if diagonal up is a win - if board[array_idx+1][slot_idx-1] == token and board[array_idx+2][slot_idx-2] == token and board[array_idx+3][slot_idx-3] == token: - game_won = 1 - elif board[array_idx-1][slot_idx+1] == token and board[array_idx-2][slot_idx+2] == token and board[array_idx-3][slot_idx+3] == token: - game_won = 1 - except: - pass - - if game_won == 1: - display_board() # note print the whole new board at the end to show the win - print(f'Congratulations {player}, you won!') - print(sep) - ## Rematch flag outside of while loop?? LATER - replay = input(print("Would you like to have a rematch?: ")) - if replay.upper == "YES" or "y": # later add conditional for 1 as an input, convert input to string - connect4() + + # switch player, then attempt to start the turn over - if game_won == 1, the turns will end + if player == 'PLAYER 1': + player = 'PLAYER 2' + token = 's' else: - print(sep) - print("Thanks for playing!") - print(sep) - break + player = 'PLAYER 1' + token = 'x' - # switch player, then attempt to start the turn over - if game_won == 1, the turns will end - if player == 'PLAYER 1': - player = 'PLAYER 2' - token = 's' - else: - player = 'PLAYER 1' - token = 'x' - -connect4() + connect4() Just so you really see how much I love Python, here is some code BUT with some colours for keywords & functionality! From 06e6ee40d0040fc857be630e7f5a8b62dae8778c Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 13:30:12 -0400 Subject: [PATCH 10/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 485bb42ec..bd37cb21b 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -5,11 +5,8 @@ image: "/posts/coffee_python.jpg" tags: [Python, Game] --- -# My first project -## is all about -### how much -#### I LOVE -##### Python & Coffee! +# Console Connect4! +#### Exercising my python skills, specifically through looping through a list of lists, checking for horizontal, vertical, and diagonal wins --- From 824fae2df72e45e1f9913f48fee1e38320415a2d Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 13:37:52 -0400 Subject: [PATCH 11/89] Add files via upload --- img/posts/connect4_console.jpg | Bin 0 -> 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zs;{={9BfE(cvtVgYqBaLGdix)Di9UZ!+W6V{WIex)lJw8x7a14==t3H5!Q~TKB+{H z3Q^|7RV4CxW&U1!34)4_G3NXW$2EgTZ2E#~2UagZUT3F#>9?s3H!Cw7i#)J&no-zC zl1vXWyByu@aIEy0^$vnKBe=^p;HK3(k5FVS1|l?AedT9|;^*l0l1poj5 literal 0 HcmV?d00001 From c02b142b9f20921aea48660f7b076201ff01211b Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 13:38:15 -0400 Subject: [PATCH 12/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index bd37cb21b..12d3294eb 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -1,7 +1,7 @@ --- layout: post title: Connect4 -image: "/posts/coffee_python.jpg" +image: "/posts/connect4_console.jpg" tags: [Python, Game] --- From 8a6d8ea340238bf7386fb6d3242ecbec1596fdd9 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 13:53:41 -0400 Subject: [PATCH 13/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 12d3294eb..4aa08b6a8 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -6,7 +6,10 @@ tags: [Python, Game] --- # Console Connect4! -#### Exercising my python skills, specifically through looping through a list of lists, checking for horizontal, vertical, and diagonal wins +#### Exercising my python skills by creating a Connect 4 game you can play directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt. +###### This project exhibits looping through "board", a list of lists with each sublist representing a row in the board while each entry within the sublist represents a column. Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. + +###### After each player places a token, the function assesses whether either player's tokens have 4 "connected" tokens, whther is be a match of 4 in a row, 4 in a column or 4 diagonally --- @@ -23,7 +26,8 @@ Firstly, I love Python so much, here is some code! ["0", "0", "0", "0", "0", "0", "0", "0"]] sep = '----------------------------------------' col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' - + print(sep) + print(" CONNECT 4") def display_board(): # set up the board! print(sep) From 8fbebca8f3692eed9b68848ef36e18f4ad42645e Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 13:59:55 -0400 Subject: [PATCH 14/89] Delete img/posts/connect4_console.jpg --- img/posts/connect4_console.jpg | Bin 26043 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 img/posts/connect4_console.jpg diff --git a/img/posts/connect4_console.jpg b/img/posts/connect4_console.jpg deleted file mode 100644 index 86a771767aed305d385a645284d838f853a67594..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 26043 zcmeFYXINBSvo^R9BuLIVC~&jE0Py zl8Ty|nuwH^j)sbkf{L2z>Lpm%;BRoQ6I{PeKt)VQO!fcx^Sc8e$H!vB3dP2{1zaP? z!Y0T1-2<=!0M>PIwpSDW`-622oFgtCKEVw_@PS$~;2IV-_B9;rt676j2ZG-NIONwU 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From: golden-hail Date: Wed, 1 Jul 2026 14:14:32 -0400 Subject: [PATCH 17/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 4aa08b6a8..4068f40ee 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -6,14 +6,15 @@ tags: [Python, Game] --- # Console Connect4! -#### Exercising my python skills by creating a Connect 4 game you can play directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt. +#### Exercising my python skills by creating a Connect 4 game you can play directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt! + ###### This project exhibits looping through "board", a list of lists with each sublist representing a row in the board while each entry within the sublist represents a column. Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. ###### After each player places a token, the function assesses whether either player's tokens have 4 "connected" tokens, whther is be a match of 4 in a row, 4 in a column or 4 diagonally --- -Firstly, I love Python so much, here is some code! +The first part of our Connect4 function requires us to set up the game board, "board": a list of lists signifying slot positions def connect4(): # need copy of list, board? since the old didn't get overwritten? @@ -28,6 +29,7 @@ Firstly, I love Python so much, here is some code! col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' print(sep) print(" CONNECT 4") + def display_board(): # set up the board! print(sep) From cdf3a35842b6e79dfd2b2bd1bbfaa0909b78a55a Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 14:21:41 -0400 Subject: [PATCH 18/89] Delete 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2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 14 +++++++++----- 1 file changed, 9 insertions(+), 5 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 4068f40ee..e01899d4f 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -14,7 +14,7 @@ tags: [Python, Game] --- -The first part of our Connect4 function requires us to set up the game board, "board": a list of lists signifying slot positions +The first part of our Connect4 function requires us to set up a fresh game board, "board", which is a list of lists signifying slot positions def connect4(): # need copy of list, board? since the old didn't get overwritten? @@ -29,7 +29,9 @@ The first part of our Connect4 function requires us to set up the game board, "b col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' print(sep) print(" CONNECT 4") - + +We then want to create a function that will display "board" as it is updated between turns + def display_board(): # set up the board! print(sep) @@ -42,7 +44,8 @@ The first part of our Connect4 function requires us to set up the game board, "b print(col_labels) print(sep) - # Starting State: Player one's turn (opportunity to do a randomizer on who goes first... and maybe if they want to rematch :) =) +Starting State: Player one's turn (opportunity to do a randomizer on who goes first... and maybe if they want to rematch :) =) + player = 'PLAYER 1' token = 'x' @@ -51,7 +54,9 @@ The first part of our Connect4 function requires us to set up the game board, "b game_won = 0 col_height = [0, 0, 0, 0, 0, 0, 0, 0] valid_move = False - + +Game time! + # Game time! while game_won == 0: display_board() @@ -83,7 +88,6 @@ The first part of our Connect4 function requires us to set up the game board, "b # find the correct row to place the token into while board[bot_row][slot_in] != "0": bot_row -= 1 - print(bot_row) # place the token board[bot_row][slot_in] = token From 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z@C{#{?Wd4Hg7X)kK|Vfl!JqL_%%fpJ(@6G5^r7+D5iYlRj+*Dt<8 literal 0 HcmV?d00001 From 5fb61d2c697800170f394f0b511d3b342eac8f00 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 16:02:03 -0400 Subject: [PATCH 25/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 32 ++++++++++++++++---------------- 1 file changed, 16 insertions(+), 16 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index e01899d4f..a260c7484 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -1,23 +1,23 @@ --- layout: post -title: Connect4 +title: Console Connect 4 image: "/posts/connect4_console.jpg" tags: [Python, Game] --- -# Console Connect4! +# Console Connect 4! #### Exercising my python skills by creating a Connect 4 game you can play directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt! ###### This project exhibits looping through "board", a list of lists with each sublist representing a row in the board while each entry within the sublist represents a column. Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. -###### After each player places a token, the function assesses whether either player's tokens have 4 "connected" tokens, whther is be a match of 4 in a row, 4 in a column or 4 diagonally +###### After each player places a token, the function assesses whether either player's tokens have 4 "connected" tokens, whether is be a match of 4 in a row, 4 in a column or 4 diagonally --- -The first part of our Connect4 function requires us to set up a fresh game board, "board", which is a list of lists signifying slot positions +The first part of the Connect4 function sets up a fresh game board, "board", which is a list of lists signifying gameboard slot positions. def connect4(): - # need copy of list, board? since the old didn't get overwritten? + # Starting state: empty board, player 1 goes first board = [["0", "0", "0", "0", "0", "0", "0", "0"], ["0", "0", "0", "0", "0", "0", "0", "0"], ["0", "0", "0", "0", "0", "0", "0", "0"], @@ -27,6 +27,17 @@ The first part of our Connect4 function requires us to set up a fresh game board ["0", "0", "0", "0", "0", "0", "0", "0"]] sep = '----------------------------------------' col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' + + # Player 1's turn (opportunity to do a randomizer on who goes first) + player = 'PLAYER 1' + token = 'x' + + hor_win = 0 + vert_win = 0 + game_won = 0 + col_height = [0, 0, 0, 0, 0, 0, 0, 0] + valid_move = False + print(sep) print(" CONNECT 4") @@ -44,17 +55,6 @@ We then want to create a function that will display "board" as it is updated bet print(col_labels) print(sep) -Starting State: Player one's turn (opportunity to do a randomizer on who goes first... and maybe if they want to rematch :) =) - - player = 'PLAYER 1' - token = 'x' - - hor_win = 0 - vert_win = 0 - game_won = 0 - col_height = [0, 0, 0, 0, 0, 0, 0, 0] - valid_move = False - Game time! # Game time! From ceda7ce14e8813b31cdf842f3454f02b96927bd3 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 16:04:38 -0400 Subject: [PATCH 26/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index a260c7484..4400159f8 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -15,7 +15,7 @@ tags: [Python, Game] --- The first part of the Connect4 function sets up a fresh game board, "board", which is a list of lists signifying gameboard slot positions. - +```python def connect4(): # Starting state: empty board, player 1 goes first board = [["0", "0", "0", "0", "0", "0", "0", "0"], @@ -40,6 +40,7 @@ The first part of the Connect4 function sets up a fresh game board, "board", whi print(sep) print(" CONNECT 4") +``` We then want to create a function that will display "board" as it is updated between turns From e9e28fb6d6b3db59f7c49c34277a50e2570aa139 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 16:09:05 -0400 Subject: [PATCH 27/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 17 ++++------------- 1 file changed, 4 insertions(+), 13 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 4400159f8..91aef265f 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -42,8 +42,8 @@ The first part of the Connect4 function sets up a fresh game board, "board", whi print(" CONNECT 4") ``` -We then want to create a function that will display "board" as it is updated between turns - +We then want to create a function that will display the current "board" state, as it is updated on each player's turn +```python def display_board(): # set up the board! print(sep) @@ -55,9 +55,10 @@ We then want to create a function that will display "board" as it is updated bet print(sep) print(col_labels) print(sep) +``` Game time! - +```python # Game time! while game_won == 0: display_board() @@ -169,16 +170,6 @@ Game time! token = 'x' connect4() - -Just so you really see how much I love Python, here is some code BUT with some colours for keywords & functionality! - -```python -my_love_for_python = 0 -my_python_knowledge = 0 - -for day in lifetime: - my_love_for_python += 1 - my_python_knowledge += 1 ``` Here is an **unordered list** showing some things I love about Python From 10689515f8cea164032863327ae1d4e85e2c570b Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 16:35:04 -0400 Subject: [PATCH 28/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 32 +++++++++++++++++++++++--------- 1 file changed, 23 insertions(+), 9 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 91aef265f..dab19ef4f 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -14,7 +14,7 @@ tags: [Python, Game] --- -The first part of the Connect4 function sets up a fresh game board, "board", which is a list of lists signifying gameboard slot positions. +The first part of the connect4() function sets up a fresh game board, "board", which is a list of lists signifying gameboard slot positions. ```python def connect4(): # Starting state: empty board, player 1 goes first @@ -62,8 +62,11 @@ Game time! # Game time! while game_won == 0: display_board() - - # check if if input 'slot_in' is a valid input +``` + +Request player selects a column number index 0-7 to drop their token into. Error check the user input to ensure that it is an int 0-7, and therefor a valid token placement. +```python + # check if input 'slot_in' is a valid input while valid_move == False: bot_row = 6 slot_in = input(f"Your move {player} - Select a slot 0-7: " ) @@ -86,7 +89,10 @@ Game time! # clear valid_move check so that the check goes off on the next loop valid_move = False - +``` +Based on the input column number index, find the row to place the token into + +```python # find the correct row to place the token into while board[bot_row][slot_in] != "0": bot_row -= 1 @@ -95,7 +101,10 @@ Game time! board[bot_row][slot_in] = token col_height[slot_in] += 1 - +``` + +Check for the horizontal win condition +```python # check for horozontal win # for each inner array for the board (ie the rows) for inner_array in board: @@ -107,7 +116,10 @@ Game time! hor_win = 0 if hor_win == 4: game_won = 1 - +``` + +Check for the vertical win condition +```python # check vertical win if col_height[slot_in] >= 4: # check with a for loop if each row of the column holds the same token type @@ -118,7 +130,10 @@ Game time! vert_win = 0 if vert_win == 4: game_won = 1 - +``` + +Check for the vertical win condition +```python # # # check diagonal win # diag_down win check for inner_array in board: @@ -146,7 +161,7 @@ Game time! game_won = 1 except: pass - +``` if game_won == 1: display_board() # note print the whole new board at the end to show the win print(f'Congratulations {player}, you won!') @@ -170,7 +185,6 @@ Game time! token = 'x' connect4() -``` Here is an **unordered list** showing some things I love about Python From d24a1c4f5fe4114fbd3530a45528bf4d3f97cd83 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 16:43:20 -0400 Subject: [PATCH 29/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 23 ++++++++++++++++------- 1 file changed, 16 insertions(+), 7 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index dab19ef4f..bd046b511 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -132,9 +132,9 @@ Check for the vertical win condition game_won = 1 ``` -Check for the vertical win condition +Check for the diagonal win conditions ```python - # # # check diagonal win + # check diagonal win # diag_down win check for inner_array in board: if game_won == 1: @@ -162,11 +162,13 @@ Check for the vertical win condition except: pass ``` + +After all possible win conditions are checked, if game_won == 1, say congratualations and offer a rematch. If the players don't want to rematch, break the while loop +```python if game_won == 1: - display_board() # note print the whole new board at the end to show the win + display_board() print(f'Congratulations {player}, you won!') print(sep) - ## Rematch flag outside of while loop?? LATER replay = input(print("Would you like to have a rematch?: ")) if replay.upper == "YES" or "y": # later add conditional for 1 as an input, convert input to string connect4() @@ -175,16 +177,23 @@ Check for the vertical win condition print("Thanks for playing!") print(sep) break - +``` + +If game_won == 0 after the win condition checks, switch players and tokens for the next turn +```python # switch player, then attempt to start the turn over - if game_won == 1, the turns will end if player == 'PLAYER 1': player = 'PLAYER 2' token = 's' else: player = 'PLAYER 1' - token = 'x' - + token = 'x' +``` + +Voila! Now, give this a run and you're ready to play! (NOTE: If running from the command line, input: "python3 connect4.py" +```python connect4() +``` Here is an **unordered list** showing some things I love about Python From 33dcf33fa156e2261e5725d1c09938cf9258debb Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 16:51:06 -0400 Subject: [PATCH 30/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 36 +++++++---------------------------- 1 file changed, 7 insertions(+), 29 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index bd046b511..d98ee6414 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -190,37 +190,15 @@ If game_won == 0 after the win condition checks, switch players and tokens for t token = 'x' ``` -Voila! Now, give this a run and you're ready to play! (NOTE: If running from the command line, input: "python3 connect4.py" +Voila! Now, give this a run and you're ready to play! (NOTE: If running from the command line, input: "python3 connect4.py") ```python - connect4() +connect4() ``` -Here is an **unordered list** showing some things I love about Python - -* For my work - * Data Analysis - * Data Visualisation - * Machine Learning -* For fun - * Deep Learning - * Computer Vision - * Projects about coffee - -Here is an _ordered list_ showing some things I love about coffee - -1. The smell - 1. Especially in the morning, but also at all times of the day! -2. The taste -3. The fact I can run the 100m in approx. 9 seconds after having 4 cups in quick succession - -I love Python & Coffee so much, here is that picture from the top of my project AGAIN, but this time, in the BODY of my project! - -![alt text](/img/posts/coffee_python.jpg "Coffee & Python - I love them!") - -The above image is just linked to the actual file in my Github, but I could also link to images online, using the URL! - -A line break, like this one below - helps me make sense of what I'm reading, especially when I've had so much coffee that my vision goes a little blurry - --- -I could also add things to my project like links, tables, quotes, and HTML blocks - but I'm starting to get a cracking headache. Must be coffee time. +**Looking Forward: Future Enhancements** + +* Randomize whether Player 1 or Player 2 goes first +* Label columns 1-8 instead of 0-7 +* Color-coding console outputs for each player & when the player's input is not valid From f26967e72ac045df29199304f8a901caf61a3cf1 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 17:59:21 -0400 Subject: [PATCH 31/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 3 --- 1 file changed, 3 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index d98ee6414..336e73a60 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -37,9 +37,6 @@ The first part of the connect4() function sets up a fresh game board, "board", w game_won = 0 col_height = [0, 0, 0, 0, 0, 0, 0, 0] valid_move = False - - print(sep) - print(" CONNECT 4") ``` We then want to create a function that will display the current "board" state, as it is updated on each player's turn From c4283cdd5cc9074f725ea13d1f24d23ab667eab3 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 18:02:14 -0400 Subject: [PATCH 32/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 336e73a60..017d1af80 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -6,9 +6,9 @@ tags: [Python, Game] --- # Console Connect 4! -#### Exercising my python skills by creating a Connect 4 game you can play directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt! +#### Play a 2-player game of Connect 4 directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt! -###### This project exhibits looping through "board", a list of lists with each sublist representing a row in the board while each entry within the sublist represents a column. Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. +###### This project exhibits looping through "board", a list of lists with each sublist representing a row in the board while each entry within the sublist represents a column index. Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. ###### After each player places a token, the function assesses whether either player's tokens have 4 "connected" tokens, whether is be a match of 4 in a row, 4 in a column or 4 diagonally From 185eb4ad33ed160002057f4f3af1e1e6825c2272 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 18:03:18 -0400 Subject: [PATCH 33/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 1 + 1 file changed, 1 insertion(+) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index 017d1af80..c786768a8 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -8,6 +8,7 @@ tags: [Python, Game] # Console Connect 4! #### Play a 2-player game of Connect 4 directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt! +--- ###### This project exhibits looping through "board", a list of lists with each sublist representing a row in the board while each entry within the sublist represents a column index. Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. ###### After each player places a token, the function assesses whether either player's tokens have 4 "connected" tokens, whether is be a match of 4 in a row, 4 in a column or 4 diagonally From d3ac8b624d582cd78738c1cbf540438b8f7e4d50 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 2 Jul 2026 11:17:15 -0400 Subject: [PATCH 34/89] Create copy --- _posts/copy | 216 ++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 216 insertions(+) create mode 100644 _posts/copy diff --git a/_posts/copy b/_posts/copy new file mode 100644 index 000000000..87420167c --- /dev/null +++ b/_posts/copy @@ -0,0 +1,216 @@ +--- +layout: post +title: Finding Prime Numbers with Python +image: "/posts/primes_image.jpeg" +tags: [Python, Primes] +--- + +In this post I'm going to run through a function in Python that can quickly find all the Prime numbers below a given value. For example, if I passed the function a value of 100, it would find all the prime numbers below 100! + +If you're not sure what a Prime number is, it is a number that can only be divided wholly by itself and one so 7 is a prime number as no other numbers apart from 7 or 1 divide cleanly into it 8 is not a prime number as while eight and one divide into it, so do 2 and 4 + +Let's get into it! + +--- + +First let's start by setting up a variable that will act as the upper limit of numbers we want to search through. We'll start with 20, so we're essentially wanting to find all prime numbers that exist that are equal to or smaller than 20 + +```ruby +n = 20 +``` + +The smallest true Prime number is 2, so we want to start by creating a list of numbers than need checking so every integer between 2 and what we set above as the upper bound which in this case was 20. We use n+1 as the range logic is not inclusive of the upper limit we set there + +Instead of using a list, we're going to use a set. The reason for this is that sets have some special functions that will allow us to eliminate non-primes during our search. You'll see what I mean soon... + +```ruby +number_range = set(range(2, n+1)) +``` + +Let's also create a place where we can store any primes we discover. A list will be perfect for this job + +```ruby +primes_list = [] +``` + +We're going to end up using a while loop to iterate through our list and check for primes, but before we construct that I always it valuable to code up the logic and iterate manually first. This means I can check that it is working correctly before I set it off to run through everything on it's own + +So, we have our set of numbers (called number_range to check all integers between 2 and 20. Let's extract the first number from that set that we want to check as to whether it's a prime. When we check the value we're going to check if it is a prime...if it is, we're going to add it to our list called primes_list...if it isn't a prime we don't want to keep it + +There is a method which will remove an element from a list or set and provide that value to us, and that method is called *pop* + +```ruby +print(number_range) +>>> {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} +``` +If we use pop, and assign this to the object called **prime** it will *pop* the first element from the set out of **number_range**, and into **prime** + +```ruby +prime = number_range.pop() +print(prime) +>>> 2 +print(number_range) +>>> {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} +``` + +Now, we know that the very first value in our range is going to be a prime...as there is nothing smaller than it so therefore nothing else could possible divide evenly into it. As we know it's a prime, let's add it to our list of primes... + +```ruby +primes_list.append(prime) +print(primes_list) +>>> [2] +``` + +Now we're going to do a special trick to check our remaining number_range for non-primes. For the prime number we just checked (in this first case it was the number 2) we want to generate all the multiples of that up to our upper range (in our case, 20). + +We're going to again use a set rather than a list, because it allows us some special functionality that we'll use soon, which is the magic of this approach. + +```ruby +multiples = set(range(prime*2, n+1, prime)) +``` + +Remember that when created a range the syntax is range(start, stop, step). For the starting point - we don't need our number as that has already been added as a prime, so let's start our range of multiples at 2 * our number as that is the first multiple, in our case, our number is 2 so the first multiple will be 4. If the number we were checking was 3 then the first multiple would be 6 - and so on. + +For the stopping point of our range - we specify that we want our range to go up to 20, so we use n+1 to specify that we want 20 to be included. + +Now, the **step** is key here. We want multiples of our number, so we want to increment in steps *of our* number so we can put in **prime** here + +Lets have a look at our list of multiples... + +```ruby +print(multiples) +>>> {4, 6, 8, 10, 12, 14, 16, 18, 20} +``` + +The next part is the magic I spoke about earlier, we're using the special set functionality **difference_update** which removes any values from our number range that are multiples of the number we just checked. The reason we're doing this is because if a number is a multiple of anything other than 1 or itself then it is **not a prime number** and can remove it from the list to be checked. + +Before we apply the **difference_update**, let's look at our two sets. + +```ruby +print(number_range) +>>> {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} + +print(multiples) +>>> {4, 6, 8, 10, 12, 14, 16, 18, 20} +``` + +**difference_update** works in a way that will update one set to only include the values that are *different* from those in a second set + +To use this, we put our initial set and then apply the difference update with our multiples + +```ruby +number_range.difference_update(multiples) +print(number_range) +>>> {3, 5, 7, 9, 11, 13, 15, 17, 19} +``` + +When we look at our number range now, all values that were also present in the multiples set have been removed as we *know* they were not primes + +This is amazing! We've made a massive reduction to the pool of numbers that need to be tested so this is really efficient. It also means the smallest number in our range *is a prime number* as we know nothing smaller than it divides into it...and this means we can run all that logic again from the top! + +Whenever you can run sometime over and over again, a while loop is often a good solution. + +Here is the code, with a while loop doing the hard work of updated the number list and extracting primes until the list is empty. + +Let's run it for any primes below 1000... + +```ruby +n = 1000 + +# number range to be checked +number_range = set(range(2, n+1)) + +# empty list to append discovered primes to +primes_list = [] + +# iterate until list is empty +while number_range: + prime = number_range.pop() + primes_list.append(prime) + multiples = set(range(prime*2, n+1, prime)) + number_range.difference_update(multiples) +``` + +Let's print the primes_list to have a look at what we found! + +```ruby +print(primes_list) +>>> [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997] +``` + +Let's now get some interesting stats from our list which we can use to summarise our findings, the number of primes that were found, and the largest prime in the list! + +```ruby +prime_count = len(primes_list) +largest_prime = max(primes_list) +print(f"There are {prime_count} prime numbers between 1 and {n}, the largest of which is {largest_prime}") +>>> There are 168 prime numbers between 1 and 1000, the largest of which is 997 +``` + +Amazing! + +The next thing to do would be to put it into a neat function, which you can see below: + +```ruby +def primes_finder(n): + + # number range to be checked + number_range = set(range(2, n+1)) + + # empty list to append discovered primes to + primes_list = [] + + # iterate until list is empty + while number_range: + prime = number_range.pop() + primes_list.append(prime) + multiples = set(range(prime*2, n+1, prime)) + number_range.difference_update(multiples) + + prime_count = len(primes_list) + largest_prime = max(primes_list) + print(f"There are {prime_count} prime numbers between 1 and {n}, the largest of which is {largest_prime}") +``` + +Now we can jut pass the function the upper bound of our search and it will do the rest! + +Let's go for something large, say a million... + +```ruby +primes_finder(1000000) +>>> There are 78498 prime numbers between 1 and 1000000, the largest of which is 999983 +``` + +That is pretty cool! + +I hoped you enjoyed learning about Primes, and one way to search for them using Python. + +--- + +###### Important Note: Using pop() on a Set in Python + +In the real world - we would need to make a consideration around the pop() method when used on a Set as in some cases it can be a bit inconsistent. + +The pop() method will usually extract the lowest element of a Set. Sets however are, by definition, unordered. The items are stored internally with some order, but this internal order is determined by the hash code of the key (which is what allows retrieval to be so fast). + +This hashing method means that we can't 100% rely on it successfully getting the lowest value. In very rare cases, the hash provides a value that is not the lowest. + +Even though here, we're just coding up something fun - it is most definitely a useful thing to note when using Sets and pop() in Python in the future! + +The simplest solution to force the minimum value to be used is to replace the line... + +```ruby +prime = number_range.pop() +``` + +...with the lines... + +```ruby +prime = min(sorted(number_range)) +number_range.remove(prime) +``` + +...where we firstly force the identification of the lowest number in the number_range into our prime variable, and following that we remove it. + +However, because we have to sort the list for each iteration of the loop in order to get the minimum value, it's slightly slower than what we saw with pop()! + From 66b5d5141edc9f97ec60128bb86e2a122e0854e4 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 2 Jul 2026 11:27:16 -0400 Subject: [PATCH 35/89] Update and rename copy to 2026-05-02-Prime-Numbers-Finder --- _posts/2026-05-02-Prime-Numbers-Finder | 16 ++ _posts/copy | 216 ------------------------- 2 files changed, 16 insertions(+), 216 deletions(-) create mode 100644 _posts/2026-05-02-Prime-Numbers-Finder delete mode 100644 _posts/copy diff --git a/_posts/2026-05-02-Prime-Numbers-Finder b/_posts/2026-05-02-Prime-Numbers-Finder new file mode 100644 index 000000000..4b797f59a --- /dev/null +++ b/_posts/2026-05-02-Prime-Numbers-Finder @@ -0,0 +1,16 @@ +--- +layout: post +title: Finding Prime Numbers with Python +image: "/posts/primes_image.jpeg" +tags: [Python, Primes] +--- + +Hello! For my first post, I'll be walking through a Python function I wrote that returns a list of all prime numbers that are below a specified input number. For example, if we passed in a value n=10, this function would return a list of all prime numbers below the specified number 10! + +For reference, a prime number is an integer that can only be divided wholly by itself and 1. In our example of n=10, we would expect an output as follows: +```python +>>> {1, 2, 3, 5, 7} +``` + + + diff --git a/_posts/copy b/_posts/copy deleted file mode 100644 index 87420167c..000000000 --- a/_posts/copy +++ /dev/null @@ -1,216 +0,0 @@ ---- -layout: post -title: Finding Prime Numbers with Python -image: "/posts/primes_image.jpeg" -tags: [Python, Primes] ---- - -In this post I'm going to run through a function in Python that can quickly find all the Prime numbers below a given value. For example, if I passed the function a value of 100, it would find all the prime numbers below 100! - -If you're not sure what a Prime number is, it is a number that can only be divided wholly by itself and one so 7 is a prime number as no other numbers apart from 7 or 1 divide cleanly into it 8 is not a prime number as while eight and one divide into it, so do 2 and 4 - -Let's get into it! - ---- - -First let's start by setting up a variable that will act as the upper limit of numbers we want to search through. We'll start with 20, so we're essentially wanting to find all prime numbers that exist that are equal to or smaller than 20 - -```ruby -n = 20 -``` - -The smallest true Prime number is 2, so we want to start by creating a list of numbers than need checking so every integer between 2 and what we set above as the upper bound which in this case was 20. We use n+1 as the range logic is not inclusive of the upper limit we set there - -Instead of using a list, we're going to use a set. The reason for this is that sets have some special functions that will allow us to eliminate non-primes during our search. You'll see what I mean soon... - -```ruby -number_range = set(range(2, n+1)) -``` - -Let's also create a place where we can store any primes we discover. A list will be perfect for this job - -```ruby -primes_list = [] -``` - -We're going to end up using a while loop to iterate through our list and check for primes, but before we construct that I always it valuable to code up the logic and iterate manually first. This means I can check that it is working correctly before I set it off to run through everything on it's own - -So, we have our set of numbers (called number_range to check all integers between 2 and 20. Let's extract the first number from that set that we want to check as to whether it's a prime. When we check the value we're going to check if it is a prime...if it is, we're going to add it to our list called primes_list...if it isn't a prime we don't want to keep it - -There is a method which will remove an element from a list or set and provide that value to us, and that method is called *pop* - -```ruby -print(number_range) ->>> {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} -``` -If we use pop, and assign this to the object called **prime** it will *pop* the first element from the set out of **number_range**, and into **prime** - -```ruby -prime = number_range.pop() -print(prime) ->>> 2 -print(number_range) ->>> {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} -``` - -Now, we know that the very first value in our range is going to be a prime...as there is nothing smaller than it so therefore nothing else could possible divide evenly into it. As we know it's a prime, let's add it to our list of primes... - -```ruby -primes_list.append(prime) -print(primes_list) ->>> [2] -``` - -Now we're going to do a special trick to check our remaining number_range for non-primes. For the prime number we just checked (in this first case it was the number 2) we want to generate all the multiples of that up to our upper range (in our case, 20). - -We're going to again use a set rather than a list, because it allows us some special functionality that we'll use soon, which is the magic of this approach. - -```ruby -multiples = set(range(prime*2, n+1, prime)) -``` - -Remember that when created a range the syntax is range(start, stop, step). For the starting point - we don't need our number as that has already been added as a prime, so let's start our range of multiples at 2 * our number as that is the first multiple, in our case, our number is 2 so the first multiple will be 4. If the number we were checking was 3 then the first multiple would be 6 - and so on. - -For the stopping point of our range - we specify that we want our range to go up to 20, so we use n+1 to specify that we want 20 to be included. - -Now, the **step** is key here. We want multiples of our number, so we want to increment in steps *of our* number so we can put in **prime** here - -Lets have a look at our list of multiples... - -```ruby -print(multiples) ->>> {4, 6, 8, 10, 12, 14, 16, 18, 20} -``` - -The next part is the magic I spoke about earlier, we're using the special set functionality **difference_update** which removes any values from our number range that are multiples of the number we just checked. The reason we're doing this is because if a number is a multiple of anything other than 1 or itself then it is **not a prime number** and can remove it from the list to be checked. - -Before we apply the **difference_update**, let's look at our two sets. - -```ruby -print(number_range) ->>> {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} - -print(multiples) ->>> {4, 6, 8, 10, 12, 14, 16, 18, 20} -``` - -**difference_update** works in a way that will update one set to only include the values that are *different* from those in a second set - -To use this, we put our initial set and then apply the difference update with our multiples - -```ruby -number_range.difference_update(multiples) -print(number_range) ->>> {3, 5, 7, 9, 11, 13, 15, 17, 19} -``` - -When we look at our number range now, all values that were also present in the multiples set have been removed as we *know* they were not primes - -This is amazing! We've made a massive reduction to the pool of numbers that need to be tested so this is really efficient. It also means the smallest number in our range *is a prime number* as we know nothing smaller than it divides into it...and this means we can run all that logic again from the top! - -Whenever you can run sometime over and over again, a while loop is often a good solution. - -Here is the code, with a while loop doing the hard work of updated the number list and extracting primes until the list is empty. - -Let's run it for any primes below 1000... - -```ruby -n = 1000 - -# number range to be checked -number_range = set(range(2, n+1)) - -# empty list to append discovered primes to -primes_list = [] - -# iterate until list is empty -while number_range: - prime = number_range.pop() - primes_list.append(prime) - multiples = set(range(prime*2, n+1, prime)) - number_range.difference_update(multiples) -``` - -Let's print the primes_list to have a look at what we found! - -```ruby -print(primes_list) ->>> [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997] -``` - -Let's now get some interesting stats from our list which we can use to summarise our findings, the number of primes that were found, and the largest prime in the list! - -```ruby -prime_count = len(primes_list) -largest_prime = max(primes_list) -print(f"There are {prime_count} prime numbers between 1 and {n}, the largest of which is {largest_prime}") ->>> There are 168 prime numbers between 1 and 1000, the largest of which is 997 -``` - -Amazing! - -The next thing to do would be to put it into a neat function, which you can see below: - -```ruby -def primes_finder(n): - - # number range to be checked - number_range = set(range(2, n+1)) - - # empty list to append discovered primes to - primes_list = [] - - # iterate until list is empty - while number_range: - prime = number_range.pop() - primes_list.append(prime) - multiples = set(range(prime*2, n+1, prime)) - number_range.difference_update(multiples) - - prime_count = len(primes_list) - largest_prime = max(primes_list) - print(f"There are {prime_count} prime numbers between 1 and {n}, the largest of which is {largest_prime}") -``` - -Now we can jut pass the function the upper bound of our search and it will do the rest! - -Let's go for something large, say a million... - -```ruby -primes_finder(1000000) ->>> There are 78498 prime numbers between 1 and 1000000, the largest of which is 999983 -``` - -That is pretty cool! - -I hoped you enjoyed learning about Primes, and one way to search for them using Python. - ---- - -###### Important Note: Using pop() on a Set in Python - -In the real world - we would need to make a consideration around the pop() method when used on a Set as in some cases it can be a bit inconsistent. - -The pop() method will usually extract the lowest element of a Set. Sets however are, by definition, unordered. The items are stored internally with some order, but this internal order is determined by the hash code of the key (which is what allows retrieval to be so fast). - -This hashing method means that we can't 100% rely on it successfully getting the lowest value. In very rare cases, the hash provides a value that is not the lowest. - -Even though here, we're just coding up something fun - it is most definitely a useful thing to note when using Sets and pop() in Python in the future! - -The simplest solution to force the minimum value to be used is to replace the line... - -```ruby -prime = number_range.pop() -``` - -...with the lines... - -```ruby -prime = min(sorted(number_range)) -number_range.remove(prime) -``` - -...where we firstly force the identification of the lowest number in the number_range into our prime variable, and following that we remove it. - -However, because we have to sort the list for each iteration of the loop in order to get the minimum value, it's slightly slower than what we saw with pop()! - From 19249feed10f3612a5b5160171979eac2b67a71a Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 2 Jul 2026 11:28:15 -0400 Subject: [PATCH 36/89] Update 2026-05-25-Connect4.md --- _posts/2026-05-25-Connect4.md | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md index c786768a8..d04c333d8 100644 --- a/_posts/2026-05-25-Connect4.md +++ b/_posts/2026-05-25-Connect4.md @@ -5,8 +5,7 @@ image: "/posts/connect4_console.jpg" tags: [Python, Game] --- -# Console Connect 4! -#### Play a 2-player game of Connect 4 directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt! +### Play a 2-player game of Connect 4 directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt! --- ###### This project exhibits looping through "board", a list of lists with each sublist representing a row in the board while each entry within the sublist represents a column index. Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. 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z@x(V6Zf!gJIfVZJj~o#3{{XZ906g~%LvY`orjgPcoS$K+MmYUWKYls=PW&5Vuhiw7 ezDJmI_H{T;3I70|9Yavm Date: Thu, 2 Jul 2026 11:31:48 -0400 Subject: [PATCH 38/89] Update 2026-05-02-Prime-Numbers-Finder --- _posts/2026-05-02-Prime-Numbers-Finder | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2026-05-02-Prime-Numbers-Finder b/_posts/2026-05-02-Prime-Numbers-Finder index 4b797f59a..56b6c2cd9 100644 --- a/_posts/2026-05-02-Prime-Numbers-Finder +++ b/_posts/2026-05-02-Prime-Numbers-Finder @@ -1,7 +1,7 @@ --- layout: post title: Finding Prime Numbers with Python -image: "/posts/primes_image.jpeg" +image: "/posts/prime_nums.jpeg" tags: [Python, Primes] --- @@ -9,7 +9,7 @@ Hello! For my first post, I'll be walking through a Python function I wrote that For reference, a prime number is an integer that can only be divided wholly by itself and 1. In our example of n=10, we would expect an output as follows: ```python ->>> {1, 2, 3, 5, 7} +>>> {2, 3, 5, 7} ``` From 2098616a19de51e8fc16994a835da8a8eec8d791 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 2 Jul 2026 12:37:23 -0400 Subject: [PATCH 39/89] trying to fix git pages... --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 2511630f3..b882b22e4 100644 --- a/README.md +++ b/README.md @@ -1 +1 @@ -# my page +# my page! From c3afe35a5778c6fef61f8e09d0fd5eca10d3a1ea Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 2 Jul 2026 12:38:14 -0400 Subject: [PATCH 40/89] Trigger GitHub Pages rebuild From d23df0264031a08f548a4ecf8e8f53b42943946a Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 2 Jul 2026 15:27:07 -0400 Subject: [PATCH 41/89] updated .md file --- _posts/2026-05-02-Prime-Numbers-Finder | 16 ---------------- 1 file changed, 16 deletions(-) delete mode 100644 _posts/2026-05-02-Prime-Numbers-Finder diff --git a/_posts/2026-05-02-Prime-Numbers-Finder b/_posts/2026-05-02-Prime-Numbers-Finder deleted file mode 100644 index 56b6c2cd9..000000000 --- a/_posts/2026-05-02-Prime-Numbers-Finder +++ /dev/null @@ -1,16 +0,0 @@ ---- -layout: post -title: Finding Prime Numbers with Python -image: "/posts/prime_nums.jpeg" -tags: [Python, Primes] ---- - -Hello! For my first post, I'll be walking through a Python function I wrote that returns a list of all prime numbers that are below a specified input number. For example, if we passed in a value n=10, this function would return a list of all prime numbers below the specified number 10! - -For reference, a prime number is an integer that can only be divided wholly by itself and 1. In our example of n=10, we would expect an output as follows: -```python ->>> {2, 3, 5, 7} -``` - - - From f885d3900c6ad3ba7196d558c80b659dba2b6691 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 2 Jul 2026 15:30:32 -0400 Subject: [PATCH 42/89] Add files via upload --- _posts/2026-05-02-Prime-Numbers-Finder.md | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 _posts/2026-05-02-Prime-Numbers-Finder.md diff --git a/_posts/2026-05-02-Prime-Numbers-Finder.md b/_posts/2026-05-02-Prime-Numbers-Finder.md new file mode 100644 index 000000000..56b6c2cd9 --- /dev/null +++ b/_posts/2026-05-02-Prime-Numbers-Finder.md @@ -0,0 +1,16 @@ +--- +layout: post +title: Finding Prime Numbers with Python +image: "/posts/prime_nums.jpeg" +tags: [Python, Primes] +--- + +Hello! For my first post, I'll be walking through a Python function I wrote that returns a list of all prime numbers that are below a specified input number. For example, if we passed in a value n=10, this function would return a list of all prime numbers below the specified number 10! + +For reference, a prime number is an integer that can only be divided wholly by itself and 1. In our example of n=10, we would expect an output as follows: +```python +>>> {2, 3, 5, 7} +``` + + + From 79c9c0e05af2a3e7cd4ee2d6d6db8de1fe6844e2 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 2 Jul 2026 15:50:18 -0400 Subject: [PATCH 43/89] prime numbers finder updates --- _posts/2026-05-02-Prime-Numbers-Finder.md | 15 +++++++++++++-- 1 file changed, 13 insertions(+), 2 deletions(-) diff --git a/_posts/2026-05-02-Prime-Numbers-Finder.md b/_posts/2026-05-02-Prime-Numbers-Finder.md index 56b6c2cd9..c974fdfd0 100644 --- a/_posts/2026-05-02-Prime-Numbers-Finder.md +++ b/_posts/2026-05-02-Prime-Numbers-Finder.md @@ -1,7 +1,7 @@ --- layout: post -title: Finding Prime Numbers with Python -image: "/posts/prime_nums.jpeg" +title: Prime Numbers Finder with Python +image: "/posts/prime_nums.jpg" tags: [Python, Primes] --- @@ -12,5 +12,16 @@ For reference, a prime number is an integer that can only be divided wholly by i >>> {2, 3, 5, 7} ``` +--- +First, let's set our input value "n", the number in which we want to find all prime numbers under +```python +n = 20 +``` + + +The lowest prime number to exist is 2. Because of this, we want our initial list of possible prime numbers, "number_range", to be a list of numbers starting from 3 and ending at specified input "n" +```Python +number_range = set(range(2, n+1)) +``` \ No newline at end of file From 0d78d39c74b54413f15cead7b3f3aa23a637ad44 