Bayesian estimation of in-game home team win probability for college basketball

Author:

Maddox Jason T.1,Sides Ryan2,Harvill Jane L.3ORCID

Affiliation:

1. Sport Management , Syracuse University , Syracuse , NY , USA

2. Mathematics and Computer Science , Texas Woman’s University , Denton , TX , USA

3. Statistical Science , Baylor University , Waco , TX , USA

Abstract

Abstract Two new Bayesian methods for estimating and predicting in-game home team win probabilities in Division I NCAA men’s college basketball are proposed. The first method has a prior that adjusts as a function of lead differential and time elapsed. The second is an adjusted version of the first, where the adjustment is a linear combination of the Bayesian estimator with a time-weighted pregame win probability. The proposed methods are compared to existing methods, showing the new methods are competitive with or outperform existing methods for both estimation and prediction. The utility is illustrated via an application to the 2012/2013 through the 2019/2020 NCAA Division I Men’s Basketball seasons.

Publisher

Walter de Gruyter GmbH

Subject

Decision Sciences (miscellaneous),Social Sciences (miscellaneous)

Reference21 articles.

1. Adams, T. 2019. Improving Your NCAA Bracket with Statistics. Boca Raton: CRC Press.

2. Bashuk, M. 2012. “Using Cumulative Win Probabilities to Predict NCAA Basketball Performance.” In MIT Sloan Sports Analytics Conference. Also available at http://www.sloansportsconference.com/wp-content/uploads/2012/02/Using-C umulative-Win-Probabilities-to-Predict-NCAA-Performance-Bashuk.pdf.

3. Benz, L. 2019. A New Ncaahoopr Win Probability Model. Also available at https://lukebenz.com/post/ncaahoopr_win_prob.

4. Chen, T., and Q. Fan. 2018. “A Functional Data Approach to Model Score Difference Process in Professional Basketball Games.” Journal of Applied Statistics 45: 112–27. https://doi.org/10.1080/02664763.2016.1268106.

5. Cooper, H., K. M. DeNeve, and F. Mosteller. 1992. “Predicting Professional Game Outcomes from Intermediate Game Scores.” Chance 5 (3–4): 18–22. https://doi.org/10.1080/09332480.1992.10554981.

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