Development and Analysis of Basketball Statistics

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Authors

Montalvo, Abraham

Date of Issue

2024

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Thesis

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en_US

Subject Keywords

Research Subject Categories::MATHEMATICS::Applied mathematics::Mathematical statistics , Research Subject Categories::MATHEMATICS::Algebra, geometry and mathematical analysis::Mathematical analysis

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Abstract

The development of basketball statistics has been progressive throughout the history of the National Basketball Association. With the nuances of the game, including motion tracker chips in player jerseys, more game film, and more widespread access to statistics than ever, advanced metrics are more necessary than ever to understand the true impact of players on a game-by-game basis, including shooting efficiency and contributions made on the court. By leveraging data from the Basketball Reference database, we will explore the creation of new statistics to further explain the game of basketball and highlight its best and most efficient players. This exploration led to the creation of three new statistics, Total Point Percentage (TP%), Adjusted Total Point Percentage (ATP%), Adjusted Assist-to-Turnover Ratio (AATR), which we later included with our other statistics into a Principal Component Analysis (PCA) model to find likenesses between players and signals of progression over individual careers.

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