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 6 Jul 2026 10:24:05 -0400 Subject: [PATCH 44/89] Prime_Numbers_Finder rev 1 --- _posts/2026-05-02-Prime-Numbers-Finder.md | 158 +++++++++++++++++++++- 1 file changed, 153 insertions(+), 5 deletions(-) diff --git a/_posts/2026-05-02-Prime-Numbers-Finder.md b/_posts/2026-05-02-Prime-Numbers-Finder.md index c974fdfd0..7721579a4 100644 --- a/_posts/2026-05-02-Prime-Numbers-Finder.md +++ b/_posts/2026-05-02-Prime-Numbers-Finder.md @@ -5,7 +5,7 @@ image: "/posts/prime_nums.jpg" tags: [Python, Primes] --- -Hello! For my first post, I'll be walking through a Python function I wrote that returns a list of all prime numbers that are below a specified input number. For example, if we passed in a value n=10, this function would return a list of all prime numbers below the specified number 10! +Hello! For my first post, I'll be walking through a Python function I wrote that returns a list of all prime numbers that are below a specified input number, **n**. For example, if we passed in a value n=10, this function would return a list of all prime numbers below the specified number 10! For reference, a prime number is an integer that can only be divided wholly by itself and 1. In our example of n=10, we would expect an output as follows: ```python @@ -13,15 +13,163 @@ For reference, a prime number is an integer that can only be divided wholly by i ``` --- +Before we jump into the final script, we'll be walking through each functional step of the code. In the end, we'll have a while loop that loops through a range of numbers up to the defined number, **n** that is able to return a list of prime numbers within that range. -First, let's set our input value "n", the number in which we want to find all prime numbers under +First, let's set our input value **n**, the number in which we want to find all prime numbers up to. ```python n = 20 ``` +Next, let's define the range of values, up to n = 20. -The lowest prime number to exist is 2. Because of this, we want our initial list of possible prime numbers, "number_range", to be a list of numbers starting from 3 and ending at specified input "n" -```Python +The lowest prime number to exist is 2. Because of this, we want our initial list of possible prime numbers, **number_range**, to be a list of numbers starting from 2 and ending at specified input "n". + +Instead of an ordinary list, however, we'll be using a set for our number_range. Sets are a good choice as sets are faster than lists and contain unique values, however, Stay tuned to find out why! + +```python number_range = set(range(2, n+1)) -``` \ No newline at end of file +>>> {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} +``` +The end goal is to loop through this number_range and extract each value from this set with the *pop* method to determine whether each value is a prime number. If the routine determines a value is prime, we'll append it onto the new **primes_list** list. Let's initialize that empty list! + +```python +primes_list = [] +``` + +The *pop* method removes an element from a list or set, and returns that value to us. 2 is the first value in our number_range, and is the lowest prime number to exist. Let's pop it out and assign it to **prime** + +```python +prime = number_range.pop() +print(prime) +>>> 2 +print(number_range) +>>> {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} +``` + +After the pop is applied, value 2 is no longer in our number_range set. We'll then add this first prime number **prime** to our empty **primes_list** + +```python +primes_list.append(prime) +print(primes_list) +>>> [2] +``` + +All multiples of 2 are by default not prime numbers, since they can be divided by 2 in addition to itself and 1. Let's define a new set for all multiples of 2 that are lower than the defined n=20 value. + +```python +multiples = set(range(prime*2, n+1, prime)) +``` + +The range was determined as follows: range(start, stop, step) + +For the START in our range, we can start with prime*2, which will be the first multiple of the prime number. +For the STOP in our range, we want to stop at the index of our number n=20, which is the value of n+1. +For the STEP in our range, we want multiples of our prime, so we want to increment in steps of this popped out prime number so we can put in our **prime** list. + +Now we can see that this range worked in our output as we have all multiples of 2 up to our n value of 20! + +```python +print(multiples) +>>> {4, 6, 8, 10, 12, 14, 16, 18, 20} +``` + +Here's where the magic happens! Why did we use sets? With sets, we can use a special functionality called **difference_update**. + +Before we apply the **difference_update** method, let's look at our two sets again. + +```python +print(number_range) +>>> {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} + +print(multiples) +>>> {4, 6, 8, 10, 12, 14, 16, 18, 20} +``` + +**difference_update** will be used to update our number_range by dropping the values that exist in the **multiples** list we defined. + +```python +number_range.difference_update(multiples) +print(number_range) +>>> {3, 5, 7, 9, 11, 13, 15, 17, 19} +``` + +Our number_range list is now trimmed down to not include multiples of 2, as we've determined the **multiples** values are not prime. This vastly reduces how many numbers in the number_range we have left to assess. The same steps above can now be applied to the the first number in the new number_range set, 3. We would pop 3 into the primes_list, find all multiples of 3 up to value **n=20**, and then difference_update to remove the non-prime multiples from our number_range set. + +We now have all the pieces to make this loop work, where we can define **n** and have the script return the **primes_list** on it's own! + +Let's assemble our while loop and up the ante, setting our **n** value to 1000: + +```python +n = 1000 + +# define number range +number_range = set(range(2, n+1)) + +# create empty list to append prime numbers to +primes_list = [] + +# iterate until the number_range set is empty +while number_range: + prime = number_range.pop() + primes_list.append(prime) + multiples = set(range(prime*2, n+1, prime)) + number_range.difference_update(multiples) + +print(primes_list) +>>> [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997] +``` + +Success! Now let's throw this all into a function. + +A list of the prime numbers was our goal, however, we can also return a few more details to the user about the extracted primes_list. We can print the amount of prime numbers found in our range as well as what the highest prime number is in the set. + +```python +def primes_finder(n): + + # define number range + number_range = set(range(2, n+1)) + + # create empty list to append prime numbers to + primes_list = [] + + # iterate until the number_range set is empty + while number_range: + prime = number_range.pop() + primes_list.append(prime) + multiples = set(range(prime*2, n+1, prime)) + number_range.difference_update(multiples) + + # count how many primes in primes_list output + prime_count = len(primes_list) + # find the largest prime number + largest_prime = max(primes_list) + # print the details + print(f"There are {prime_count} prime numbers between 1 and {n}, the largest of which is {largest_prime}") + + >>> There are 168 prime numbers between 1 and 1000, the largest of which is 997 +``` + +With our function now defined, it's as easy as running **primes_finder(n)** where n can be any numerical value of choice. + +```python +primes_finder(1000000) +>>> There are 78498 prime numbers between 1 and 1000000, the largest of which is 999983 +``` + +And there we have it! Feel free to copy the function and try it for yourself! :) + +####NOTE ON POP(): + +In this script, we demonstrated the **pop** functionality, however, using pop() on a set could be risky in some instances. + +Pop() extracts the lowest value of a list or set, which seems confusing since sets are unordered by definition. Under the Python covers, however, the elements in the set are internally stored with an order determined by the hash code of each element. Occassionally, this hash may provide a value that is not the lowest. + +To safeguard against this, we can replace the definition of of **prime** value to from *prime = number_range.pop()* to.. + +```python +prime = min(sorted(number_range)) +number_range.remove(prime) +``` + +This definition of prime ascertains that we are always pulling the lowest value out of our number_range. This method, however, is slower as we are sorting the number_range set each time we define **prime**. From 98daaeeb1c796f121d6c3ef59d25e0c14feaf5b3 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 6 Jul 2026 15:31:08 -0400 Subject: [PATCH 45/89] Starting an A/B test post for code that assesses a grocery store's campaign data to determine whether there was a significant difference in sign up rates for customers that received a cheap mailer or a fancy mailer for the promotion --- ...06-09-Finding-Prime-Numbers-With-Python.md | 217 ------------------ _posts/2026-05-02-Prime-Numbers-Finder.md | 8 +- _posts/2026-05-25-Connect4.md | 201 ---------------- img/posts/Prime_Numbers.jpg | Bin 56146 -> 0 bytes img/posts/coffee_python.jpg | Bin 65933 -> 0 bytes img/posts/primes_image.jpeg | Bin 325801 -> 0 bytes 6 files changed, 4 insertions(+), 422 deletions(-) delete mode 100644 _posts/2021-06-09-Finding-Prime-Numbers-With-Python.md delete mode 100644 _posts/2026-05-25-Connect4.md delete mode 100644 img/posts/Prime_Numbers.jpg delete mode 100644 img/posts/coffee_python.jpg delete mode 100644 img/posts/primes_image.jpeg diff --git a/_posts/2021-06-09-Finding-Prime-Numbers-With-Python.md b/_posts/2021-06-09-Finding-Prime-Numbers-With-Python.md deleted file mode 100644 index 31d5defa6..000000000 --- a/_posts/2021-06-09-Finding-Prime-Numbers-With-Python.md +++ /dev/null @@ -1,217 +0,0 @@ ---- -layout: post -title: Finding Prime Numbers with Python -image: "/posts/primes_image.jpeg" -tags: [Python, Primes] ---- - -In this post I'm going to run through a function in Python that can quickly find all the Prime numbers below a given value. For example, if I passed the function a value of 100, it would find all the prime numbers below 100! - -If you're not sure what a Prime number is, it is a number that can only be divided wholly by itself and one so 7 is a prime number as no other numbers apart from 7 or 1 divide cleanly into it 8 is not a prime number as while eight and one divide into it, so do 2 and 4 - -Let's get into it! - ---- - -First let's start by setting up a variable that will act as the upper limit of numbers we want to search through. We'll start with 20, so we're essentially wanting to find all prime numbers that exist that are equal to or smaller than 20 - -```ruby -n = 20 -``` - -The smallest true Prime number is 2, so we want to start by creating a list of numbers than need checking so every integer between 2 and what we set above as the upper bound which in this case was 20. We use n+1 as the range logic is not inclusive of the upper limit we set there - -Instead of using a list, we're going to use a set. The reason for this is that sets have some special functions that will allow us to eliminate non-primes during our search. You'll see what I mean soon... - -```ruby -number_range = set(range(2, n+1)) -``` - -Let's also create a place where we can store any primes we discover. A list will be perfect for this job - -```ruby -primes_list = [] -``` - -We're going to end up using a while loop to iterate through our list and check for primes, but before we construct that I always it valuable to code up the logic and iterate manually first. This means I can check that it is working correctly before I set it off to run through everything on it's own - -So, we have our set of numbers (called number_range to check all integers between 2 and 20. Let's extract the first number from that set that we want to check as to whether it's a prime. When we check the value we're going to check if it is a prime...if it is, we're going to add it to our list called primes_list...if it isn't a prime we don't want to keep it - -There is a method which will remove an element from a list or set and provide that value to us, and that method is called *pop* - -```ruby -print(number_range) ->>> {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} -``` -If we use pop, and assign this to the object called **prime** it will *pop* the first element from the set out of **number_range**, and into **prime** - -```ruby -prime = number_range.pop() -print(prime) ->>> 2 -print(number_range) ->>> {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} -``` - -Now, we know that the very first value in our range is going to be a prime...as there is nothing smaller than it so therefore nothing else could possible divide evenly into it. As we know it's a prime, let's add it to our list of primes... - -```ruby -primes_list.append(prime) -print(primes_list) ->>> [2] -``` - -Now we're going to do a special trick to check our remaining number_range for non-primes. For the prime number we just checked (in this first case it was the number 2) we want to generate all the multiples of that up to our upper range (in our case, 20). - -We're going to again use a set rather than a list, because it allows us some special functionality that we'll use soon, which is the magic of this approach. - -```ruby -multiples = set(range(prime*2, n+1, prime)) -``` - -Remember that when created a range the syntax is range(start, stop, step). For the starting point - we don't need our number as that has already been added as a prime, so let's start our range of multiples at 2 * our number as that is the first multiple, in our case, our number is 2 so the first multiple will be 4. If the number we were checking was 3 then the first multiple would be 6 - and so on. - -For the stopping point of our range - we specify that we want our range to go up to 20, so we use n+1 to specify that we want 20 to be included. - -Now, the **step** is key here. We want multiples of our number, so we want to increment in steps *of our* number so we can put in **prime** here - -Lets have a look at our list of multiples... - -```ruby -print(multiples) ->>> {4, 6, 8, 10, 12, 14, 16, 18, 20} -``` - -The next part is the magic I spoke about earlier, we're using the special set functionality **difference_update** which removes any values from our number range that are multiples of the number we just checked. The reason we're doing this is because if a number is a multiple of anything other than 1 or itself then it is **not a prime number** and can remove it from the list to be checked. - -Before we apply the **difference_update**, let's look at our two sets. - -```ruby -print(number_range) ->>> {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} - -print(multiples) ->>> {4, 6, 8, 10, 12, 14, 16, 18, 20} -``` - -**difference_update** works in a way that will update one set to only include the values that are *different* from those in a second set - -To use this, we put our initial set and then apply the difference update with our multiples - -```ruby -number_range.difference_update(multiples) -print(number_range) ->>> {3, 5, 7, 9, 11, 13, 15, 17, 19} -``` - -When we look at our number range now, all values that were also present in the multiples set have been removed as we *know* they were not primes - -This is amazing! We've made a massive reduction to the pool of numbers that need to be tested so this is really efficient. It also means the smallest number in our range *is a prime number* as we know nothing smaller than it divides into it...and this means we can run all that logic again from the top! - -Whenever you can run sometime over and over again, a while loop is often a good solution. - -Here is the code, with a while loop doing the hard work of updated the number list and extracting primes until the list is empty. - -Let's run it for any primes below 1000... - -```ruby -n = 1000 - -# number range to be checked -number_range = set(range(2, n+1)) - -# empty list to append discovered primes to -primes_list = [] - -# iterate until list is empty -while number_range: - prime = number_range.pop() - primes_list.append(prime) - multiples = set(range(prime*2, n+1, prime)) - number_range.difference_update(multiples) -``` - -Let's print the primes_list to have a look at what we found! - -```ruby -print(primes_list) ->>> [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997] -``` - -Let's now get some interesting stats from our list which we can use to summarise our findings, the number of primes that were found, and the largest prime in the list! - -```ruby -prime_count = len(primes_list) -largest_prime = max(primes_list) -print(f"There are {prime_count} prime numbers between 1 and {n}, the largest of which is {largest_prime}") ->>> There are 168 prime numbers between 1 and 1000, the largest of which is 997 -``` - -Amazing! - -The next thing to do would be to put it into a neat function, which you can see below: - -```ruby -def primes_finder(n): - - # number range to be checked - number_range = set(range(2, n+1)) - - # empty list to append discovered primes to - primes_list = [] - - # iterate until list is empty - while number_range: - prime = number_range.pop() - primes_list.append(prime) - multiples = set(range(prime*2, n+1, prime)) - number_range.difference_update(multiples) - - prime_count = len(primes_list) - largest_prime = max(primes_list) - print(f"There are {prime_count} prime numbers between 1 and {n}, the largest of which is {largest_prime}") -``` - -Now we can jut pass the function the upper bound of our search and it will do the rest! - -Let's go for something large, say a million... - -```ruby -primes_finder(1000000) ->>> There are 78498 prime numbers between 1 and 1000000, the largest of which is 999983 -``` - -That is pretty cool! - -I hoped you enjoyed learning about Primes, and one way to search for them using Python. - ---- - -###### Important Note: Using pop() on a Set in Python - -In the real world - we would need to make a consideration around the pop() method when used on a Set as in some cases it can be a bit inconsistent. - -The pop() method will usually extract the lowest element of a Set. Sets however are, by definition, unordered. The items are stored internally with some order, but this internal order is determined by the hash code of the key (which is what allows retrieval to be so fast). - -This hashing method means that we can't 100% rely on it successfully getting the lowest value. In very rare cases, the hash provides a value that is not the lowest. - -Even though here, we're just coding up something fun - it is most definitely a useful thing to note when using Sets and pop() in Python in the future! - -The simplest solution to force the minimum value to be used is to replace the line... - -```ruby -prime = number_range.pop() -``` - -...with the lines... - -```ruby -prime = min(sorted(number_range)) -number_range.remove(prime) -``` - -...where we firstly force the identification of the lowest number in the number_range into our prime variable, and following that we remove it. - -However, because we have to sort the list for each iteration of the loop in order to get the minimum value, it's slightly slower than what we saw with pop()! - - diff --git a/_posts/2026-05-02-Prime-Numbers-Finder.md b/_posts/2026-05-02-Prime-Numbers-Finder.md index 7721579a4..2abe790ba 100644 --- a/_posts/2026-05-02-Prime-Numbers-Finder.md +++ b/_posts/2026-05-02-Prime-Numbers-Finder.md @@ -63,8 +63,8 @@ multiples = set(range(prime*2, n+1, prime)) The range was determined as follows: range(start, stop, step) -For the START in our range, we can start with prime*2, which will be the first multiple of the prime number. -For the STOP in our range, we want to stop at the index of our number n=20, which is the value of n+1. +For the START in our range, we can start with prime*2, which will be the first multiple of the prime number. +For the STOP in our range, we want to stop at the index of our number n=20, which is the value of n+1. For the STEP in our range, we want multiples of our prime, so we want to increment in steps of this popped out prime number so we can put in our **prime** list. Now we can see that this range worked in our output as we have all multiples of 2 up to our n value of 20! @@ -159,7 +159,7 @@ primes_finder(1000000) And there we have it! Feel free to copy the function and try it for yourself! :) -####NOTE ON POP(): +**A NOTE ON POP():** In this script, we demonstrated the **pop** functionality, however, using pop() on a set could be risky in some instances. @@ -172,4 +172,4 @@ prime = min(sorted(number_range)) number_range.remove(prime) ``` -This definition of prime ascertains that we are always pulling the lowest value out of our number_range. This method, however, is slower as we are sorting the number_range set each time we define **prime**. +This new definition of prime ascertains that we are always pulling the lowest value out of our number_range. This method, however, is slower as we are sorting the number_range set each time we define **prime**. diff --git a/_posts/2026-05-25-Connect4.md b/_posts/2026-05-25-Connect4.md deleted file mode 100644 index d04c333d8..000000000 --- a/_posts/2026-05-25-Connect4.md +++ /dev/null @@ -1,201 +0,0 @@ ---- -layout: post -title: Console Connect 4 -image: "/posts/connect4_console.jpg" -tags: [Python, Game] ---- - -### Play a 2-player game of Connect 4 directly in your console of choice, whether that be Anaconda reader, WSL, or CMD prompt! - ---- -###### This project exhibits looping through "board", a list of lists with each sublist representing a row in the board while each entry within the sublist represents a column index. Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. - -###### After each player places a token, the function assesses whether either player's tokens have 4 "connected" tokens, whether is be a match of 4 in a row, 4 in a column or 4 diagonally - ---- - -The first part of the connect4() function sets up a fresh game board, "board", which is a list of lists signifying gameboard slot positions. -```python - def connect4(): - # Starting state: empty board, player 1 goes first - board = [["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"], - ["0", "0", "0", "0", "0", "0", "0", "0"]] - sep = '----------------------------------------' - col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' - - # Player 1's turn (opportunity to do a randomizer on who goes first) - player = 'PLAYER 1' - token = 'x' - - hor_win = 0 - vert_win = 0 - game_won = 0 - col_height = [0, 0, 0, 0, 0, 0, 0, 0] - valid_move = False -``` - -We then want to create a function that will display the current "board" state, as it is updated on each player's turn -```python - def display_board(): - # set up the board! - print(sep) - print(sep) - for collection in board: - for slot in collection: - print(" " + slot, end=" ") - print() - print(sep) - print(col_labels) - print(sep) -``` - -Game time! -```python - # Game time! - while game_won == 0: - display_board() -``` - -Request player selects a column number index 0-7 to drop their token into. Error check the user input to ensure that it is an int 0-7, and therefor a valid token placement. -```python - # check if input 'slot_in' is a valid input - while valid_move == False: - bot_row = 6 - slot_in = input(f"Your move {player} - Select a slot 0-7: " ) - - try: - slot_in = int(slot_in) - bot_row = 6 - if slot_in > 7: # check if slot exists (only 0-7 exists) - display_board() - print(f"{slot_in} is greater than 7. Let's try again!") - elif col_height[slot_in] > 6: # check if the column of slot_in is full - display_board() - print(f"Column {slot_in} is full. Let's try again!") - else: - valid_move = True - except: - if isinstance(slot_in, int) == False: - display_board() - print(f"Your input, '{slot_in}' is not a number. Let's try again!") - - # clear valid_move check so that the check goes off on the next loop - valid_move = False -``` -Based on the input column number index, find the row to place the token into - -```python - # find the correct row to place the token into - while board[bot_row][slot_in] != "0": - bot_row -= 1 - - # place the token - board[bot_row][slot_in] = token - - col_height[slot_in] += 1 -``` - -Check for the horizontal win condition -```python - # check for horozontal win - # for each inner array for the board (ie the rows) - for inner_array in board: - # for each index in each row array (inner_array) - for slot in inner_array: - if slot == token: - hor_win += 1 - else: - hor_win = 0 - if hor_win == 4: - game_won = 1 -``` - -Check for the vertical win condition -```python - # check vertical win - if col_height[slot_in] >= 4: - # check with a for loop if each row of the column holds the same token type - for inner_array in board: - if inner_array[slot_in] == token: - vert_win += 1 - else: - vert_win = 0 - if vert_win == 4: - game_won = 1 -``` - -Check for the diagonal win conditions -```python - # check diagonal win - # diag_down win check - for inner_array in board: - if game_won == 1: - break - - for slot in inner_array: - if slot == token: - array_idx = board.index(inner_array) - slot_idx = inner_array.index(slot) - try: - # if diag down is a win - if board[array_idx+1][slot_idx+1] == token and board[array_idx+2][slot_idx+2] == token and board[array_idx+3][slot_idx+3] == token: - game_won = 1 - elif board[array_idx-1][slot_idx-1] == token and board[array_idx-2][slot_idx-2] == token and board[array_idx-3][slot_idx-3] == token: - game_won = 1 - except: - pass - - try: - # if diagonal up is a win - if board[array_idx+1][slot_idx-1] == token and board[array_idx+2][slot_idx-2] == token and board[array_idx+3][slot_idx-3] == token: - game_won = 1 - elif board[array_idx-1][slot_idx+1] == token and board[array_idx-2][slot_idx+2] == token and board[array_idx-3][slot_idx+3] == token: - game_won = 1 - except: - pass -``` - -After all possible win conditions are checked, if game_won == 1, say congratualations and offer a rematch. If the players don't want to rematch, break the while loop -```python - if game_won == 1: - display_board() - print(f'Congratulations {player}, you won!') - print(sep) - replay = input(print("Would you like to have a rematch?: ")) - if replay.upper == "YES" or "y": # later add conditional for 1 as an input, convert input to string - connect4() - else: - print(sep) - print("Thanks for playing!") - print(sep) - break -``` - -If game_won == 0 after the win condition checks, switch players and tokens for the next turn -```python - # switch player, then attempt to start the turn over - if game_won == 1, the turns will end - if player == 'PLAYER 1': - player = 'PLAYER 2' - token = 's' - else: - player = 'PLAYER 1' - token = 'x' -``` - -Voila! Now, give this a run and you're ready to play! (NOTE: If running from the command line, input: "python3 connect4.py") -```python -connect4() -``` - ---- - -**Looking Forward: Future Enhancements** - -* Randomize whether Player 1 or Player 2 goes first -* Label columns 1-8 instead of 0-7 -* Color-coding console outputs for each player & when the player's input is not valid diff --git a/img/posts/Prime_Numbers.jpg b/img/posts/Prime_Numbers.jpg deleted file mode 100644 index c5ab537224aaea0e983bc283be276b5bda253bef..