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Activity Number: 243 - Statistics in Sports and Beyond
Type: Contributed
Date/Time: Wednesday, August 11, 2021 : 10:00 AM to 11:50 AM
Sponsor: Section on Statistics in Sports
Abstract #318150
Title: Zero-Inflated Poisson Model with Clustered Regression Coefficients: An Application to Heterogeneity Learning of Field Goal Attempts of Professional Basketball Players
Author(s): Hou-Cheng Yang*
Companies: FDA
Keywords: Bayesian Nonparametric; MCMC; Mixture of Finite Mixtures; Model Based Clustering; sport statistics

Although basketball is a dynamic process sport, with 5 plus 5 players competing on both offense and defense simultaneously, learning some static information is predominant for professional players, coaches and team mangers. In order to have a deep understanding of field goal attempts among different players, we propose a zero inflated Poisson model with clustered regression coefficients to learn the shooting habits of different players over the court and the heterogeneity among them. Specifically, the zero inflated model recovers the large proportion of the court with zero field goal attempts, and the mixture of finite mixtures model learn the het- erogeneity among different players based on clustered regression coefficients and inflated prob- abilities. Both theoretical and empirical justification through simulation studies validate our pro- posed method. We apply our proposed model to the National Basketball Association (NBA), for learning players’ shooting habits and heterogeneity among different players over the 2017–2018 regular season. This illustrates our model as a way of providing insights from different aspects.

Authors who are presenting talks have a * after their name.

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