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 56146 zcmce-bySsI^e##%A%e8DD4?_m(j`cDgS0f#-JpOdozmSc-QC@_>D+X8p0)jcBr}faern?Gp~bR(BYSw8FK3(Y-d)MUB0}C0gPbqra@Wp@OafAU$AkcEgL{D$ zet3ied*vO51pDPn3H$kq5+3%80u}ZX1;yaxu-5b7}HbrPlL&zD2vyX9hNB2*1&v#msc4 zYw>9-$|fW}Kz7Ox57RO|`XAdu31LQIa}F0r4*1$LOQR+o4WDD2_t$^C&C1KMXycEG z`zv9aJg9Vb{E*kAq{N&iQbSY)O zdW6R8Gb{!|t8X7qaeAfHvaZ(d-y4Mwpg)`DeTVgLEo#nhR;SmI%OgbZFM-wDS0#+w zmCt(y+~y7vsYE+N38OBG?zUsehaH{NAUE8Z(`>KwDAFr!$t0WuQ`W}xQ1wc|61osppj;8vNdn)cX3Rj 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Players take turns choosing a column index 0-7 to place their token into. Tokens can only be placed in legal column slots (0-7) and they will fall to the inital bottom row 6, unless a token has already been placed in that row. If that is the case, the function looks for the next slot in the column that does not have a token and will place the token there, assuming the column is not full. + +###### After each player places a token, the function assesses whether either player's tokens have 4 "connected" tokens, whether is be a match of 4 in a row, 4 in a column or 4 diagonally + +--- + +The first part of the connect4() function sets up a fresh game board, "board", which is a list of lists signifying gameboard slot positions. +```python + def connect4(): + # Starting state: empty board, player 1 goes first + board = [["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"], + ["0", "0", "0", "0", "0", "0", "0", "0"]] + sep = '----------------------------------------' + col_labels = ' 0 1 2 3 4 5 6 7 <--- column numbers' + + # Player 1's turn (opportunity to do a randomizer on who goes first) + player = 'PLAYER 1' + token = 'x' + + hor_win = 0 + vert_win = 0 + game_won = 0 + col_height = [0, 0, 0, 0, 0, 0, 0, 0] + valid_move = False +``` + +We then want to create a function that will display the current "board" state, as it is updated on each player's turn +```python + def display_board(): + # set up the board! + print(sep) + print(sep) + for collection in board: + for slot in collection: + print(" " + slot, end=" ") + print() + print(sep) + print(col_labels) + print(sep) +``` + +Game time! +```python + # Game time! + while game_won == 0: + display_board() +``` + +Request player selects a column number index 0-7 to drop their token into. Error check the user input to ensure that it is an int 0-7, and therefor a valid token placement. +```python + # check if input 'slot_in' is a valid input + while valid_move == False: + bot_row = 6 + slot_in = input(f"Your move {player} - Select a slot 0-7: " ) + + try: + slot_in = int(slot_in) + bot_row = 6 + if slot_in > 7: # check if slot exists (only 0-7 exists) + display_board() + print(f"{slot_in} is greater than 7. Let's try again!") + elif col_height[slot_in] > 6: # check if the column of slot_in is full + display_board() + print(f"Column {slot_in} is full. Let's try again!") + else: + valid_move = True + except: + if isinstance(slot_in, int) == False: + display_board() + print(f"Your input, '{slot_in}' is not a number. Let's try again!") + + # clear valid_move check so that the check goes off on the next loop + valid_move = False +``` +Based on the input column number index, find the row to place the token into + +```python + # find the correct row to place the token into + while board[bot_row][slot_in] != "0": + bot_row -= 1 + + # place the token + board[bot_row][slot_in] = token + + col_height[slot_in] += 1 +``` + +Check for the horizontal win condition +```python + # check for horozontal win + # for each inner array for the board (ie the rows) + for inner_array in board: + # for each index in each row array (inner_array) + for slot in inner_array: + if slot == token: + hor_win += 1 + else: + hor_win = 0 + if hor_win == 4: + game_won = 1 +``` + +Check for the vertical win condition +```python + # check vertical win + if col_height[slot_in] >= 4: + # check with a for loop if each row of the column holds the same token type + for inner_array in board: + if inner_array[slot_in] == token: + vert_win += 1 + else: + vert_win = 0 + if vert_win == 4: + game_won = 1 +``` + +Check for the diagonal win conditions +```python + # check diagonal win + # diag_down win check + for inner_array in board: + if game_won == 1: + break + + for slot in inner_array: + if slot == token: + array_idx = board.index(inner_array) + slot_idx = inner_array.index(slot) + try: + # if diag down is a win + if board[array_idx+1][slot_idx+1] == token and board[array_idx+2][slot_idx+2] == token and board[array_idx+3][slot_idx+3] == token: + game_won = 1 + elif board[array_idx-1][slot_idx-1] == token and board[array_idx-2][slot_idx-2] == token and board[array_idx-3][slot_idx-3] == token: + game_won = 1 + except: + pass + + try: + # if diagonal up is a win + if board[array_idx+1][slot_idx-1] == token and board[array_idx+2][slot_idx-2] == token and board[array_idx+3][slot_idx-3] == token: + game_won = 1 + elif board[array_idx-1][slot_idx+1] == token and board[array_idx-2][slot_idx+2] == token and board[array_idx-3][slot_idx+3] == token: + game_won = 1 + except: + pass +``` + +After all possible win conditions are checked, if game_won == 1, say congratualations and offer a rematch. If the players don't want to rematch, break the while loop +```python + if game_won == 1: + display_board() + print(f'Congratulations {player}, you won!') + print(sep) + replay = input(print("Would you like to have a rematch?: ")) + if replay.upper == "YES" or "y": # later add conditional for 1 as an input, convert input to string + connect4() + else: + print(sep) + print("Thanks for playing!") + print(sep) + break +``` + +If game_won == 0 after the win condition checks, switch players and tokens for the next turn +```python + # switch player, then attempt to start the turn over - if game_won == 1, the turns will end + if player == 'PLAYER 1': + player = 'PLAYER 2' + token = 's' + else: + player = 'PLAYER 1' + token = 'x' +``` + +Voila! Now, give this a run and you're ready to play! (NOTE: If running from the command line, input: "python3 connect4.py") +```python +connect4() +``` + +--- + +**Looking Forward: Future Enhancements** + +* Randomize whether Player 1 or Player 2 goes first +* Label columns 1-8 instead of 0-7 +* Color-coding console outputs for each player & when the player's input is not valid diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md new file mode 100644 index 000000000..adcc90f00 --- /dev/null +++ b/_posts/2026-06-12-chi-square-test.md @@ -0,0 +1,147 @@ +--- +layout: post +title: Assessing Campaign Performance Using Chi-Square Test For Independence +image: "/posts/ab-testing.jpg" +tags: [AB Testing, Hypothesis Testing, Chi-Square, Python] +--- + +!!!In this project, we'll be running an A/B test on grocery retailer campaign data to determine whether the quality of the promotion mailers sent to customers for a membership had an impact on whether the customer signed up or not. + +We will do this through applying the Chi-Square Test For Independence to measure the significance of the difference in signups between 2 groups. + +# Table of contents + +- [00. Project Overview](#overview-main) + - [Context](#overview-context) + - [Actions](#overview-actions) + - [Results & Discussion](#overview-results) +- [01. Concept Overview](#concept-overview) +- [02. Data Overview & Preparation](#data-overview) +- [03. Applying Chi-Square Test For Independence](#chi-square-application) +- [04. Analysing The Results](#chi-square-results) +- [05. Discussion](#discussion) + +___ + +# Project Overview + +### Context + +In late June, our client, a grocery retailer, ran a campaign to promote their new "Delivery Club" membership. Signing up for the club costs $100 and gives customers free grocery deliveries for one year, starting June 1st. + +For the campaign promoting the club, customers were put randomly into three groups: +The first group received a cheap, low quality mailer, Mailer 1. +The second group received a colorful, high quality, high cost mailer, Mailer 2. +The third group was a control group. They did not receive any mailer. + +The client knows that customers who were contacted, signed up for the Delivery Club at a far higher rate than the control group, but are now curious as to if there is a significant difference in customer signup rate between the cheap mailer and the expensive mailer. This will allow them to make more informed decisions in the future, such as whether it is worth it to spend the money on fancier mailers or not. + +
+
+ +### Actions + +!!!! + +Note: The *Z-Test For Proportions* is another viable test to run for measuring rates. + +
+
+ +### Results & Discussion + +!!!! + +
+
+ +___ + +# Concept Overview + +
+#### A/B Testing + +An A/B test takes two randomized groups, A and B, and provides them with different experiences. Both groups get their own version of an experience. + +For example, a company may post 2 different pictures advertising the same product. With an A/B test, we could look to measure whether either ad picture significantly impacted the amount of user clicks. + +Measuring the response of each group provides us with information that can help drive future business decisions. + +
+#### Hypothesis Testing + +A Hypothesis Test is + +
+**The Null Hypothesis** + + + +
+**The Alternate Hypothesis** + + + +
+**The Acceptance Criteria** + + + +
+**Types Of Hypothesis Test** + +There are many types of hypothesis tests. + +
+#### Chi-Square Test For Independence + + +___ + +
+# Data Overview & Preparation + + +___ + +
+# Applying Chi-Square Test For Independence + +
+#### State Hypotheses & Acceptance Criteria For Test + + + +``` + +
+#### Calculate Observed Frequencies & Expected Frequencies + + + +___ + +
+# Analysing The Results + + + +```python + +# print the results (based upon p-value) + + +``` +
+As we can see from the outputs of these print statements, we do indeed retain the null hypothesis. We could not find enough evidence that the signup rates for Mailer 1 and Mailer 2 were different - and thus conclude that there was no significant difference. + +___ + +
+# Discussion +``` +Because there is no significant difference between the signup rate of Mailer recipients, we could recommend that for the next promotion, the grocery store only send the cheap version of the mailers to customers. This can save the business money overall. + +If we did however, determine that Mailer 2 led to significantly more customers signing up, then we may consider going forward with only sending out Mailer 2 to keep us ahead of the competition by appealing to newer folks. + diff --git a/img/posts/AB_test.jpg b/img/posts/AB_test.jpg new file mode 100644 index 0000000000000000000000000000000000000000..4a306b7fd1322a7c97e8b5d2cd1b114b53774638 GIT binary patch literal 108392 zcmeFY2UL?^v@aNn(h1UgRGLym1f&Q=P?|`WUZR3j>Czz)kRnw?KtKpcRZ65+3B8C& z2kE`Hgc1TNO#XM?y>HE|d28O>nLF#Pb?-;cVy*CfA7`Jl&)L8I+rM-9_i_oq^h85j z13*Sb2KYew0bI@k9swxG$^ZF~E=tnp3iXvMl$2L!si>|})6>$^)6vq=F)%VSF)&_Z zq@!bEXS&A1%Erb<59HuvXXRvOWn=y4C1ez&XDF}GT)9HS%0S1!`v3U4Yy(`QCjUX% zM?rQIKz@yk;u_gy7XSnRkX<45_MZ;_w~LIN)W@q-)HJkoq#J6P0OVv86y%f?|MZ%4 zcPQ!a0Lp7um~Tj_US%hps=X8YCcR`i91)j?S*`p5DIxU!!B=6O&Var)QQ|R@c@yHn+BS z&_~B7r%-1!b0n(EphBFP8n!85aKUvh3ds`|ozm0O%>m zNRvl#4FCoZjK9X-0{mC|uQB*9ANVgH_%9#$U&jZEbnmIM^b3@EeNA()dkfgnE}rTD 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zV^qx}GET@<-cGT>G}0!;o@7jc#+X6hfsBE7-N`oPUu$G2Noxxv+S3YoDW|}mjUcRS zW4m6dQ_I3s1tiK*cK6c43reqWXswQFW*=70qd0#x=b&4law`S({nCtKLf8z3bkLs$ z8e~q3x&-Pi`)4N2sv&<@Lr(!37>jd>s+e;0kG zV@#`lQ=C5E0;h~NYPG_>FZ7|!QPjexY8?|VhAljeZ*u5j_UsL474H{3{YG+y`;AzXpRJ=msUv;QXp-2dv@ zV{%MgnCnDU->wH*^7rUM9Zbv7Jg&gI#u4Vf=W^efavq7}<3U`+{<7fx^+(o)ll4FG zl+ZKrPMRTQkqLS-L)-ds}nMrWln^VSH8?1?~(+__(Bc>rr!S+bEfINl|#kOuT;|sy`kW)#2a=X&{X+4U(jB^fbp=fwzm4Qlu zjVXS$+cK$!6g);5**v0Y!!s%Yd1oN3?lkDU{SIk^6+tjf5x_r?u{B06#yyGedvu#^lOvwyuA_TtGzc+iJ0F`hsQ~_0+o@~lPGT6UK9sCtM)T}P z4cCFvx-Q>dHL3_f2Ta081yCDH;NwHFQ-EjtX(15uuSla(%!rA!8*-WYd7bSy8z`r< z!3I1F@Fl><4~7w1HTNPsSCgS3G=7wGB4@`e6M6WXlR( z|8k*ccxB~#S5QHtK5A91+b>EL_hgO1=3G&wd|Bw@Pc55$$Dvey^p3Fm65o!OC#qGdONv zcaEgN^*7(}B7;OfqosK{M{Lh-serQwf2`(z_FVhuVQZ4cE>lxaWP!Wsa0U>K-&>Bg z?`og$M5Y47xr9AxVKYVsq;wT%u%BG6z-cRPr$h(r95>Z3p0(Oe0TT2#13#`&RiPlo z#^~(+u Date: Mon, 6 Jul 2026 16:52:52 -0400 Subject: [PATCH 47/89] Minor updates on chi-square-test - checking in to see format of new text, code and cover image --- ...-15-Connect4.md => 2026-05-02-Connect4.md} | 0 ....md => 2026-05-15-Prime-Numbers-Finder.md} | 0 _posts/2026-06-12-chi-square-test.md | 56 ++++++++++++++++++- 3 files changed, 53 insertions(+), 3 deletions(-) rename _posts/{2026-05-15-Connect4.md => 2026-05-02-Connect4.md} (100%) rename _posts/{2026-05-02-Prime-Numbers-Finder.md => 2026-05-15-Prime-Numbers-Finder.md} (100%) diff --git a/_posts/2026-05-15-Connect4.md b/_posts/2026-05-02-Connect4.md similarity index 100% rename from _posts/2026-05-15-Connect4.md rename to _posts/2026-05-02-Connect4.md diff --git a/_posts/2026-05-02-Prime-Numbers-Finder.md b/_posts/2026-05-15-Prime-Numbers-Finder.md similarity index 100% rename from _posts/2026-05-02-Prime-Numbers-Finder.md rename to _posts/2026-05-15-Prime-Numbers-Finder.md diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index adcc90f00..3dc1288e5 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -1,7 +1,7 @@ --- layout: post title: Assessing Campaign Performance Using Chi-Square Test For Independence -image: "/posts/ab-testing.jpg" +image: "/posts/AB_testing.jpg" tags: [AB Testing, Hypothesis Testing, Chi-Square, Python] --- @@ -36,7 +36,6 @@ The third group was a control group. They did not receive any mailer. The client knows that customers who were contacted, signed up for the Delivery Club at a far higher rate than the control group, but are now curious as to if there is a significant difference in customer signup rate between the cheap mailer and the expensive mailer. This will allow them to make more informed decisions in the future, such as whether it is worth it to spend the money on fancier mailers or not. -

### Actions @@ -73,10 +72,12 @@ Measuring the response of each group provides us with information that can help A Hypothesis Test is +When performing a hypothesis test, the following must be defined: +
**The Null Hypothesis** - +The null hypothesis is a statistical assumption stating that there is no real relationship, effect, or difference between variables in a population
**The Alternate Hypothesis** @@ -102,12 +103,61 @@ ___
# Data Overview & Preparation +Our table of interest in the grocery client database is the *campaign_data* table. +This table contains each each unique customer_id, the type of mailer they received, if any, and whether or not the customer signed up for the Delivery Club membership. + +To determine whether the fancier Mailer 2 lead to a significant difference of people to sign up as opposed to the cheaper Mailer 1, we will first need to exclude the control group from the data by extracting the customers who got either mailer. + + +
+```python + +# import the required python libraries +import pandas as pd +from scipy.stats import chi2_contingency, chi2 + +# import campaign data +campaign_data = pd.read_excel(...) + +# filter out the control group +campaign_data = campaign_data.loc[campaign_data["mailer_type"] != "Control"] + +``` +
+Below is a 10 row sample of the imported campaign_data DataFrame: +
+
+ +| **customer_id** | **campaign_name** | **mailer_type** | **signup_flag** | +|---|---|---|---| +| 74 | delivery_club | Mailer1 | 1 | +| 524 | delivery_club | Mailer1 | 1 | +| 607 | delivery_club | Mailer2 | 1 | +| 343 | delivery_club | Mailer1 | 0 | +| 322 | delivery_club | Mailer2 | 1 | +| 115 | delivery_club | Mailer2 | 0 | +| 1 | delivery_club | Mailer2 | 1 | +| 120 | delivery_club | Mailer1 | 1 | +| 52 | delivery_club | Mailer1 | 1 | +| 405 | delivery_club | Mailer1 | 0 | +| 435 | delivery_club | Mailer2 | 0 | + +
+ +In the campaign_data DataFrame we have: + +* customer_id +* campaign name +* mailer_type (either Mailer1 or Mailer2) +* signup_flag (either 1 or 0) ___
# Applying Chi-Square Test For Independence + +
#### State Hypotheses & Acceptance Criteria For Test From f9c71d3a78e50bab8ad7a008500fedfd603165ec Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 6 Jul 2026 17:21:13 -0400 Subject: [PATCH 48/89] chi-square-test format updates --- _posts/2026-06-12-chi-square-test.md | 23 ++++++++--------------- img/posts/AB_test.jpg | Bin 108392 -> 0 bytes img/posts/AB_testing.jpg | Bin 44188 -> 40906 bytes 3 files changed, 8 insertions(+), 15 deletions(-) delete mode 100644 img/posts/AB_test.jpg diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 3dc1288e5..dd43a637c 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -57,7 +57,6 @@ Note: The *Z-Test For Proportions* is another viable test to run for measuring r ___ # Concept Overview -
#### A/B Testing @@ -70,23 +69,25 @@ Measuring the response of each group provides us with information that can help
#### Hypothesis Testing -A Hypothesis Test is +!!!!A Hypothesis Test is ... +reject or accept our null hypothesis... When performing a hypothesis test, the following must be defined:
**The Null Hypothesis** -The null hypothesis is a statistical assumption stating that there is no real relationship, effect, or difference between variables in a population +The Null Hypothesis is a statistical assumption stating that there is no real relationship, association, or difference between two outcomes or groups. We run a hypothesis test to either reject or accept the Null Hypothesis.
**The Alternate Hypothesis** - +The Alternate Hypothesis is what we are testing our Null Hypothesis against. It asserts that there is a measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis.
**The Acceptance Criteria** +This acceptance criteria is also our p-value threshold. We can
@@ -108,10 +109,8 @@ This table contains each each unique customer_id, the type of mailer they receiv To determine whether the fancier Mailer 2 lead to a significant difference of people to sign up as opposed to the cheaper Mailer 1, we will first need to exclude the control group from the data by extracting the customers who got either mailer. -
```python - # import the required python libraries import pandas as pd from scipy.stats import chi2_contingency, chi2 @@ -121,11 +120,9 @@ campaign_data = pd.read_excel(...) # filter out the control group campaign_data = campaign_data.loc[campaign_data["mailer_type"] != "Control"] - ```
-Below is a 10 row sample of the imported campaign_data DataFrame: -
+Below is a 10 row sample of the imported **campaign_data** DataFrame:
| **customer_id** | **campaign_name** | **mailer_type** | **signup_flag** | @@ -144,7 +141,7 @@ Below is a 10 row sample of the imported campaign_data DataFrame:
-In the campaign_data DataFrame we have: +In the **campaign_data** DataFrame we have the following columns: * customer_id * campaign name @@ -162,14 +159,10 @@ ___ #### State Hypotheses & Acceptance Criteria For Test - -``` -
#### Calculate Observed Frequencies & Expected Frequencies - ___
@@ -190,7 +183,7 @@ ___
# Discussion -``` + Because there is no significant difference between the signup rate of Mailer recipients, we could recommend that for the next promotion, the grocery store only send the cheap version of the mailers to customers. This can save the business money overall. If we did however, determine that Mailer 2 led to significantly more customers signing up, then we may consider going forward with only sending out Mailer 2 to keep us ahead of the competition by appealing to newer folks. diff --git a/img/posts/AB_test.jpg b/img/posts/AB_test.jpg deleted file mode 100644 index 4a306b7fd1322a7c97e8b5d2cd1b114b53774638..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 108392 zcmeFY2UL?^v@aNn(h1UgRGLym1f&Q=P?|`WUZR3j>Czz)kRnw?KtKpcRZ65+3B8C& z2kE`Hgc1TNO#XM?y>HE|d28O>nLF#Pb?-;cVy*CfA7`Jl&)L8I+rM-9_i_oq^h85j z13*Sb2KYew0bI@k9swxG$^ZF~E=tnp3iXvMl$2L!si>|})6>$^)6vq=F)%VSF)&_Z zq@!bEXS&A1%Erb<59HuvXXRvOWn=y4C1ez&XDF}GT)9HS%0S1!`v3U4Yy(`QCjUX% zM?rQIKz@yk;u_gy7XSnRkX<45_MZ;_w~LIN)W@q-)HJkoq#J6P0OVv86y%f?|MZ%4 zcPQ!a0Lp7um~Tj_US%hps=X8YCcR`i91)j?S*`p5DIxU!!B=6O&Var)QQ|R@c@yHn+BS z&_~B7r%-1!b0n(EphBFP8n!85aKUvh3ds`|ozm0O%>m zNRvl#4FCoZjK9X-0{mC|uQB*9ANVgH_%9#$U&jZEbnmIM^b3@EeNA()dkfgnE}rTD 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z!3I1F@Fl><4~7w1HTNPsSCgS3G=7wGB4@`e6M6WXlR( z|8k*ccxB~#S5QHtK5A91+b>EL_hgO1=3G&wd|Bw@Pc55$$Dvey^p3Fm65o!OC#qGdONv zcaEgN^*7(}B7;OfqosK{M{Lh-serQwf2`(z_FVhuVQZ4cE>lxaWP!Wsa0U>K-&>Bg z?`og$M5Y47xr9AxVKYVsq;wT%u%BG6z-cRPr$h(r95>Z3p0(Oe0TT2#13#`&RiPlo z#^~(+u Date: Mon, 6 Jul 2026 23:44:39 -0400 Subject: [PATCH 49/89] chi-square-test - Minor format updates --- _posts/2026-06-12-chi-square-test.md | 29 +++++++++++++++++----------- 1 file changed, 18 insertions(+), 11 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index dd43a637c..646edd513 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -69,26 +69,27 @@ Measuring the response of each group provides us with information that can help
#### Hypothesis Testing -!!!!A Hypothesis Test is ... +!!!!A Hypothesis Test is a statistical method used to evaluate the liklihood of a claim or assumption about a population parameter based on sample data. reject or accept our null hypothesis... -When performing a hypothesis test, the following must be defined: +When performing a hypothesis test, the following must always be defined:
**The Null Hypothesis** -The Null Hypothesis is a statistical assumption stating that there is no real relationship, association, or difference between two outcomes or groups. We run a hypothesis test to either reject or accept the Null Hypothesis. +The Null Hypothesis is a statistical assumption stating that there is no real relationship, association, or difference between two outcomes or groups. We run a hypothesis test to either reject or accept this Null Hypothesis.
**The Alternate Hypothesis** -The Alternate Hypothesis is what we are testing our Null Hypothesis against. It asserts that there is a measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. +The Alternate Hypothesis is essentially the opposite of the Null Hypothesis; it asserts that there is a measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. + +!!! Result not by chance
**The Acceptance Criteria** -This acceptance criteria is also our p-value threshold. We can - +This acceptance criteria is also our p-value threshold.
**Types Of Hypothesis Test** @@ -98,7 +99,6 @@ There are many types of hypothesis tests.
#### Chi-Square Test For Independence - ___
@@ -109,7 +109,6 @@ This table contains each each unique customer_id, the type of mailer they receiv To determine whether the fancier Mailer 2 lead to a significant difference of people to sign up as opposed to the cheaper Mailer 1, we will first need to exclude the control group from the data by extracting the customers who got either mailer. -
```python # import the required python libraries import pandas as pd @@ -139,8 +138,6 @@ Below is a 10 row sample of the imported **campaign_data** DataFrame: | 405 | delivery_club | Mailer1 | 0 | | 435 | delivery_club | Mailer2 | 0 | -
- In the **campaign_data** DataFrame we have the following columns: * customer_id @@ -158,6 +155,16 @@ ___
#### State Hypotheses & Acceptance Criteria For Test +To kick off our Hypothesis Test, we'll need to define our **Null Hypothesis**, our **Alternate Hypothesis**, and our **Acceptance Criteria**. (See more in the *Concept Overview* section above) + +For our Acceptance Criteria, we'll be using the commonly used value of 0.05 (or 5%). + +```python +# specify hypotheses & acceptance criteria for test +null_hypothesis = "There is no relationship between mailer type and signup rate. They are independent" +alternate_hypothesis = "There is a relationship between mailer type and signup rate. They are not independent" +acceptance_criteria = 0.05 +```
#### Calculate Observed Frequencies & Expected Frequencies @@ -166,7 +173,7 @@ ___ ___
-# Analysing The Results +# Analyzing The Results From 93c20af569a552ac537f2e2fd1ff121900a3d12b Mon Sep 17 00:00:00 2001 From: golden-hail Date: Tue, 7 Jul 2026 12:32:33 -0400 Subject: [PATCH 50/89] Minor Updates to formatting - Expanded on some sections --- _posts/2026-06-12-chi-square-test.md | 49 +++++++++++++++++++++++---- img/posts/chi2_test.jpg | Bin 0 -> 54463 bytes 2 files changed, 43 insertions(+), 6 deletions(-) create mode 100644 img/posts/chi2_test.jpg diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 646edd513..7aee66484 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -5,7 +5,7 @@ image: "/posts/AB_testing.jpg" tags: [AB Testing, Hypothesis Testing, Chi-Square, Python] --- -!!!In this project, we'll be running an A/B test on grocery retailer campaign data to determine whether the quality of the promotion mailers sent to customers for a membership had an impact on whether the customer signed up or not. +In this project, we'll be running an A/B test on grocery retailer campaign data to determine if the quality of promotion mail sent to customers significantly impacted who signed up for a promoted membership. We will do this through applying the Chi-Square Test For Independence to measure the significance of the difference in signups between 2 groups. @@ -30,12 +30,13 @@ ___ In late June, our client, a grocery retailer, ran a campaign to promote their new "Delivery Club" membership. Signing up for the club costs $100 and gives customers free grocery deliveries for one year, starting June 1st. For the campaign promoting the club, customers were put randomly into three groups: -The first group received a cheap, low quality mailer, Mailer 1. -The second group received a colorful, high quality, high cost mailer, Mailer 2. -The third group was a control group. They did not receive any mailer. +* The first group received a cheap, low quality mailer, Mailer 1. +* The second group received a colorful, high quality, high cost mailer, Mailer 2. +* The third group was a control group. They did not receive any mailer. -The client knows that customers who were contacted, signed up for the Delivery Club at a far higher rate than the control group, but are now curious as to if there is a significant difference in customer signup rate between the cheap mailer and the expensive mailer. This will allow them to make more informed decisions in the future, such as whether it is worth it to spend the money on fancier mailers or not. +The client knows that customers who were contacted, signed up for the Delivery Club at a far higher rate than the control group, but are now curious as to if there is a significant difference in customer signup rate between the cheap mailer and the expensive mailer. This will allow them to make more informed decisions in the future, such as whether it is worth it to spend the money on fancier mailers or not. +

### Actions @@ -99,6 +100,28 @@ There are many types of hypothesis tests.
#### Chi-Square Test For Independence +The **Chi-Square Test For Independence** is a hypothesis test used to determine whether a significant association exists between two categorical variables. It compares the *observed frequencies* from the actual data points collected from a sample against the *expected frequencies*, the rates expected to be seen if the two variables were truly independent. + +The *Null Hypothesis* described above is our baseline assumption. It states that there is no relationship between the two variables, meaning the observed frequencies will perfectly match the expected frequencies. + + +!!!! mention small differences due to random chance we account for + +---- + + +The *assumption* is the Null Hypothesis, which as discussed above is always the viewpoint that the two groups will be equal. With the Chi-Square Test For Independence we look to calculate a statistic which, based on the specified Acceptance Criteria will mean we either reject or support this initial assumption. + +The *observed frequencies* are the true values that we’ve seen. + +The *expected frequencies* are essentially what we would *expect* to see based on all of the data. + +**Note:** Another option when comparing "rates" is a test known as the *Z-Test For Proportions*. While, we could absolutely use this test here, we have chosen the Chi-Square Test For Independence because: + +* The resulting test statistic for both tests will be the same +* The Chi-Square Test can be represented using 2x2 tables of data - meaning it can be easier to explain to stakeholders +* The Chi-Square Test can extend out to more than 2 groups - meaning the business can have one consistent approach to measuring signficance + ___
@@ -155,7 +178,7 @@ ___
#### State Hypotheses & Acceptance Criteria For Test -To kick off our Hypothesis Test, we'll need to define our **Null Hypothesis**, our **Alternate Hypothesis**, and our **Acceptance Criteria**. (See more in the *Concept Overview* section above) +To kick off our Hypothesis Test, we'll need to define our **Null Hypothesis**, our **Alternate Hypothesis**, and our **Acceptance Criteria**. (See more on these terms in the *Concept Overview* section above) For our Acceptance Criteria, we'll be using the commonly used value of 0.05 (or 5%). @@ -169,6 +192,18 @@ acceptance_criteria = 0.05
#### Calculate Observed Frequencies & Expected Frequencies +As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. In this case, our observed frequencies come directly from our campaign_data imported above. + +!!!! For our *expected frequencies*, we will be calculating + +!!!! Explain it.. maybe insert picture. Categorical variables Mailer1 and Mailer2. (See more on these terms in the) + +Now, we'll create our 2x2 matrix needed for the Chi-Square approach, using a method called **crosstab()**. + +Our observed values come directly from our campaign_data imported above. We are analyzing the impact Mailer type had on member sign up rates, so we'll want to pass these values into our method. + +Need to pass in an array to Chi-Squares contingincy function, use .values property for observed_values + ___ @@ -195,3 +230,5 @@ Because there is no significant difference between the signup rate of Mailer rec If we did however, determine that Mailer 2 led to significantly more customers signing up, then we may consider going forward with only sending out Mailer 2 to keep us ahead of the competition by appealing to newer folks. +ROI in campaign by saving money on mailers, if expanding to other stores in a chain or a wider audiance after the pilot + diff --git a/img/posts/chi2_test.jpg b/img/posts/chi2_test.jpg new file mode 100644 index 0000000000000000000000000000000000000000..23e35663141e8fb6dafa2b5ae3ca79284b6c48d0 GIT binary patch literal 54463 zcmcG$2{@Gh-!^>Ncd~CWvZS(=U4}`1wq$FuXB4uuw(;pXAt;}<%@$1ljw!*fLJ 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zudzkF(DZ});-}$7u~Q#*5_4!EBY?r_o{hBK6^B0Dq|M18682b8y>?zqsSrdr*F;z9{bSP#t01qyQB>k-CkPtEV}Y zi-I9QuAX&;!WbiTy`4e)P@rzUo$mvMT7ZH&KTyCB|AB=S0E6Ss%=qlgX#UXB)Q26A zJlbA= z=L6#3V`c|>+rz@%Ju8Q96zm#T2|2&3JBv|kV4f+|)w}wRL*-=8$bMHs?!k*IB(3vK zE57#`b`tAYdxMt^09M36Ed7*;Fb4p}h=GN6Qswa5N@Cwz->ya`ECu_@gBuW_{s?Mt zWYNLh3OMq}6NG=D6|RkXoLeza?M=>`NwzVYZ39NTEa>p$0~iLf;bcE%q7{4^d6L8u z;Er!K%YTTDXV7aTV4<}@?a(DsI>6rZ?c=kSV9clcZXiSB3ldWX)s{P^^G7m&#_396!S2XN1 zlFLr*xk!kM>`)gkx|N_Lpjf#h%Qi81>I7FS_|KK&pLl42I`wm6>;DD+ Date: Tue, 7 Jul 2026 14:51:51 -0400 Subject: [PATCH 51/89] Minor formating changes on chi-squared-test --- _posts/2026-06-12-chi-square-test.md | 43 ++++++++++++---------------- 1 file changed, 18 insertions(+), 25 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 7aee66484..a68d9a5bc 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -29,16 +29,13 @@ ___ In late June, our client, a grocery retailer, ran a campaign to promote their new "Delivery Club" membership. Signing up for the club costs $100 and gives customers free grocery deliveries for one year, starting June 1st. -For the campaign promoting the club, customers were put randomly into three groups: +For the campaign promoting the club, customers were put randomly into three groups: * The first group received a cheap, low quality mailer, Mailer 1. * The second group received a colorful, high quality, high cost mailer, Mailer 2. * The third group was a control group. They did not receive any mailer. The client knows that customers who were contacted, signed up for the Delivery Club at a far higher rate than the control group, but are now curious as to if there is a significant difference in customer signup rate between the cheap mailer and the expensive mailer. This will allow them to make more informed decisions in the future, such as whether it is worth it to spend the money on fancier mailers or not. -
-
- ### Actions
!!!! @@ -59,38 +56,39 @@ ___ # Concept Overview
-#### A/B Testing +### A/B Testing -An A/B test takes two randomized groups, A and B, and provides them with different experiences. Both groups get their own version of an experience. +An A/B test takes two randomized groups, A and B, and provides them with different experiences. In the A/B test, we measure the response of each group to understand the impact each experience had on the response. These insights can help drive business decisions in the future. -For example, a company may post 2 different pictures advertising the same product. With an A/B test, we could look to measure whether either ad picture significantly impacted the amount of user clicks. - -Measuring the response of each group provides us with information that can help drive future business decisions. +For example, a company may post 2 different pictures advertising the same product on their website. With an A/B test, we could look to measure if the picture used in the ad significantly impacted the amount of users who clicked on the ad. If one ad yielded significantly more clicks, the business can use this data when thinking about what characteristics got the user to click and incorporate those features into future ads.
-#### Hypothesis Testing +### Hypothesis Testing + +A Hypothesis Test is a statistical method used to evaluate the likelihood of an assumption on a population, using sample data. It determines whether an observed pattern or correlation in the data is due to a true relationship or due to random chance. -!!!!A Hypothesis Test is a statistical method used to evaluate the liklihood of a claim or assumption about a population parameter based on sample data. -reject or accept our null hypothesis... +There are multiple types of Hypothesis Tests as well as many scenarios we can run them on. -When performing a hypothesis test, the following must always be defined: +When performing any Hypothesis Test, the following must always be defined:
**The Null Hypothesis** -The Null Hypothesis is a statistical assumption stating that there is no real relationship, association, or difference between two outcomes or groups. We run a hypothesis test to either reject or accept this Null Hypothesis. +The Null Hypothesis is a statistical assumption stating that there is no statistically significant relationship, association, or difference between two outcomes or groups. We run a Hypothesis Test to either reject or accept this Null Hypothesis.
**The Alternate Hypothesis** -The Alternate Hypothesis is essentially the opposite of the Null Hypothesis; it asserts that there is a measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. +The Alternate Hypothesis suggests that there is a measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. When rejecting the Null Hypothesis, we are accepting the Alternate Hypothesis. -!!! Result not by chance +!!! Confident result is not by chance?
**The Acceptance Criteria** -This acceptance criteria is also our p-value threshold. +The acceptance criteria is the specified p-value defined at the is also our p-value threshold. Or rejection criteria?? + +a p-value is
**Types Of Hypothesis Test** @@ -102,20 +100,15 @@ There are many types of hypothesis tests. The **Chi-Square Test For Independence** is a hypothesis test used to determine whether a significant association exists between two categorical variables. It compares the *observed frequencies* from the actual data points collected from a sample against the *expected frequencies*, the rates expected to be seen if the two variables were truly independent. -The *Null Hypothesis* described above is our baseline assumption. It states that there is no relationship between the two variables, meaning the observed frequencies will perfectly match the expected frequencies. - +The *Null Hypothesis* described above is our baseline assumption. It assumes that there is no relationship or difference between the two variables. It asserts that the observed frequencies will match the expected frequencies, with any correlation or minor difference is the result of random chance. -!!!! mention small differences due to random chance we account for +The *Alternate Hypothesis* ---- The *assumption* is the Null Hypothesis, which as discussed above is always the viewpoint that the two groups will be equal. With the Chi-Square Test For Independence we look to calculate a statistic which, based on the specified Acceptance Criteria will mean we either reject or support this initial assumption. -The *observed frequencies* are the true values that we’ve seen. - -The *expected frequencies* are essentially what we would *expect* to see based on all of the data. - **Note:** Another option when comparing "rates" is a test known as the *Z-Test For Proportions*. While, we could absolutely use this test here, we have chosen the Chi-Square Test For Independence because: * The resulting test statistic for both tests will be the same @@ -194,7 +187,7 @@ acceptance_criteria = 0.05 As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. In this case, our observed frequencies come directly from our campaign_data imported above. -!!!! For our *expected frequencies*, we will be calculating +!!!! For our *expected frequencies*, we will be calculating infered population parameters !!!! Explain it.. maybe insert picture. Categorical variables Mailer1 and Mailer2. (See more on these terms in the) From dce39db79354fc618d1058cc635def8f766257ac Mon Sep 17 00:00:00 2001 From: golden-hail Date: Tue, 7 Jul 2026 14:58:24 -0400 Subject: [PATCH 52/89] chi-square-test: more formatting gitpages --- _posts/2026-06-12-chi-square-test.md | 12 ++++-------- 1 file changed, 4 insertions(+), 8 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index a68d9a5bc..c342c19b8 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -71,15 +71,13 @@ There are multiple types of Hypothesis Tests as well as many scenarios we can ru When performing any Hypothesis Test, the following must always be defined: -
-**The Null Hypothesis** +* **The Null Hypothesis** -The Null Hypothesis is a statistical assumption stating that there is no statistically significant relationship, association, or difference between two outcomes or groups. We run a Hypothesis Test to either reject or accept this Null Hypothesis. +The Null Hypothesis is a statistical assumption stating that there is no statistically significant relationship, association, or difference between two outcomes or groups. We run a Hypothesis Test to either reject or accept (!!! or fail to reject?) this Null Hypothesis. -
-**The Alternate Hypothesis** +* **The Alternate Hypothesis** -The Alternate Hypothesis suggests that there is a measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. When rejecting the Null Hypothesis, we are accepting the Alternate Hypothesis. +The Alternate Hypothesis suggests that there is a significant and measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. When rejecting the Null Hypothesis, we are accepting the Alternate Hypothesis. !!! Confident result is not by chance? @@ -167,8 +165,6 @@ ___ # Applying Chi-Square Test For Independence - -
#### State Hypotheses & Acceptance Criteria For Test To kick off our Hypothesis Test, we'll need to define our **Null Hypothesis**, our **Alternate Hypothesis**, and our **Acceptance Criteria**. (See more on these terms in the *Concept Overview* section above) From 73ef012505785ecfa0cb07092427d2bf2cac9afc Mon Sep 17 00:00:00 2001 From: golden-hail Date: Tue, 7 Jul 2026 19:21:59 -0400 Subject: [PATCH 53/89] 2026-06-12-chi-square-test content update --- _posts/2026-06-12-chi-square-test.md | 108 +++++++++++++++++++-------- img/posts/observed_data.jpg | Bin 0 -> 6245 bytes 2 files changed, 77 insertions(+), 31 deletions(-) create mode 100644 img/posts/observed_data.jpg diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index c342c19b8..d31e27d55 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -73,46 +73,39 @@ When performing any Hypothesis Test, the following must always be defined: * **The Null Hypothesis** -The Null Hypothesis is a statistical assumption stating that there is no statistically significant relationship, association, or difference between two outcomes or groups. We run a Hypothesis Test to either reject or accept (!!! or fail to reject?) this Null Hypothesis. + The "Null Hypothesis" is a statistical assumption stating that there is no statistically significant relationship, association, or difference between two outcomes or groups. We run a Hypothesis Test to either reject or support this Null Hypothesis. * **The Alternate Hypothesis** -The Alternate Hypothesis suggests that there is a significant and measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. When rejecting the Null Hypothesis, we are accepting the Alternate Hypothesis. + The "Alternate Hypothesis" suggests that there is a significant and measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. When we reject the Null Hypothesis, we accept the Alternate Hypothesis, concluding that the observed relationship is highly unlikely to have occurred by chance alone. -!!! Confident result is not by chance? +* **The Acceptance Criteria** -
-**The Acceptance Criteria** + To statistically determine whether to reject the null hypothesis in favor of the alternate, an "Acceptance Criteria" must be specified. The acceptance criteria, also known the Significance Level, is a specified p-value threshold in which we are measuring our Null Hypothesis against. In other words, the set threshold draws a line -The acceptance criteria is the specified p-value defined at the is also our p-value threshold. Or rejection criteria?? + A *p-value*, or probability value, is a value 0-1 that is used to determine if !!! It is a common practice to set the acceptance criteria to 0.05 or 5%. -a p-value is + * Low p-value (≤ 0.05): This suggests your results are highly unlikely to have occurred by chance. You have strong evidence to reject the null hypothesis. -
-**Types Of Hypothesis Test** - -There are many types of hypothesis tests. + * High p-value (> 0.05): This means your results could easily happen under random variation. You fail to reject the null hypothesis, meaning there isn't enough evidence to prove a true effect exists
-#### Chi-Square Test For Independence - -The **Chi-Square Test For Independence** is a hypothesis test used to determine whether a significant association exists between two categorical variables. It compares the *observed frequencies* from the actual data points collected from a sample against the *expected frequencies*, the rates expected to be seen if the two variables were truly independent. - -The *Null Hypothesis* described above is our baseline assumption. It assumes that there is no relationship or difference between the two variables. It asserts that the observed frequencies will match the expected frequencies, with any correlation or minor difference is the result of random chance. +**Types Of Hypothesis Test** -The *Alternate Hypothesis* +There are many types of hypothesis tests. Choosing the right Hypothesis Test depends entirely on the objective is as well as what the data types the variables of interest are. Since we are interested in comparing the sign-up *rates* between two groups, the Chi-Square Test for Independence was chosen for the analysis in this report. ----- +Another viable choice for an approach comparing *rates* would be *Z-Test For Proportions*, which would provide us with the same statistical result as the Chi-Square Test would. +The Chi-Square Test was chosen for this analysis as it can be represented using a 2x2 data matrix, making the data easier to visualize and explain to stakeholders. Additionally, if the company ever had interest in expanding this campaign to more than two groups, we could easily adapt the Chi-Squared approach to include new group data, providing the business with a consistent way to measure variable significance. -The *assumption* is the Null Hypothesis, which as discussed above is always the viewpoint that the two groups will be equal. With the Chi-Square Test For Independence we look to calculate a statistic which, based on the specified Acceptance Criteria will mean we either reject or support this initial assumption. +
+#### Chi-Square Test For Independence -**Note:** Another option when comparing "rates" is a test known as the *Z-Test For Proportions*. While, we could absolutely use this test here, we have chosen the Chi-Square Test For Independence because: +The **Chi-Square Test For Independence** is a hypothesis test used to determine whether a significant association exists between two categorical variables. It compares the *observed frequencies* from the actual data points collected from a sample against the *expected frequencies*, the data expected to be seen if the two variables were truly independent. -* The resulting test statistic for both tests will be the same -* The Chi-Square Test can be represented using 2x2 tables of data - meaning it can be easier to explain to stakeholders -* The Chi-Square Test can extend out to more than 2 groups - meaning the business can have one consistent approach to measuring signficance +The *Null Hypothesis* described above is our baseline assumption. It assumes that there is no relationship or difference between the two variables. It asserts that the observed frequencies of data will match the expected frequencies, with any correlation or minor difference being the result of random chance. +!!! TO BE CONTINUED ___
@@ -173,26 +166,79 @@ For our Acceptance Criteria, we'll be using the commonly used value of 0.05 (or ```python # specify hypotheses & acceptance criteria for test -null_hypothesis = "There is no relationship between mailer type and signup rate. They are independent" -alternate_hypothesis = "There is a relationship between mailer type and signup rate. They are not independent" +null_hypothesis = "There is no relationship between mailer type and signup rate. They are independent" +alternate_hypothesis = "There is a relationship between mailer type and signup rate. They are not independent" acceptance_criteria = 0.05 ```
#### Calculate Observed Frequencies & Expected Frequencies -As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. In this case, our observed frequencies come directly from our campaign_data imported above. - -!!!! For our *expected frequencies*, we will be calculating infered population parameters +As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. In this case, our observed frequencies come directly from our campaign_data imported above. -!!!! Explain it.. maybe insert picture. Categorical variables Mailer1 and Mailer2. (See more on these terms in the) +!!!! For our *expected frequencies*, we will be calculating infered population parameters based on all the data combined if the variables being measured were truly independent from one another. Now, we'll create our 2x2 matrix needed for the Chi-Square approach, using a method called **crosstab()**. -Our observed values come directly from our campaign_data imported above. We are analyzing the impact Mailer type had on member sign up rates, so we'll want to pass these values into our method. +Our observed values come directly from our campaign_data imported above. We are analyzing the impact mailer type had on member sign-up rates, so we'll want to pass these values into our method. + +?!!! insert picture of chisquare test of independence ?? + +```python +observed_vals = pd.crosstab(campaign_data['mailer_type'],campaign_data['signup_flag']) + +print(observed_vals) +>>> signup_flag 0 1 +>>> mailer_type +>>> Mailer1 252 123 +>>> Mailer2 209 127 +``` + +By running the crosstab method, we see: +* For customers who received Mailer 1, + * 252 customers did not sign up for the promotion + * 123 customers signed up for the promotion. +* For customers who received Mailer 2, + * 209 customers did not sign up for the promotion + * 127 customers signed up for the promotion -Need to pass in an array to Chi-Squares contingincy function, use .values property for observed_values +Since the Chi-Squared contingency function won't accept the observed_vals dataframe in the code above, we'll have to turn this data into an array by using *.values* property for observed_values. +```python +observed_values = pd.crosstab(campaign_data['mailer_type'],campaign_data['signup_flag']).values +print(observed_values) +>>> array([[252, 123], + [209, 127]]) +``` + +Now that the observed_values are of the appropriate type, we can plug this array into our Chi-Squared contingency function: + +```python +# run the chi-square test +chi2_statistic, p_value, dof, expected_values = chi2_contingency(observed_values, correction = False) + +print(chi2_statistic) +>> 1.94 + +print(p_value) +>> 0.16 + +# find the critical value for our test +critical_value = chi2.ppf(1 - acceptance_criteria, dof) + +print(critical_value) +>> 3.84 +``` + +!!! (move this section above frequencies since it doesn't take into account chance?) Let's do an elementary check - The signup rate of the observed values from the campaign is below. 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For my first post, I'll be walking through a Python function I wrote that returns a list of all prime numbers that are below a specified input number, **n**. For example, if we passed in a value n=10, this function would return a list of all prime numbers below the specified number 10! +Hello! In this post, I'll be walking through a Python function I wrote that returns a list of all prime numbers that are below a specified input number, **n**. For example, if we passed in a value n=10, this function would return a list of all prime numbers below the specified number 10! For reference, a prime number is an integer that can only be divided wholly by itself and 1. In our example of n=10, we would expect an output as follows: ```python diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index d31e27d55..539cfa9b0 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -171,7 +171,6 @@ alternate_hypothesis = "There is a relationship between mailer type and signup r acceptance_criteria = 0.05 ``` -
#### Calculate Observed Frequencies & Expected Frequencies As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. In this case, our observed frequencies come directly from our campaign_data imported above. @@ -194,7 +193,7 @@ print(observed_vals) >>> Mailer2 209 127 ``` -By running the crosstab method, we see: +By running the crosstab method, we see: * For customers who received Mailer 1, * 252 customers did not sign up for the promotion * 123 customers signed up for the promotion. @@ -230,14 +229,13 @@ print(critical_value) >> 3.84 ``` -!!! (move this section above frequencies since it doesn't take into account chance?) Let's do an elementary check - The signup rate of the observed values from the campaign is below. From the campaign data alone, observed, it does seem as though the fancy higher cost mailer yielded a higher signup rate at ___ %. +!!! (move this section above frequencies since it doesn't take into account chance?) Let's do an elementary check - The signup rate of the observed values from the campaign is below. From the campaign data alone, at a first glance, it does seem as though the fancy higher cost mailer yielded a higher signup rate at ___ %. How do we account for this chance? what if they were going to signup anyway? ```python mailer1_signup_rate = 123 / (252 + 123) * 100 mailer2_signup_rate = 127 / (209 + 127) * 100 print() - ``` ___ @@ -249,9 +247,6 @@ ___ ```python -# print the results (based upon p-value) - - ```
As we can see from the outputs of these print statements, we do indeed retain the null hypothesis. We could not find enough evidence that the signup rates for Mailer 1 and Mailer 2 were different - and thus conclude that there was no significant difference. From 28ab3795c1881d7f22d761a40725787cc3fea76b Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 8 Jul 2026 09:34:39 -0400 Subject: [PATCH 55/89] chi-square-test formatting git pages --- _posts/2026-06-12-chi-square-test.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 539cfa9b0..f836c1f14 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -7,7 +7,7 @@ tags: [AB Testing, Hypothesis Testing, Chi-Square, Python] In this project, we'll be running an A/B test on grocery retailer campaign data to determine if the quality of promotion mail sent to customers significantly impacted who signed up for a promoted membership. -We will do this through applying the Chi-Square Test For Independence to measure the significance of the difference in signups between 2 groups. +We will do this through applying the Chi-Square Test For Independence to measure the significance of the difference in signups between 2 groups of customers. # Table of contents @@ -81,13 +81,13 @@ When performing any Hypothesis Test, the following must always be defined: * **The Acceptance Criteria** - To statistically determine whether to reject the null hypothesis in favor of the alternate, an "Acceptance Criteria" must be specified. The acceptance criteria, also known the Significance Level, is a specified p-value threshold in which we are measuring our Null Hypothesis against. In other words, the set threshold draws a line + To statistically determine whether to reject the null hypothesis in favor of the alternate, an "Acceptance Criteria" must be specified. The acceptance criteria, also known the Significance Level, is a specified p-value threshold in which we are measuring our Null Hypothesis against. In other words, the set threshold draws a line between what we consider random chance and what we consider a statistically significant result. - A *p-value*, or probability value, is a value 0-1 that is used to determine if !!! It is a common practice to set the acceptance criteria to 0.05 or 5%. + A *p-value*, or probability value, is a calculated value used to determine if the data is extreme enough to reject the null hypothesis. It is a common practice to set the acceptance criteria to 0.05 or 5%. - * Low p-value (≤ 0.05): This suggests your results are highly unlikely to have occurred by chance. You have strong evidence to reject the null hypothesis. + * A *low p-value* (≤ 0.05) suggests your results are highly unlikely to have occurred by chance. There is strong evidence to reject the null hypothesis. - * High p-value (> 0.05): This means your results could easily happen under random variation. You fail to reject the null hypothesis, meaning there isn't enough evidence to prove a true effect exists + * A *High p-value* (> 0.05) means your results could easily happen under random variation. We would fail to reject the null hypothesis, meaning there isn't enough evidence to prove a true effect exists
**Types Of Hypothesis Test** From 1d02c102844eb1448169acfc727150c7978869fe Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 8 Jul 2026 10:26:57 -0400 Subject: [PATCH 56/89] chi-square-test formatting git pages --- _posts/2026-06-12-chi-square-test.md | 58 +++++++++++++--------------- 1 file changed, 27 insertions(+), 31 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index f836c1f14..1b627db8a 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -39,8 +39,11 @@ The client knows that customers who were contacted, signed up for the Delivery C ### Actions !!!! +The Chi-Square Test For Independence will be applied to compare the signup rates of two distinct groups, Mailer1 and Mailer2. !!! See definition below. -Note: The *Z-Test For Proportions* is another viable test to run for measuring rates. +Note: Another viable choice for an approach comparing *rates* would be *Z-Test For Proportions*, which would provide us with the same statistical result as the Chi-Square Test would. + +The Chi-Square Test was chosen for this analysis as it can be represented using a 2x2 data matrix, making the data easier to visualize and explain to stakeholders. Additionally, if the company ever had interest in expanding this campaign to more than two groups, we could easily adapt the Chi-Squared approach to include new group data, providing the business with a consistent way to measure variable significance.

@@ -89,15 +92,6 @@ When performing any Hypothesis Test, the following must always be defined: * A *High p-value* (> 0.05) means your results could easily happen under random variation. We would fail to reject the null hypothesis, meaning there isn't enough evidence to prove a true effect exists -
-**Types Of Hypothesis Test** - -There are many types of hypothesis tests. Choosing the right Hypothesis Test depends entirely on the objective is as well as what the data types the variables of interest are. Since we are interested in comparing the sign-up *rates* between two groups, the Chi-Square Test for Independence was chosen for the analysis in this report. - -Another viable choice for an approach comparing *rates* would be *Z-Test For Proportions*, which would provide us with the same statistical result as the Chi-Square Test would. - -The Chi-Square Test was chosen for this analysis as it can be represented using a 2x2 data matrix, making the data easier to visualize and explain to stakeholders. Additionally, if the company ever had interest in expanding this campaign to more than two groups, we could easily adapt the Chi-Squared approach to include new group data, providing the business with a consistent way to measure variable significance. -
#### Chi-Square Test For Independence @@ -170,19 +164,14 @@ null_hypothesis = "There is no relationship between mailer type and signup rate. alternate_hypothesis = "There is a relationship between mailer type and signup rate. They are not independent" acceptance_criteria = 0.05 ``` - +
#### Calculate Observed Frequencies & Expected Frequencies -As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. In this case, our observed frequencies come directly from our campaign_data imported above. - -!!!! For our *expected frequencies*, we will be calculating infered population parameters based on all the data combined if the variables being measured were truly independent from one another. - -Now, we'll create our 2x2 matrix needed for the Chi-Square approach, using a method called **crosstab()**. +As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. To get these frequencies, we'll create our 2x2 matrix needed for the Chi-Square approach, using a method called **crosstab()**. -Our observed values come directly from our campaign_data imported above. We are analyzing the impact mailer type had on member sign-up rates, so we'll want to pass these values into our method. +Our observed values come directly from our campaign_data imported above. We are analyzing the impact that mailer_type had on member sign-up rates, so we'll want to pass these data points into the crosstab method. ?!!! insert picture of chisquare test of independence ?? - ```python observed_vals = pd.crosstab(campaign_data['mailer_type'],campaign_data['signup_flag']) @@ -201,7 +190,7 @@ By running the crosstab method, we see: * 209 customers did not sign up for the promotion * 127 customers signed up for the promotion -Since the Chi-Squared contingency function won't accept the observed_vals dataframe in the code above, we'll have to turn this data into an array by using *.values* property for observed_values. +The Chi-Squared contingency function won't accept the observed_vals dataframe in the code above, we'll have to turn this data into an array by using *.values* property for observed_values. ```python observed_values = pd.crosstab(campaign_data['mailer_type'],campaign_data['signup_flag']).values @@ -210,7 +199,13 @@ print(observed_values) [209, 127]]) ``` -Now that the observed_values are of the appropriate type, we can plug this array into our Chi-Squared contingency function: +Now that the observed_values are of the appropriate type, we can move towards running our chi2_contingency function that we imported with scipy. + +Running the Chi-Squared function will provide us with the following: +* Expected values +* P-values +* Critical value +* chi2_statistic ```python # run the chi-square test @@ -228,33 +223,34 @@ critical_value = chi2.ppf(1 - acceptance_criteria, dof) print(critical_value) >> 3.84 ``` +___ -!!! (move this section above frequencies since it doesn't take into account chance?) Let's do an elementary check - The signup rate of the observed values from the campaign is below. From the campaign data alone, at a first glance, it does seem as though the fancy higher cost mailer yielded a higher signup rate at ___ %. How do we account for this chance? what if they were going to signup anyway? +
+# Analyzing The Results ```python -mailer1_signup_rate = 123 / (252 + 123) * 100 -mailer2_signup_rate = 127 / (209 + 127) * 100 -print() ``` +
+As we can see from the outputs of these print statements, we do indeed retain the null hypothesis. We could not find enough evidence that the signup rates for Mailer 1 and Mailer 2 were different - and thus conclude that there was no significant difference. ___
-# Analyzing The Results +# Discussion +When analyzing the observed signup rates of the two mailer groups alone without consideration of random chance effecting values, it does appear that the customers who received fancy Mailer 2 signed up at a higher rate than the customers who received the cheap Mailer 1. +From the campaign data alone, at a first glance, it does seem as though the fancy higher cost mailer yielded a higher signup rate at ___ %. How do we account for this chance? what if they were going to signup anyway? ```python +mailer1_signup_rate = 123 / (252 + 123) * 100 +mailer2_signup_rate = 127 / (209 + 127) * 100 +print(mailer1_signup_rate, mailer2_signup_rate) ``` -
-As we can see from the outputs of these print statements, we do indeed retain the null hypothesis. We could not find enough evidence that the signup rates for Mailer 1 and Mailer 2 were different - and thus conclude that there was no significant difference. -___ - -
-# Discussion +With a p-value, critical value of ___, we see Because there is no significant difference between the signup rate of Mailer recipients, we could recommend that for the next promotion, the grocery store only send the cheap version of the mailers to customers. This can save the business money overall. From 60c3cab3fabea40c39d36c4af18cf35c3cc0d5c0 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 8 Jul 2026 11:21:26 -0400 Subject: [PATCH 57/89] chi-square-test formatting git pages --- _posts/2026-06-12-chi-square-test.md | 19 +++++++++++-------- 1 file changed, 11 insertions(+), 8 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 1b627db8a..848c1708a 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -171,7 +171,7 @@ As detailed in the *Concept Overview* section above, our **observed frequencies* Our observed values come directly from our campaign_data imported above. We are analyzing the impact that mailer_type had on member sign-up rates, so we'll want to pass these data points into the crosstab method. -?!!! insert picture of chisquare test of independence ?? +We can visualize this data in the `DataFrame` below: ```python observed_vals = pd.crosstab(campaign_data['mailer_type'],campaign_data['signup_flag']) @@ -182,7 +182,7 @@ print(observed_vals) >>> Mailer2 209 127 ``` -By running the crosstab method, we see: +By running the `crosstab` method, we see: * For customers who received Mailer 1, * 252 customers did not sign up for the promotion * 123 customers signed up for the promotion. @@ -190,7 +190,7 @@ By running the crosstab method, we see: * 209 customers did not sign up for the promotion * 127 customers signed up for the promotion -The Chi-Squared contingency function won't accept the observed_vals dataframe in the code above, we'll have to turn this data into an array by using *.values* property for observed_values. +Since Chi-Squared contingency function won't accept dataframes, we'll have to turn this data into an array by using *.values* property for observed_values. ```python observed_values = pd.crosstab(campaign_data['mailer_type'],campaign_data['signup_flag']).values @@ -199,13 +199,13 @@ print(observed_values) [209, 127]]) ``` -Now that the observed_values are of the appropriate type, we can move towards running our chi2_contingency function that we imported with scipy. +Now that the observed_values are in an array, we can pass the observed_values into our `chi2_contingency` function that we imported with scipy. Running the Chi-Squared function will provide us with the following: -* Expected values -* P-values -* Critical value -* chi2_statistic +* **Expected values** +* **P-values** +* **Degrees of Freedom (dof)**: used for finding the critical value later +* **chi2_statistic** ```python # run the chi-square test @@ -216,7 +216,10 @@ print(chi2_statistic) print(p_value) >> 0.16 +``` +We will then run our acceptance criteria along with our calculated dof to find the critical value for our test !!! which will be used for = +```python # find the critical value for our test critical_value = chi2.ppf(1 - acceptance_criteria, dof) From ab4baf7de94f74236fe8775a7c9e2ac14a659adf Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 8 Jul 2026 12:47:39 -0400 Subject: [PATCH 58/89] updates to chi-square-test --- _posts/2026-06-12-chi-square-test.md | 53 ++++++++++++++++++++++------ 1 file changed, 43 insertions(+), 10 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 848c1708a..1bb965bb3 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -38,12 +38,24 @@ The client knows that customers who were contacted, signed up for the Delivery C ### Actions -!!!! -The Chi-Square Test For Independence will be applied to compare the signup rates of two distinct groups, Mailer1 and Mailer2. !!! See definition below. +The Chi-Square Test For Independence will be applied to compare the **signup rates** of two distinct groups from our *campaign_data* client database: + * customers who received cheap **Mailer1** + * customers who received the higher quality **Mailer2**. + +The Hypothesis Test elements are defined as: +**Null Hypothesis:** There is no relationship between mailer type and signup rate. They are independent and any difference or correlation in effects are due to chance. +**Alternate Hypothesis:** There is a true relationship between mailer type and signup rate. They are not independent. +**Acceptance Criteria:** 0.05 (5%) + +Through Pandas, we can aggregate the observed data of *mailer_type* and *signup_flag* into a 2x2 matrix. We'll then feed these observed frequencies to the `chi2_contingency` algorithm provided by the `scipy` library to calculate the expected values, p-values, Degrees of Freedom (dof), and the Chi-Square Statistic. + +!!! We'll then check our data with the critical value?? -Note: Another viable choice for an approach comparing *rates* would be *Z-Test For Proportions*, which would provide us with the same statistical result as the Chi-Square Test would. +*See more details on the Chi-Square Test, and other related concepts in the *Concept Overview* section* -The Chi-Square Test was chosen for this analysis as it can be represented using a 2x2 data matrix, making the data easier to visualize and explain to stakeholders. Additionally, if the company ever had interest in expanding this campaign to more than two groups, we could easily adapt the Chi-Squared approach to include new group data, providing the business with a consistent way to measure variable significance. +**Note**: Another viable choice for an approach comparing *rates* would be *Z-Test For Proportions*, which would provide us with the same statistical result as the Chi-Square Test would. However, in this business case, it was determined to be more beneficial to use the Chi-Square Test for analysis. + +The Chi-Square Test can be represented using a 2x2 data matrix, making the data easier to visualize and explain to stakeholders. Additionally, if the company ever had interest in expanding this campaign to more than two groups, we could easily adapt the Chi-Squared approach to include new group data, providing the business with a consistent way to measure variable significance.

@@ -99,7 +111,7 @@ The **Chi-Square Test For Independence** is a hypothesis test used to determine The *Null Hypothesis* described above is our baseline assumption. It assumes that there is no relationship or difference between the two variables. It asserts that the observed frequencies of data will match the expected frequencies, with any correlation or minor difference being the result of random chance. -!!! TO BE CONTINUED +!!! TO BE CONTINUED - We do this by running the chi2 contingency function on our data and find a p-value that we run against our acceptance criteria (OR MAYBE DON'T CONTINUE AND IT"S TOO MUCH FLUFF) ___
@@ -167,7 +179,7 @@ acceptance_criteria = 0.05
#### Calculate Observed Frequencies & Expected Frequencies -As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. To get these frequencies, we'll create our 2x2 matrix needed for the Chi-Square approach, using a method called **crosstab()**. +As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. To get these frequencies, we'll create our 2x2 matrix needed for the Chi-Square approach, using a method called **`crosstab()`**. Our observed values come directly from our campaign_data imported above. We are analyzing the impact that mailer_type had on member sign-up rates, so we'll want to pass these data points into the crosstab method. @@ -190,7 +202,7 @@ By running the `crosstab` method, we see: * 209 customers did not sign up for the promotion * 127 customers signed up for the promotion -Since Chi-Squared contingency function won't accept dataframes, we'll have to turn this data into an array by using *.values* property for observed_values. +Since Chi-Squared contingency function won't accept Pandas DataFrames, we'll have to turn this data into an array by using *.values* property for observed_values. ```python observed_values = pd.crosstab(campaign_data['mailer_type'],campaign_data['signup_flag']).values @@ -205,7 +217,7 @@ Running the Chi-Squared function will provide us with the following: * **Expected values** * **P-values** * **Degrees of Freedom (dof)**: used for finding the critical value later -* **chi2_statistic** +* **chi2_statistic** !!! ```python # run the chi-square test @@ -218,7 +230,8 @@ print(p_value) >> 0.16 ``` -We will then run our acceptance criteria along with our calculated dof to find the critical value for our test !!! which will be used for = +We will then run our acceptance criteria along with our calculated dof to find the critical value for our test !!! + ```python # find the critical value for our test critical_value = chi2.ppf(1 - acceptance_criteria, dof) @@ -226,6 +239,24 @@ critical_value = chi2.ppf(1 - acceptance_criteria, dof) print(critical_value) >> 3.84 ``` + +Our calculated p-value of 0.16 is greater than our set acceptance criteria of 0.05, meaning that the difference in signup outcomes between the two mailing groups is not significant. Here, we fail to reject the null hypothesis, so the difference in rates we are seeing on our observed data alone is more due to chance than Mailer impact. + +We can double down on this by comparing the critical value + +!!!Chi-Squared statistic compared to critical value calculated with chi2 + +!!! +Based upon our observed values, we can give this all some context with the signup rate of each group. We get: + +Mailer 1 (Low Cost): 32.8% signup rate +Mailer 2 (High Cost): 37.8% signup rate +From this, we can see that the higher cost mailer does lead to a higher signup rate. The results from our Chi-Square Test will provide us more information about how confident we can be that this difference is robust, or if it might have occured by chance. + +We have a Chi-Square Statistic of 1.94 and a p-value of 0.16. The critical value for our specified Acceptance Criteria of 0.05 is 3.84 + +Note When applying the Chi-Square Test above, we use the parameter correction = False which means we are applying what is known as the Yate’s Correction which is applied when your Degrees of Freedom is equal to one. This correction helps to prevent overestimation of statistical significance in this case. +!!! ___
@@ -235,7 +266,9 @@ ___ ```
-As we can see from the outputs of these print statements, we do indeed retain the null hypothesis. We could not find enough evidence that the signup rates for Mailer 1 and Mailer 2 were different - and thus conclude that there was no significant difference. +As we can see from the outputs of these print statements, we do indeed retain the null hypothesis. We could not find enough evidence that the signup rates for Mailer 1 and Mailer 2 were different - and thus conclude that there was no significant difference. It seems that the quality of the mailer had no statistical impact on who signed up for the campaign. + +Maybe from here, we could look into whether the customer's distances from the stores impact whether ornot they want to be i nthe deilvery club or not. ___ From 77158991acab4c2f2aea74bb869d85682efab70c Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 8 Jul 2026 13:31:40 -0400 Subject: [PATCH 59/89] chi-squared-test almost completed rev --- _posts/2026-06-12-chi-square-test.md | 26 +++++++++++--------------- 1 file changed, 11 insertions(+), 15 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 1bb965bb3..1298b36b6 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -49,7 +49,7 @@ The Hypothesis Test elements are defined as: Through Pandas, we can aggregate the observed data of *mailer_type* and *signup_flag* into a 2x2 matrix. We'll then feed these observed frequencies to the `chi2_contingency` algorithm provided by the `scipy` library to calculate the expected values, p-values, Degrees of Freedom (dof), and the Chi-Square Statistic. -!!! We'll then check our data with the critical value?? +!!!We'll then compare these *See more details on the Chi-Square Test, and other related concepts in the *Concept Overview* section* @@ -57,7 +57,6 @@ Through Pandas, we can aggregate the observed data of *mailer_type* and *signup_ The Chi-Square Test can be represented using a 2x2 data matrix, making the data easier to visualize and explain to stakeholders. Additionally, if the company ever had interest in expanding this campaign to more than two groups, we could easily adapt the Chi-Squared approach to include new group data, providing the business with a consistent way to measure variable significance. -

### Results & Discussion @@ -202,7 +201,7 @@ By running the `crosstab` method, we see: * 209 customers did not sign up for the promotion * 127 customers signed up for the promotion -Since Chi-Squared contingency function won't accept Pandas DataFrames, we'll have to turn this data into an array by using *.values* property for observed_values. +The Chi-Squared contingency function won't accept Pandas DataFrames, so we'll have to convert the observed values data into an array by using *.values* property for observed_values. ```python observed_values = pd.crosstab(campaign_data['mailer_type'],campaign_data['signup_flag']).values @@ -211,13 +210,15 @@ print(observed_values) [209, 127]]) ``` -Now that the observed_values are in an array, we can pass the observed_values into our `chi2_contingency` function that we imported with scipy. +Now that the observed_values are in an array, we can pass the observed_values into our `chi2_contingency` function that we imported with `scipy`. Running the Chi-Squared function will provide us with the following: * **Expected values** * **P-values** * **Degrees of Freedom (dof)**: used for finding the critical value later -* **chi2_statistic** !!! +* **Chi2 Statistic** + +We can additionally test the null hypothesis by finding the *critical value* along our Chi-Squared distribution based on our set acceptance criteria and our calculated dof, using the `chi2.ppf` percentage point function from the scipy library. ```python # run the chi-square test @@ -228,24 +229,15 @@ print(chi2_statistic) print(p_value) >> 0.16 -``` -We will then run our acceptance criteria along with our calculated dof to find the critical value for our test !!! -```python -# find the critical value for our test +# find the critical value for our test using chi2.ppf critical_value = chi2.ppf(1 - acceptance_criteria, dof) print(critical_value) >> 3.84 ``` -Our calculated p-value of 0.16 is greater than our set acceptance criteria of 0.05, meaning that the difference in signup outcomes between the two mailing groups is not significant. Here, we fail to reject the null hypothesis, so the difference in rates we are seeing on our observed data alone is more due to chance than Mailer impact. - -We can double down on this by comparing the critical value - -!!!Chi-Squared statistic compared to critical value calculated with chi2 - !!! Based upon our observed values, we can give this all some context with the signup rate of each group. We get: @@ -262,6 +254,10 @@ ___
# Analyzing The Results +Our calculated p-value of 0.16 is greater than our set acceptance criteria of 0.05, meaning that the difference in signup outcomes between the two mailing groups is not significant. Here, we fail to reject the null hypothesis, so the difference in rates we are seeing on our observed data alone is more due to chance than Mailer impact. + +This conclusion is further supported by our Chi-Square statistic of 1.94 being lower than the calculated critical value of 3.84. + ```python ``` From 48ee83ecc46040c402008892b823c8ece4575125 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 9 Jul 2026 15:26:32 -0400 Subject: [PATCH 60/89] chi-square-test progress (need to see where I left off on the gitpage in .md style) --- _posts/2026-06-12-chi-square-test.md | 48 +++++++++++++--------------- 1 file changed, 23 insertions(+), 25 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 1298b36b6..2e532bbb1 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -110,7 +110,9 @@ The **Chi-Square Test For Independence** is a hypothesis test used to determine The *Null Hypothesis* described above is our baseline assumption. It assumes that there is no relationship or difference between the two variables. It asserts that the observed frequencies of data will match the expected frequencies, with any correlation or minor difference being the result of random chance. -!!! TO BE CONTINUED - We do this by running the chi2 contingency function on our data and find a p-value that we run against our acceptance criteria (OR MAYBE DON'T CONTINUE AND IT"S TOO MUCH FLUFF) +To assess whether differences in observed frequencies are true or due to random chance, !!!the Chi-Square Contingency function provides a chi2 statistic that can be compared against a calculated critical value, in order to reject or fail to reject a null hypothesis. + +!!! TO BE CONTINUED - We do this by running the chi2 contingency function on our data and find a p-value that we run against our acceptance criteria (OR MAYBE DON'T CONTINUE AND IT"S TOO MUCH FLUFF) To assess whether differences are true or due to minor chance, ___
@@ -119,7 +121,7 @@ ___ Our table of interest in the grocery client database is the *campaign_data* table. This table contains each each unique customer_id, the type of mailer they received, if any, and whether or not the customer signed up for the Delivery Club membership. -To determine whether the fancier Mailer 2 lead to a significant difference of people to sign up as opposed to the cheaper Mailer 1, we will first need to exclude the control group from the data by extracting the customers who got either mailer. +To determine whether the fancier Mailer 2 led to a significant difference of people to sign up as opposed to the cheaper Mailer 1, we will first need to exclude the control group from the data by extracting the customers who got either mailer. ```python # import the required python libraries @@ -169,12 +171,10 @@ To kick off our Hypothesis Test, we'll need to define our **Null Hypothesis**, o For our Acceptance Criteria, we'll be using the commonly used value of 0.05 (or 5%). -```python -# specify hypotheses & acceptance criteria for test -null_hypothesis = "There is no relationship between mailer type and signup rate. They are independent" -alternate_hypothesis = "There is a relationship between mailer type and signup rate. They are not independent" -acceptance_criteria = 0.05 -``` +* null_hypothesis: There is no relationship between mailer type and signup rate. They are independent. +* alternate_hypothesis: There is a relationship between mailer type and signup rate. They are not independent. +* acceptance_criteria: 0.05 +
#### Calculate Observed Frequencies & Expected Frequencies @@ -230,7 +230,6 @@ print(chi2_statistic) print(p_value) >> 0.16 - # find the critical value for our test using chi2.ppf critical_value = chi2.ppf(1 - acceptance_criteria, dof) @@ -238,39 +237,37 @@ print(critical_value) >> 3.84 ``` -!!! -Based upon our observed values, we can give this all some context with the signup rate of each group. We get: - -Mailer 1 (Low Cost): 32.8% signup rate -Mailer 2 (High Cost): 37.8% signup rate -From this, we can see that the higher cost mailer does lead to a higher signup rate. The results from our Chi-Square Test will provide us more information about how confident we can be that this difference is robust, or if it might have occured by chance. - -We have a Chi-Square Statistic of 1.94 and a p-value of 0.16. The critical value for our specified Acceptance Criteria of 0.05 is 3.84 +With that code in place, we have all of the values necessary to analyze the results, assess the null hypothesis, and draw a conclusion. -Note When applying the Chi-Square Test above, we use the parameter correction = False which means we are applying what is known as the Yate’s Correction which is applied when your Degrees of Freedom is equal to one. This correction helps to prevent overestimation of statistical significance in this case. +!!! +*Note:* When applying the Chi-Square Test above, we use the parameter correction = False which means we are applying what is known as the Yate’s Correction which is applied when your Degrees of Freedom is equal to one. This correction helps to prevent overestimation of statistical significance in this case. !!! ___
# Analyzing The Results -Our calculated p-value of 0.16 is greater than our set acceptance criteria of 0.05, meaning that the difference in signup outcomes between the two mailing groups is not significant. Here, we fail to reject the null hypothesis, so the difference in rates we are seeing on our observed data alone is more due to chance than Mailer impact. +Based upon the raw observed values from the campaign, we can see that the signup rate for customers receiving Mailer 2 was higher than for the customers receiving Mailer 1: -This conclusion is further supported by our Chi-Square statistic of 1.94 being lower than the calculated critical value of 3.84. +Mailer 1 (Low Cost): 32.8% signup rate +Mailer 2 (High Cost): 37.8% signup rate -```python +The Chi-Square test gives us further insight into whether or not this difference in rate was truly due to the quality of the mailer, or rather, just due to chance. -``` -
-As we can see from the outputs of these print statements, we do indeed retain the null hypothesis. We could not find enough evidence that the signup rates for Mailer 1 and Mailer 2 were different - and thus conclude that there was no significant difference. It seems that the quality of the mailer had no statistical impact on who signed up for the campaign. +Our calculated p-value of 0.16 is greater than our set acceptance criteria of 0.05, meaning that **the difference in signup outcomes between the two mailing groups is not significant.** -Maybe from here, we could look into whether the customer's distances from the stores impact whether ornot they want to be i nthe deilvery club or not. +This conclusion is further supported by our Chi-Square statistic of 1.94 being lower than the calculated critical value of 3.84. In both cases, we **retain the null hypothesis**. There is no relationship between mailer type and signup rate. They are independent. ___
# Discussion +While Mailer 2 saw a higher sign-up rate than Mailer 1 (37.8% vs. 32.8%), the difference was not statistically significant at our 0.05 threshold. + + +Though customers Mailer 2 +At a first glance, it does appear that perhaps customers who receive fancy Mailer 2 When analyzing the observed signup rates of the two mailer groups alone without consideration of random chance effecting values, it does appear that the customers who received fancy Mailer 2 signed up at a higher rate than the customers who received the cheap Mailer 1. From the campaign data alone, at a first glance, it does seem as though the fancy higher cost mailer yielded a higher signup rate at ___ %. How do we account for this chance? what if they were going to signup anyway? @@ -290,3 +287,4 @@ If we did however, determine that Mailer 2 led to significantly more customers s ROI in campaign by saving money on mailers, if expanding to other stores in a chain or a wider audiance after the pilot + It seems that the quality of the mailer had no statistical impact on who signed up for the campaign \ No newline at end of file From 2af5c4b4c1e6fd7cd3bca33982443c783dd46c73 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Thu, 9 Jul 2026 17:19:44 -0400 Subject: [PATCH 61/89] Last things left: Results, Discussion, understanding Yate and his Corrections --- _posts/2026-06-12-chi-square-test.md | 62 ++++++++++++---------------- 1 file changed, 26 insertions(+), 36 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 2e532bbb1..ab3e7f615 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -39,17 +39,17 @@ The client knows that customers who were contacted, signed up for the Delivery C ### Actions The Chi-Square Test For Independence will be applied to compare the **signup rates** of two distinct groups from our *campaign_data* client database: - * customers who received cheap **Mailer1** - * customers who received the higher quality **Mailer2**. + * customers who received cheap **Mailer1** + * customers who received the higher quality **Mailer2**. -The Hypothesis Test elements are defined as: -**Null Hypothesis:** There is no relationship between mailer type and signup rate. They are independent and any difference or correlation in effects are due to chance. -**Alternate Hypothesis:** There is a true relationship between mailer type and signup rate. They are not independent. -**Acceptance Criteria:** 0.05 (5%) +The Hypothesis Test elements are defined as: +* **Null Hypothesis:** There is no relationship between mailer type and signup rate. They are independent variables and any difference in signup rates are due to chance. +* **Alternate Hypothesis:** There is a true relationship between mailer type and signup rate. They are not independent. +* **Acceptance Criteria:** 0.05 (5%) Through Pandas, we can aggregate the observed data of *mailer_type* and *signup_flag* into a 2x2 matrix. We'll then feed these observed frequencies to the `chi2_contingency` algorithm provided by the `scipy` library to calculate the expected values, p-values, Degrees of Freedom (dof), and the Chi-Square Statistic. -!!!We'll then compare these +We'll then take this one step further and find our Critical Value to truly get a grasp on whether we should reject or fail to reject our null hypothesis. *See more details on the Chi-Square Test, and other related concepts in the *Concept Overview* section* @@ -101,18 +101,22 @@ When performing any Hypothesis Test, the following must always be defined: * A *low p-value* (≤ 0.05) suggests your results are highly unlikely to have occurred by chance. There is strong evidence to reject the null hypothesis. - * A *High p-value* (> 0.05) means your results could easily happen under random variation. We would fail to reject the null hypothesis, meaning there isn't enough evidence to prove a true effect exists + * A *High p-value* (> 0.05) means your results could easily happen under random variation. We would fail to reject the null hypothesis, meaning there isn't enough evidence to prove a true association exists
#### Chi-Square Test For Independence The **Chi-Square Test For Independence** is a hypothesis test used to determine whether a significant association exists between two categorical variables. It compares the *observed frequencies* from the actual data points collected from a sample against the *expected frequencies*, the data expected to be seen if the two variables were truly independent. -The *Null Hypothesis* described above is our baseline assumption. It assumes that there is no relationship or difference between the two variables. It asserts that the observed frequencies of data will match the expected frequencies, with any correlation or minor difference being the result of random chance. +The *Null Hypothesis* described above is our baseline assumption. It assumes that there is no relationship or difference between the two variables. It asserts that the observed frequencies of data will match the expected frequencies, with any minor difference being the result of random chance. -To assess whether differences in observed frequencies are true or due to random chance, !!!the Chi-Square Contingency function provides a chi2 statistic that can be compared against a calculated critical value, in order to reject or fail to reject a null hypothesis. +The Chi-Square Contingency function provides a Chi-Square statistic that can be compared against a calculated *critical value*, in order to reject or fail to reject a null hypothesis. + + * Chi-Square Statistic < Critical Value: We retain the null hypothesis - the observed results could easily happen under random variation. meaning there isn't enough evidence to prove a true association exists between variables + * Chi-Square Statistic ≥ Critical Value: We reject the null hypothesis - the observed results are highly unlikely to have occurred by chance providing strong evidence that an association exists between variables + +This function also provides a p-value, which can be compared to the chosen acceptance criteria (also known as the significance level, commonly set to 0.05). If the p-value is less than or equal to this acceptance criteria, the null hypothesis is rejected. -!!! TO BE CONTINUED - We do this by running the chi2 contingency function on our data and find a p-value that we run against our acceptance criteria (OR MAYBE DON'T CONTINUE AND IT"S TOO MUCH FLUFF) To assess whether differences are true or due to minor chance, ___
@@ -237,11 +241,14 @@ print(critical_value) >> 3.84 ``` -With that code in place, we have all of the values necessary to analyze the results, assess the null hypothesis, and draw a conclusion. +*Note: The chi2_contingency function accepts a correction parameter. By setting correction = False, we are setting our degrees of freedom to 1, applying Yate's Correction. This is necessary to define as we are comparing 2 group totals against their result in a 2x2 matrix* !!! *Note:* When applying the Chi-Square Test above, we use the parameter correction = False which means we are applying what is known as the Yate’s Correction which is applied when your Degrees of Freedom is equal to one. This correction helps to prevent overestimation of statistical significance in this case. !!! + +With that code in place, we have all of the values necessary to analyze the results, assess the null hypothesis, and draw a conclusion. + ___
@@ -252,39 +259,22 @@ Based upon the raw observed values from the campaign, we can see that the signup Mailer 1 (Low Cost): 32.8% signup rate Mailer 2 (High Cost): 37.8% signup rate -The Chi-Square test gives us further insight into whether or not this difference in rate was truly due to the quality of the mailer, or rather, just due to chance. +The Chi-Square test gives us further insight into whether this difference in signup rate was truly due to the quality of the mailer, or just due to chance. Our calculated p-value of 0.16 is greater than our set acceptance criteria of 0.05, meaning that **the difference in signup outcomes between the two mailing groups is not significant.** -This conclusion is further supported by our Chi-Square statistic of 1.94 being lower than the calculated critical value of 3.84. In both cases, we **retain the null hypothesis**. There is no relationship between mailer type and signup rate. They are independent. +This conclusion is further supported by our Chi-Square statistic of 1.94 being lower than the calculated critical value of 3.84. In both cases, we **retain the null hypothesis** as there is not enough evidence that the signup rates for Mailer 1 and Mailer 2 were significantly different. ___
# Discussion -While Mailer 2 saw a higher sign-up rate than Mailer 1 (37.8% vs. 32.8%), the difference was not statistically significant at our 0.05 threshold. - - -Though customers Mailer 2 -At a first glance, it does appear that perhaps customers who receive fancy Mailer 2 -When analyzing the observed signup rates of the two mailer groups alone without consideration of random chance effecting values, it does appear that the customers who received fancy Mailer 2 signed up at a higher rate than the customers who received the cheap Mailer 1. - -From the campaign data alone, at a first glance, it does seem as though the fancy higher cost mailer yielded a higher signup rate at ___ %. How do we account for this chance? what if they were going to signup anyway? - -```python -mailer1_signup_rate = 123 / (252 + 123) * 100 -mailer2_signup_rate = 127 / (209 + 127) * 100 - -print(mailer1_signup_rate, mailer2_signup_rate) -``` - -With a p-value, critical value of ___, we see - -Because there is no significant difference between the signup rate of Mailer recipients, we could recommend that for the next promotion, the grocery store only send the cheap version of the mailers to customers. This can save the business money overall. +!!!! +While Mailer 2 saw a higher sign-up rate than Mailer 1 (37.8% vs. 32.8%), the difference was not statistically significant at our 0.05 acceptance criteria threshold. The results of the hypothesis test suggest that the the more expensive mailer didn't truly impact whether a customer signed up or not. -If we did however, determine that Mailer 2 led to significantly more customers signing up, then we may consider going forward with only sending out Mailer 2 to keep us ahead of the competition by appealing to newer folks. +At first glance, our client may have assumed that the quality of expensive Mailer 2 may have been a driving force in signup rate. Without our hypothesis test, the client may have considered sending strictly the fancy Mailers, for their next promotion, losing unneccessary funding. -ROI in campaign by saving money on mailers, if expanding to other stores in a chain or a wider audiance after the pilot +Though we've concluded there is no significant difference between signup rates, it is important to note that we've only analyzed a small sample of data from one campaign. The evidence supporting our null hypothesis rejection does not garuntee that the quality in mailer didn't make a difference, our experiment justifies us in advising our client that we should not jump to conclusions just yet on the impact of the mailers. - It seems that the quality of the mailer had no statistical impact on who signed up for the campaign \ No newline at end of file +Running more A/B tests like this over more data would give us more insight overtime. With more experiments supporting retaining the null hypothesis, we may recommend that for the next promotion, the grocery store only send the cheaper version of the mailers to customers to cut printing costs. \ No newline at end of file From 8db4823258733deacd953bb1db634fd6828efb50 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Fri, 10 Jul 2026 13:38:43 -0400 Subject: [PATCH 62/89] Last to dos: Results and Discussion section Get a better grasp of yate's and his corrections --- _posts/2026-06-12-chi-square-test.md | 32 +++++++++++++++------------- 1 file changed, 17 insertions(+), 15 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index ab3e7f615..00e68a58e 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -45,7 +45,7 @@ The Chi-Square Test For Independence will be applied to compare the **signup rat The Hypothesis Test elements are defined as: * **Null Hypothesis:** There is no relationship between mailer type and signup rate. They are independent variables and any difference in signup rates are due to chance. * **Alternate Hypothesis:** There is a true relationship between mailer type and signup rate. They are not independent. -* **Acceptance Criteria:** 0.05 (5%) +* **Significance Level:** 0.05 (5%) Through Pandas, we can aggregate the observed data of *mailer_type* and *signup_flag* into a 2x2 matrix. We'll then feed these observed frequencies to the `chi2_contingency` algorithm provided by the `scipy` library to calculate the expected values, p-values, Degrees of Freedom (dof), and the Chi-Square Statistic. @@ -93,11 +93,11 @@ When performing any Hypothesis Test, the following must always be defined: The "Alternate Hypothesis" suggests that there is a significant and measurable relationship, effect, or difference between variables, directly contradicting the Null Hypothesis. When we reject the Null Hypothesis, we accept the Alternate Hypothesis, concluding that the observed relationship is highly unlikely to have occurred by chance alone. -* **The Acceptance Criteria** +* **The Significance Level** - To statistically determine whether to reject the null hypothesis in favor of the alternate, an "Acceptance Criteria" must be specified. The acceptance criteria, also known the Significance Level, is a specified p-value threshold in which we are measuring our Null Hypothesis against. In other words, the set threshold draws a line between what we consider random chance and what we consider a statistically significant result. + To statistically determine whether to reject the null hypothesis in favor of the alternate, a "significance level" must be specified. The *significance level* is a specified p-value threshold in which we are measuring our null hypothesis against. In other words, the set threshold draws a line between what we consider random chance and what we consider a statistically significant result. - A *p-value*, or probability value, is a calculated value used to determine if the data is extreme enough to reject the null hypothesis. It is a common practice to set the acceptance criteria to 0.05 or 5%. + A *p-value*, or probability value, is a calculated value used to determine if the data is extreme enough to reject the null hypothesis. It is a common practice to set the significance level to 0.05 or 5%. * A *low p-value* (≤ 0.05) suggests your results are highly unlikely to have occurred by chance. There is strong evidence to reject the null hypothesis. @@ -115,7 +115,7 @@ The Chi-Square Contingency function provides a Chi-Square statistic that can be * Chi-Square Statistic < Critical Value: We retain the null hypothesis - the observed results could easily happen under random variation. meaning there isn't enough evidence to prove a true association exists between variables * Chi-Square Statistic ≥ Critical Value: We reject the null hypothesis - the observed results are highly unlikely to have occurred by chance providing strong evidence that an association exists between variables -This function also provides a p-value, which can be compared to the chosen acceptance criteria (also known as the significance level, commonly set to 0.05). If the p-value is less than or equal to this acceptance criteria, the null hypothesis is rejected. +This function also provides a p-value, which can be compared to the chosen significance level (commonly set to 0.05). If the p-value is less than or equal to this significance level, the null hypothesis is rejected. ___ @@ -169,11 +169,11 @@ ___ # Applying Chi-Square Test For Independence -#### State Hypotheses & Acceptance Criteria For Test +#### State Hypotheses & Significance Level For Test -To kick off our Hypothesis Test, we'll need to define our **Null Hypothesis**, our **Alternate Hypothesis**, and our **Acceptance Criteria**. (See more on these terms in the *Concept Overview* section above) +To kick off our Hypothesis Test, we'll need to define our **Null Hypothesis**, our **Alternate Hypothesis**, and our **Significance Level**. (See more on these terms in the *Concept Overview* section above) -For our Acceptance Criteria, we'll be using the commonly used value of 0.05 (or 5%). +For our significance level, we'll be using the commonly used value of 0.05 (or 5%). * null_hypothesis: There is no relationship between mailer type and signup rate. They are independent. * alternate_hypothesis: There is a relationship between mailer type and signup rate. They are not independent. @@ -222,7 +222,7 @@ Running the Chi-Squared function will provide us with the following: * **Degrees of Freedom (dof)**: used for finding the critical value later * **Chi2 Statistic** -We can additionally test the null hypothesis by finding the *critical value* along our Chi-Squared distribution based on our set acceptance criteria and our calculated dof, using the `chi2.ppf` percentage point function from the scipy library. +We can additionally test the null hypothesis by finding the *critical value* along our Chi-Squared distribution based on our set significance level and our calculated dof, using the `chi2.ppf` percentage point function from the scipy library. ```python # run the chi-square test @@ -261,7 +261,7 @@ Mailer 2 (High Cost): 37.8% signup rate The Chi-Square test gives us further insight into whether this difference in signup rate was truly due to the quality of the mailer, or just due to chance. -Our calculated p-value of 0.16 is greater than our set acceptance criteria of 0.05, meaning that **the difference in signup outcomes between the two mailing groups is not significant.** +Our calculated p-value of 0.16 is greater than our set significance level of 0.05, meaning that **the difference in signup outcomes between the two mailing groups is not significant.** This conclusion is further supported by our Chi-Square statistic of 1.94 being lower than the calculated critical value of 3.84. In both cases, we **retain the null hypothesis** as there is not enough evidence that the signup rates for Mailer 1 and Mailer 2 were significantly different. @@ -270,11 +270,13 @@ ___
# Discussion -!!!! -While Mailer 2 saw a higher sign-up rate than Mailer 1 (37.8% vs. 32.8%), the difference was not statistically significant at our 0.05 acceptance criteria threshold. The results of the hypothesis test suggest that the the more expensive mailer didn't truly impact whether a customer signed up or not. +While Mailer 2 yielded a higher sign-up rate than Mailer 1 (37.8% vs. 32.8%), the difference was not statistically significant at our 0.05 significance level. The results of the Chi-Square test of independence suggest that we cannot conclude the more expensive mailer had a true impact on whether a customer signed up. -At first glance, our client may have assumed that the quality of expensive Mailer 2 may have been a driving force in signup rate. Without our hypothesis test, the client may have considered sending strictly the fancy Mailers, for their next promotion, losing unneccessary funding. +At first glance, the client might look at the raw percentages and assume the premium quality of Mailer 2 drove the sign-ups. Without this hypothesis test, they may have considered sending exclusively the more expensive mailers for their next promotion—potentially wasting valuable funding. -Though we've concluded there is no significant difference between signup rates, it is important to note that we've only analyzed a small sample of data from one campaign. The evidence supporting our null hypothesis rejection does not garuntee that the quality in mailer didn't make a difference, our experiment justifies us in advising our client that we should not jump to conclusions just yet on the impact of the mailers. +However, because this analysis was limited to a small sample size from a single campaign, failing to reject the null hypothesis does not definitively prove that mailer quality makes no difference. It simply means we currently lack the evidence to prove that it does. Therefore, we advise the client not to jump to conclusions just yet. Running additional A/B tests over time will provide deeper insights; if future data consistently supports retaining the null hypothesis, we can then confidently recommend sticking to the cheaper mailers to optimize printing costs. -Running more A/B tests like this over more data would give us more insight overtime. With more experiments supporting retaining the null hypothesis, we may recommend that for the next promotion, the grocery store only send the cheaper version of the mailers to customers to cut printing costs. \ No newline at end of file +!!!! +*To Do* +yate's correction +Results & Discussion From e7a2e40150422ed0efb39734c380069e49568eea Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 27 Jul 2026 12:45:32 -0400 Subject: [PATCH 63/89] Chi2 test for independence complete! (TBD: possible future update for formatting) --- _posts/2026-06-12-chi-square-test.md | 72 ++++++++++++++++------------ 1 file changed, 42 insertions(+), 30 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 00e68a58e..422793ad8 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -7,7 +7,7 @@ tags: [AB Testing, Hypothesis Testing, Chi-Square, Python] In this project, we'll be running an A/B test on grocery retailer campaign data to determine if the quality of promotion mail sent to customers significantly impacted who signed up for a promoted membership. -We will do this through applying the Chi-Square Test For Independence to measure the significance of the difference in signups between 2 groups of customers. +We will do this through applying the Chi-Square Test of Independence to measure the significance of the difference in signups between 2 groups of customers. # Table of contents @@ -18,7 +18,7 @@ We will do this through applying the Chi-Square Test For Independence to measure - [01. Concept Overview](#concept-overview) - [02. Data Overview & Preparation](#data-overview) - [03. Applying Chi-Square Test For Independence](#chi-square-application) -- [04. Analysing The Results](#chi-square-results) +- [04. Analyzing The Results](#chi-square-results) - [05. Discussion](#discussion) ___ @@ -27,20 +27,20 @@ ___ ### Context -In late June, our client, a grocery retailer, ran a campaign to promote their new "Delivery Club" membership. Signing up for the club costs $100 and gives customers free grocery deliveries for one year, starting June 1st. +In late June, our client, a grocery retailer, ran a campaign to promote their new "Delivery Club" memberships. Signing up for the club costs $100 and gives customers free grocery deliveries for one year, starting June 1st. For the campaign promoting the club, customers were put randomly into three groups: -* The first group received a cheap, low quality mailer, Mailer 1. +* The first group received a bland, low cost mailer, Mailer 1. * The second group received a colorful, high quality, high cost mailer, Mailer 2. -* The third group was a control group. They did not receive any mailer. +* The third group was a control group. They did not receive any mail. -The client knows that customers who were contacted, signed up for the Delivery Club at a far higher rate than the control group, but are now curious as to if there is a significant difference in customer signup rate between the cheap mailer and the expensive mailer. This will allow them to make more informed decisions in the future, such as whether it is worth it to spend the money on fancier mailers or not. +The client knows that customers who were contacted, signed up for the Delivery Club at a far higher rate than the control group, but are now curious as to if there is a significant difference in customer signup rate between the cheap mailer and the expensive mailer. This will allow them to make more informed decisions in the future, such as whether it is worth it to spend the money on higher cost mailers or not. ### Actions -The Chi-Square Test For Independence will be applied to compare the **signup rates** of two distinct groups from our *campaign_data* client database: - * customers who received cheap **Mailer1** - * customers who received the higher quality **Mailer2**. +The Chi-Square Test of Independence will be applied to compare the **signup rates** of two distinct groups from our *campaign_data* client database: + * customers who received low cost **Mailer1** + * customers who received the higher quality, high cost **Mailer2**. The Hypothesis Test elements are defined as: * **Null Hypothesis:** There is no relationship between mailer type and signup rate. They are independent variables and any difference in signup rates are due to chance. @@ -61,7 +61,23 @@ The Chi-Square Test can be represented using a 2x2 data matrix, making the data ### Results & Discussion -!!!! +At a first glance of the observed data, it appears that the high-cost mailer yielded a higher signup rate: + +*Mailer 1 (low-cost): 32.8% signup rate +*Mailer 2 (high-cost): 37.8% signup rate + +However, the results of the Chi-Square Test of Independence indicate otherwise: + +*Chi-Square Statistic: 1.94 < Critical Value: 3.84 +*p-value: 0.16 > Acceptance Criteria 0.05 + +With these results, we retain the null hypothesis and conclude there is no measurable relationship between mailer cost and signup rates. This suggests that the 5% variation in signup rate could be due to random chance. + +**Business Impact:** +Upgrading to the higher-cost mailer risks increasing spending without reliably driving additional revenue. + +**Next Steps:** +As current findings do not support a permanent shift to higher-cost mailers, we advise running additional A/B tests with larger sample sizes to confirm whether a true performance gap exists or not.

@@ -74,7 +90,7 @@ ___ An A/B test takes two randomized groups, A and B, and provides them with different experiences. In the A/B test, we measure the response of each group to understand the impact each experience had on the response. These insights can help drive business decisions in the future. -For example, a company may post 2 different pictures advertising the same product on their website. With an A/B test, we could look to measure if the picture used in the ad significantly impacted the amount of users who clicked on the ad. If one ad yielded significantly more clicks, the business can use this data when thinking about what characteristics got the user to click and incorporate those features into future ads. +For example, a company may post 2 different pictures advertising the same product on their website. With an A/B test, we could look to measure if the picture used in the ad significantly impacted the number of users who clicked on the ad. If one ad yielded significantly more clicks, the business can use this data when thinking about what characteristics got the user to click and incorporate those features into future ads.
### Hypothesis Testing @@ -104,16 +120,17 @@ When performing any Hypothesis Test, the following must always be defined: * A *High p-value* (> 0.05) means your results could easily happen under random variation. We would fail to reject the null hypothesis, meaning there isn't enough evidence to prove a true association exists
-#### Chi-Square Test For Independence +#### Chi-Square Test of Independence -The **Chi-Square Test For Independence** is a hypothesis test used to determine whether a significant association exists between two categorical variables. It compares the *observed frequencies* from the actual data points collected from a sample against the *expected frequencies*, the data expected to be seen if the two variables were truly independent. +The **Chi-Square Test of Independence** is a hypothesis test used to determine whether a significant association exists between two categorical variables. It compares the *observed frequencies* from the actual data points collected from a sample against the *expected frequencies*, the data expected to be seen if the two variables were truly independent. The *Null Hypothesis* described above is our baseline assumption. It assumes that there is no relationship or difference between the two variables. It asserts that the observed frequencies of data will match the expected frequencies, with any minor difference being the result of random chance. The Chi-Square Contingency function provides a Chi-Square statistic that can be compared against a calculated *critical value*, in order to reject or fail to reject a null hypothesis. - * Chi-Square Statistic < Critical Value: We retain the null hypothesis - the observed results could easily happen under random variation. meaning there isn't enough evidence to prove a true association exists between variables - * Chi-Square Statistic ≥ Critical Value: We reject the null hypothesis - the observed results are highly unlikely to have occurred by chance providing strong evidence that an association exists between variables + * Chi-Square Statistic < Critical Value: We retain the null hypothesis - the observed results could easily happen under random variation. meaning there isn't enough evidence to prove a true association exists between variables + + * Chi-Square Statistic ≥ Critical Value: We reject the null hypothesis - the observed results are highly unlikely to have occurred by chance providing strong evidence that an association exists between variables This function also provides a p-value, which can be compared to the chosen significance level (commonly set to 0.05). If the p-value is less than or equal to this significance level, the null hypothesis is rejected. @@ -123,7 +140,7 @@ ___ # Data Overview & Preparation Our table of interest in the grocery client database is the *campaign_data* table. -This table contains each each unique customer_id, the type of mailer they received, if any, and whether or not the customer signed up for the Delivery Club membership. +This table contains each unique customer_id, the type of mailer they received, if any, and whether or not the customer signed up for the Delivery Club membership. To determine whether the fancier Mailer 2 led to a significant difference of people to sign up as opposed to the cheaper Mailer 1, we will first need to exclude the control group from the data by extracting the customers who got either mailer. @@ -166,7 +183,7 @@ In the **campaign_data** DataFrame we have the following columns: ___
-# Applying Chi-Square Test For Independence +# Applying Chi-Square Test of Independence #### State Hypotheses & Significance Level For Test @@ -184,7 +201,7 @@ For our significance level, we'll be using the commonly used value of 0.05 (or 5 As detailed in the *Concept Overview* section above, our **observed frequencies** come directly from the rates per group in our collected data. To get these frequencies, we'll create our 2x2 matrix needed for the Chi-Square approach, using a method called **`crosstab()`**. -Our observed values come directly from our campaign_data imported above. We are analyzing the impact that mailer_type had on member sign-up rates, so we'll want to pass these data points into the crosstab method. +Our observed values come directly from our campaign_data imported above. We are analyzing the impact that mailer_type had on member signup rates, so we'll want to pass these data points into the crosstab method. We can visualize this data in the `DataFrame` below: ```python @@ -241,11 +258,7 @@ print(critical_value) >> 3.84 ``` -*Note: The chi2_contingency function accepts a correction parameter. By setting correction = False, we are setting our degrees of freedom to 1, applying Yate's Correction. This is necessary to define as we are comparing 2 group totals against their result in a 2x2 matrix* - -!!! -*Note:* When applying the Chi-Square Test above, we use the parameter correction = False which means we are applying what is known as the Yate’s Correction which is applied when your Degrees of Freedom is equal to one. This correction helps to prevent overestimation of statistical significance in this case. -!!! +*Note: The chi2_contingency function accepts a correction parameter. By setting correction = False, we are applying Yate's Correction. This is necessary to define as we are comparing 2 group totals against their results in a 2x2 matrix* With that code in place, we have all of the values necessary to analyze the results, assess the null hypothesis, and draw a conclusion. @@ -256,8 +269,8 @@ ___ Based upon the raw observed values from the campaign, we can see that the signup rate for customers receiving Mailer 2 was higher than for the customers receiving Mailer 1: -Mailer 1 (Low Cost): 32.8% signup rate -Mailer 2 (High Cost): 37.8% signup rate +Mailer 1 (low-cost): 32.8% signup rate +Mailer 2 (high-cost): 37.8% signup rate The Chi-Square test gives us further insight into whether this difference in signup rate was truly due to the quality of the mailer, or just due to chance. @@ -270,13 +283,12 @@ ___
# Discussion -While Mailer 2 yielded a higher sign-up rate than Mailer 1 (37.8% vs. 32.8%), the difference was not statistically significant at our 0.05 significance level. The results of the Chi-Square test of independence suggest that we cannot conclude the more expensive mailer had a true impact on whether a customer signed up. +While Mailer 2 yielded a higher signup rate than Mailer 1 (37.8% vs. 32.8%), the difference was not statistically significant at our 0.05 significance level. The results of the Chi-Square test of independence reveal that we cannot yet conclude whether the more expensive mailer had a true impact on whether a customer signed up. -At first glance, the client might look at the raw percentages and assume the premium quality of Mailer 2 drove the sign-ups. Without this hypothesis test, they may have considered sending exclusively the more expensive mailers for their next promotion—potentially wasting valuable funding. +At first glance, the client might look at the raw percentages and assume the premium quality of Mailer 2 was the driving force behind the higher signup rate. Without this hypothesis test, they may have considered exclusively sending the more expensive mailers for their next promotion, potentially wasting valuable funding. -However, because this analysis was limited to a small sample size from a single campaign, failing to reject the null hypothesis does not definitively prove that mailer quality makes no difference. It simply means we currently lack the evidence to prove that it does. Therefore, we advise the client not to jump to conclusions just yet. Running additional A/B tests over time will provide deeper insights; if future data consistently supports retaining the null hypothesis, we can then confidently recommend sticking to the cheaper mailers to optimize printing costs. +It is important to note that this analysis was limited to a small sample size from a single campaign. *Failing to reject the null hypothesis does not definitively prove that mailer quality didn't impact signup rates, it simply means we currently lack the evidence to prove that it does.* Therefore, we advise the client not to jump to conclusions just yet. Running additional A/B tests over time will provide deeper insights. If future data consistently supports retaining the null hypothesis, we can then confidently recommend sticking to the cheaper mailers to optimize printing costs. !!!! *To Do* -yate's correction -Results & Discussion +spell check From c2fae91ff78e819698c129399a24ee70fbcc09cf Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 27 Jul 2026 12:53:03 -0400 Subject: [PATCH 64/89] Chi2 Test formatting gitpages --- _posts/2026-06-12-chi-square-test.md | 26 ++++++++++---------------- 1 file changed, 10 insertions(+), 16 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 422793ad8..5402a8c30 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -36,6 +36,8 @@ For the campaign promoting the club, customers were put randomly into three grou The client knows that customers who were contacted, signed up for the Delivery Club at a far higher rate than the control group, but are now curious as to if there is a significant difference in customer signup rate between the cheap mailer and the expensive mailer. This will allow them to make more informed decisions in the future, such as whether it is worth it to spend the money on higher cost mailers or not. +
+ ### Actions The Chi-Square Test of Independence will be applied to compare the **signup rates** of two distinct groups from our *campaign_data* client database: @@ -63,25 +65,23 @@ The Chi-Square Test can be represented using a 2x2 data matrix, making the data At a first glance of the observed data, it appears that the high-cost mailer yielded a higher signup rate: -*Mailer 1 (low-cost): 32.8% signup rate -*Mailer 2 (high-cost): 37.8% signup rate +* Mailer 1 (low-cost): 32.8% signup rate +* Mailer 2 (high-cost): 37.8% signup rate However, the results of the Chi-Square Test of Independence indicate otherwise: -*Chi-Square Statistic: 1.94 < Critical Value: 3.84 -*p-value: 0.16 > Acceptance Criteria 0.05 +* Chi-Square Statistic: 1.94 < Critical Value: 3.84 +* p-value: 0.16 > Acceptance Criteria 0.05 With these results, we retain the null hypothesis and conclude there is no measurable relationship between mailer cost and signup rates. This suggests that the 5% variation in signup rate could be due to random chance. -**Business Impact:** +**Business Impact:** Upgrading to the higher-cost mailer risks increasing spending without reliably driving additional revenue. -**Next Steps:** +**Next Steps:** As current findings do not support a permanent shift to higher-cost mailers, we advise running additional A/B tests with larger sample sizes to confirm whether a true performance gap exists or not.
-
- ___ # Concept Overview @@ -136,7 +136,6 @@ This function also provides a p-value, which can be compared to the chosen signi ___ -
# Data Overview & Preparation Our table of interest in the grocery client database is the *campaign_data* table. @@ -185,6 +184,7 @@ ___
# Applying Chi-Square Test of Independence +
#### State Hypotheses & Significance Level For Test @@ -264,7 +264,6 @@ With that code in place, we have all of the values necessary to analyze the resu ___ -
# Analyzing The Results Based upon the raw observed values from the campaign, we can see that the signup rate for customers receiving Mailer 2 was higher than for the customers receiving Mailer 1: @@ -280,15 +279,10 @@ This conclusion is further supported by our Chi-Square statistic of 1.94 being l ___ -
# Discussion While Mailer 2 yielded a higher signup rate than Mailer 1 (37.8% vs. 32.8%), the difference was not statistically significant at our 0.05 significance level. The results of the Chi-Square test of independence reveal that we cannot yet conclude whether the more expensive mailer had a true impact on whether a customer signed up. At first glance, the client might look at the raw percentages and assume the premium quality of Mailer 2 was the driving force behind the higher signup rate. Without this hypothesis test, they may have considered exclusively sending the more expensive mailers for their next promotion, potentially wasting valuable funding. -It is important to note that this analysis was limited to a small sample size from a single campaign. *Failing to reject the null hypothesis does not definitively prove that mailer quality didn't impact signup rates, it simply means we currently lack the evidence to prove that it does.* Therefore, we advise the client not to jump to conclusions just yet. Running additional A/B tests over time will provide deeper insights. If future data consistently supports retaining the null hypothesis, we can then confidently recommend sticking to the cheaper mailers to optimize printing costs. - -!!!! -*To Do* -spell check +It is important to note that this analysis was limited to a small sample size from a single campaign. *Failing to reject the null hypothesis does not definitively prove that mailer quality didn't impact signup rates, it simply means we currently lack the evidence to prove that it does.* Therefore, we advise the client not to jump to conclusions just yet. Running additional A/B tests over time will provide deeper insights. If future data consistently supports retaining the null hypothesis, we can then confidently recommend sticking to the cheaper mailers to optimize printing costs. \ No newline at end of file From ce323940512c2b1d6ea48b52c98956181df9ea4c Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 27 Jul 2026 12:58:08 -0400 Subject: [PATCH 65/89] minor formatting changes to chi2 test of independence --- _posts/2026-06-12-chi-square-test.md | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 5402a8c30..3081845ea 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -25,6 +25,7 @@ ___ # Project Overview +
### Context In late June, our client, a grocery retailer, ran a campaign to promote their new "Delivery Club" memberships. Signing up for the club costs $100 and gives customers free grocery deliveries for one year, starting June 1st. @@ -81,7 +82,6 @@ Upgrading to the higher-cost mailer risks increasing spending without reliably d **Next Steps:** As current findings do not support a permanent shift to higher-cost mailers, we advise running additional A/B tests with larger sample sizes to confirm whether a true performance gap exists or not. -
___ # Concept Overview @@ -181,7 +181,6 @@ In the **campaign_data** DataFrame we have the following columns: ___ -
# Applying Chi-Square Test of Independence
From 254d4088c9aefc7508298d5ba7e0d3dda827567e Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 27 Jul 2026 13:02:59 -0400 Subject: [PATCH 66/89] minor chi2 format updates --- _posts/2026-06-12-chi-square-test.md | 12 ++++++++---- 1 file changed, 8 insertions(+), 4 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 3081845ea..63c72edcc 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -66,20 +66,24 @@ The Chi-Square Test can be represented using a 2x2 data matrix, making the data At a first glance of the observed data, it appears that the high-cost mailer yielded a higher signup rate: +''' * Mailer 1 (low-cost): 32.8% signup rate * Mailer 2 (high-cost): 37.8% signup rate +''' However, the results of the Chi-Square Test of Independence indicate otherwise: +''' * Chi-Square Statistic: 1.94 < Critical Value: 3.84 * p-value: 0.16 > Acceptance Criteria 0.05 +''' With these results, we retain the null hypothesis and conclude there is no measurable relationship between mailer cost and signup rates. This suggests that the 5% variation in signup rate could be due to random chance. -**Business Impact:** +**Business Impact:** Upgrading to the higher-cost mailer risks increasing spending without reliably driving additional revenue. -**Next Steps:** +**Next Steps:** As current findings do not support a permanent shift to higher-cost mailers, we advise running additional A/B tests with larger sample sizes to confirm whether a true performance gap exists or not. ___ @@ -128,9 +132,9 @@ The *Null Hypothesis* described above is our baseline assumption. It assumes tha The Chi-Square Contingency function provides a Chi-Square statistic that can be compared against a calculated *critical value*, in order to reject or fail to reject a null hypothesis. - * Chi-Square Statistic < Critical Value: We retain the null hypothesis - the observed results could easily happen under random variation. meaning there isn't enough evidence to prove a true association exists between variables +* Chi-Square Statistic < Critical Value: We retain the null hypothesis - the observed results could easily happen under random variation. meaning there isn't enough evidence to prove a true association exists between variables - * Chi-Square Statistic ≥ Critical Value: We reject the null hypothesis - the observed results are highly unlikely to have occurred by chance providing strong evidence that an association exists between variables +* Chi-Square Statistic ≥ Critical Value: We reject the null hypothesis - the observed results are highly unlikely to have occurred by chance providing strong evidence that an association exists between variables This function also provides a p-value, which can be compared to the chosen significance level (commonly set to 0.05). If the p-value is less than or equal to this significance level, the null hypothesis is rejected. From ec1967352289cfad8c194310ff8466b2e970be34 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 27 Jul 2026 13:05:34 -0400 Subject: [PATCH 67/89] minor format updates chi2... AGAIN --- _posts/2026-06-12-chi-square-test.md | 12 ++++-------- 1 file changed, 4 insertions(+), 8 deletions(-) diff --git a/_posts/2026-06-12-chi-square-test.md b/_posts/2026-06-12-chi-square-test.md index 63c72edcc..e6522e897 100644 --- a/_posts/2026-06-12-chi-square-test.md +++ b/_posts/2026-06-12-chi-square-test.md @@ -66,17 +66,13 @@ The Chi-Square Test can be represented using a 2x2 data matrix, making the data At a first glance of the observed data, it appears that the high-cost mailer yielded a higher signup rate: -''' -* Mailer 1 (low-cost): 32.8% signup rate -* Mailer 2 (high-cost): 37.8% signup rate -''' + * Mailer 1 (low-cost): 32.8% signup rate + * Mailer 2 (high-cost): 37.8% signup rate However, the results of the Chi-Square Test of Independence indicate otherwise: -''' -* Chi-Square Statistic: 1.94 < Critical Value: 3.84 -* p-value: 0.16 > Acceptance Criteria 0.05 -''' + * Chi-Square Statistic: 1.94 < Critical Value: 3.84 + * p-value: 0.16 > Acceptance Criteria 0.05 With these results, we retain the null hypothesis and conclude there is no measurable relationship between mailer cost and signup rates. This suggests that the 5% variation in signup rate could be due to random chance. From 19b32d953d0f1e6f80c76aa4836387d0eb5daf7a Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 27 Jul 2026 15:04:45 -0400 Subject: [PATCH 68/89] Publishing draft 1 of the Tableau earthquake tracker to see if Tableau embedded correctly --- .../2026-06-29-Earthquake-Tracker-Tableau.md | 18 ++++++++++++++++++ temp/Earthquakes.md | 19 +++++++++++++++++++ 2 files changed, 37 insertions(+) create mode 100644 _posts/2026-06-29-Earthquake-Tracker-Tableau.md create mode 100644 temp/Earthquakes.md diff --git a/_posts/2026-06-29-Earthquake-Tracker-Tableau.md b/_posts/2026-06-29-Earthquake-Tracker-Tableau.md new file mode 100644 index 000000000..147f39a43 --- /dev/null +++ b/_posts/2026-06-29-Earthquake-Tracker-Tableau.md @@ -0,0 +1,18 @@ +--- +layout: post +title: Earthquake Tracking Tableau Dashboard +#@ image: "/posts/.jpg" +tags: [Tableau, Data Viz] +--- + +This Tableau dashboard tracks global earthquake activity for a given data set of a 30 day period. + +___ + +

+ +___ + +# to do!! +upload image of dashboard for main page +deeper description of what the dashboard entails diff --git a/temp/Earthquakes.md b/temp/Earthquakes.md new file mode 100644 index 000000000..fba958935 --- /dev/null +++ b/temp/Earthquakes.md @@ -0,0 +1,19 @@ +--- +layout: post +title: Earthquake Tracking Tableau Dashboard +#@ image: "/posts/.jpg" +tags: [Tableau, Data Viz] +--- + +This Tableau dashboard tracks global earthquake activity for a given data set of a 30 day period. + +___ + +
+ +___ + +# to do!! +upload image of dashboard +!!!add my tableau link instead (BEFORE COMMITING) +deeper description of what the dashboard entails From 6a2a01380277f0aa99b7c2e2897ca8c5a1e8c215 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 27 Jul 2026 15:12:41 -0400 Subject: [PATCH 69/89] embedding Tableau dashboard - take 2 --- .../2026-06-29-Earthquake-Tracker-Tableau.md | 53 +++++++++++++++++-- 1 file changed, 49 insertions(+), 4 deletions(-) diff --git a/_posts/2026-06-29-Earthquake-Tracker-Tableau.md b/_posts/2026-06-29-Earthquake-Tracker-Tableau.md index 147f39a43..b57d2f274 100644 --- a/_posts/2026-06-29-Earthquake-Tracker-Tableau.md +++ b/_posts/2026-06-29-Earthquake-Tracker-Tableau.md @@ -1,6 +1,6 @@ --- layout: post -title: Earthquake Tracking Tableau Dashboard +title: Earthquake Tracker - Tableau Dashboard #@ image: "/posts/.jpg" tags: [Tableau, Data Viz] --- @@ -9,10 +9,55 @@ This Tableau dashboard tracks global earthquake activity for a given data set of ___ -
+
+ + + +
+ ___ # to do!! -upload image of dashboard for main page -deeper description of what the dashboard entails +* upload image of dashboard for main page +* deeper description of what the dashboard entails From 707952eeedf24afe5e2028462895237ba7e18be6 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Mon, 27 Jul 2026 16:54:31 -0400 Subject: [PATCH 70/89] The dashboard is embedded.. BUT the tables are getting cut off - need to figure out if it's a code formatting issue --- .../2026-06-29-Earthquake-Tracker-Tableau.md | 29 +++++++++++-------- 1 file changed, 17 insertions(+), 12 deletions(-) diff --git a/_posts/2026-06-29-Earthquake-Tracker-Tableau.md b/_posts/2026-06-29-Earthquake-Tracker-Tableau.md index b57d2f274..f37d403dc 100644 --- a/_posts/2026-06-29-Earthquake-Tracker-Tableau.md +++ b/_posts/2026-06-29-Earthquake-Tracker-Tableau.md @@ -9,25 +9,22 @@ This Tableau dashboard tracks global earthquake activity for a given data set of ___ -
+
- -

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zBBU|jPZKq`%+n%DfD#FD@;~_3g!~`zpNuU(Xgy=WUMcZ~#-%o=b9TCVEX7jLS`}!^ sMdgG~k+$wfc5};Z=stnEmOFHPMh6>_mU!?8`D7R)^X8PaG_}wF*&X$`egFUf literal 0 HcmV?d00001 From 06cde62bc2dec772a6e95ffb4823958b5c6d190f Mon Sep 17 00:00:00 2001 From: golden-hail Date: Tue, 30 Jun 2026 12:48:10 -0400 Subject: [PATCH 03/89] Update _config.yml --- _config.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_config.yml b/_config.yml index ea7d07e6d..2e1ba554d 100644 --- a/_config.yml +++ b/_config.yml @@ -8,7 +8,7 @@ plugins: #------------------------------- # General Site Settings -title: Johnny Hopkins +title: Antonia Iaquinta description: "Hi I'm Johnny, and I'm a Data Scientist. My portfolio focuses on interesting projects I've recently undertaken, with a strong emphasis on business impact. Please visit my Github & LinkedIn pages (or download my Resume) by using the links below!" baseurl: "" # the subpath of your site, e.g. /blog url: "" # the base hostname & protocol for your site, e.g. http://example.com @@ -16,7 +16,7 @@ url: "" # the base hostname & protocol for your site, e.g. http://example.com #------------------------------- # About Section subtitle: Data Science Portfolio -location: "London, UK" +location: "Massachusetts, US" resume_url: /docs/resume.docx avatar_image: /img/profile_picture.JPG From f9a4eb4ece73fa7ab57318a9301bd94aa3cf9821 Mon Sep 17 00:00:00 2001 From: golden-hail Date: Wed, 1 Jul 2026 11:42:09 -0400 Subject: [PATCH 04/89] Add files via upload --- docs/antonia_iaquinta_resume.docx | Bin 0 -> 21236 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 docs/antonia_iaquinta_resume.docx diff --git a/docs/antonia_iaquinta_resume.docx b/docs/antonia_iaquinta_resume.docx new file mode 100644 index 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