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Bayesian statistics meets sports: a comprehensive review

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  • Santos-Fernandez Edgar

    (Queensland University of Technology, Faculty of Science and Engineering, School of Mathematical Sciences, Y Block, Floor 8, Gardens Point Campus Queensland University of Technology, GPO Box 2434, Brisbane, Queensland, Australia, e-mail: santosfe@qut.edu.au)

  • Wu Paul

    (Queensland University of Technology, Faculty of Science and Engineering, School of Mathematical Sciences, Brisbane, Queensland, Australia)

  • Mengersen Kerrie L.

    (Queensland University of Technology, Faculty of Science and Engineering, School of Mathematical Sciences, Brisbane, Queensland, Australia)

Abstract

Bayesian methods are becoming increasingly popular in sports analytics. Identified advantages of the Bayesian approach include the ability to model complex problems, obtain probabilistic estimates and predictions that account for uncertainty, combine information sources and update learning as new data become available. The volume and variety of data produced in sports activities over recent years and the availability of software packages for Bayesian computation have contributed significantly to this growth. This comprehensive survey reviews and characterizes the latest advances in Bayesian statistics in sports, including methods and applications. We found that a large proportion of these articles focus on modeling/predicting the outcome of sports games and on the development of statistics that provides a better picture of athletes’ performance. We provide a description of some of the advances in basketball, football and baseball. We also summarise the sources of data used for the analysis and the most commonly used software for Bayesian computation. We found a similar number of publications between 2013 and 2018 as compared to those published in the three previous decades, which is an indication of the growing adoption rate of Bayesian methods in sports.

Suggested Citation

  • Santos-Fernandez Edgar & Wu Paul & Mengersen Kerrie L., 2019. "Bayesian statistics meets sports: a comprehensive review," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 15(4), pages 289-312, December.
  • Handle: RePEc:bpj:jqsprt:v:15:y:2019:i:4:p:289-312:n:5
    DOI: 10.1515/jqas-2018-0106
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    1. Koulis Theodoro & Muthukumarana Saman & Briercliffe Creagh Dyson, 2014. "A Bayesian stochastic model for batting performance evaluation in one-day cricket," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 10(1), pages 1-13, January.
    2. Silva Rajitha M. & Swartz Tim B., 2016. "Analysis of substitution times in soccer," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 12(3), pages 113-122, September.
    3. Stephenson Alec G. & Tawn Jonathan A., 2013. "Determining the Best Track Performances of All Time Using a Conceptual Population Model for Athletics Records," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 9(1), pages 67-76, March.
    4. Mark E. Glickman, 1999. "Parameter Estimation in Large Dynamic Paired Comparison Experiments," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 48(3), pages 377-394.
    5. Stevenson Oliver George & Brewer Brendon J., 2017. "Bayesian survival analysis of batsmen in Test cricket," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 13(1), pages 25-36, March.
    6. Neal Dan & Tan James & Hao Feng & Wu Samuel S, 2010. "Simply Better: Using Regression Models to Estimate Major League Batting Averages," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 6(3), pages 1-14, July.
    7. Shortridge Ashton & Goldsberry Kirk & Adams Matthew, 2014. "Creating space to shoot: quantifying spatial relative field goal efficiency in basketball," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 10(3), pages 303-313, September.
    8. Gramacy Robert B. & Jensen Shane T. & Taddy Matt, 2013. "Estimating player contribution in hockey with regularized logistic regression," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 9(1), pages 97-111, March.
    9. Albert Jim, 2008. "Streaky Hitting in Baseball," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 4(1), pages 1-34, January.
    10. Mark Glickman, 2001. "Dynamic paired comparison models with stochastic variances," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(6), pages 673-689.
    11. Glickman Mark E. & Hennessy Jonathan, 2015. "A stochastic rank ordered logit model for rating multi-competitor games and sports," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 11(3), pages 131-144, September.
    12. Ruiz Francisco J. R. & Perez-Cruz Fernando, 2015. "A generative model for predicting outcomes in college basketball," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 11(1), pages 39-52, March.
    13. Wimmer Valentin & Fenske Nora & Pyrka Patricia & Fahrmeir Ludwig, 2011. "Exploring Competition Performance in Decathlon Using Semi-Parametric Latent Variable Models," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 7(4), pages 1-21, October.
    14. Deshpande Sameer K. & Jensen Shane T., 2016. "Estimating an NBA player’s impact on his team’s chances of winning," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 12(2), pages 51-72, June.
    15. Golnaz Shahtahmassebi & Rana Moyeed, 2016. "An application of the generalized Poisson difference distribution to the Bayesian modelling of football scores," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 70(3), pages 260-273, August.
    16. Siem Jan Koopman & Rutger Lit, 2015. "A dynamic bivariate Poisson model for analysing and forecasting match results in the English Premier League," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 178(1), pages 167-186, January.
    17. Sturtz, Sibylle & Ligges, Uwe & Gelman, Andrew, 2005. "R2WinBUGS: A Package for Running WinBUGS from R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 12(i03).
    18. McShane Blakeley B. & Braunstein Alexander & Piette James & Jensen Shane T., 2011. "A Hierarchical Bayesian Variable Selection Approach to Major League Baseball Hitting Metrics," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 7(4), pages 1-26, October.
    19. Daniel Cervone & Alex D’Amour & Luke Bornn & Kirk Goldsberry, 2016. "A Multiresolution Stochastic Process Model for Predicting Basketball Possession Outcomes," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(514), pages 585-599, April.
    20. Miskin Michelle A & Fellingham Gilbert W & Florence Lindsay W, 2010. "Skill Importance in Women's Volleyball," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 6(2), pages 1-14, April.
    21. Visser, Ingmar & Speekenbrink, Maarten, 2010. "depmixS4: An R Package for Hidden Markov Models," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 36(i07).
    22. A K Suzuki & L E B Salasar & J G Leite & F Louzada-Neto, 2010. "A Bayesian approach for predicting match outcomes: The 2006 (Association) Football World Cup," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(10), pages 1530-1539, October.
    23. Tae Young Yang, 2004. "Bayesian binary segmentation procedure for detecting streakiness in sports," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 167(4), pages 627-637, November.
    24. Kovalchik Stephanie A. & Albert Jim, 2017. "A multilevel Bayesian approach for modeling the time-to-serve in professional tennis," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 13(2), pages 49-62, June.
    25. Thomas Andrew C, 2006. "The Impact of Puck Possession and Location on Ice Hockey Strategy," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 2(1), pages 1-19, January.
    26. Gianluca Baio & Marta Blangiardo, 2010. "Bayesian hierarchical model for the prediction of football results," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(2), pages 253-264.
    27. Albert Jim, 2016. "Improved component predictions of batting and pitching measures," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 12(2), pages 73-85, June.
    28. Leonardo Lamas & Felipe Santana & Matthew Heiner & Carlos Ugrinowitsch & Gilbert Fellingham, 2015. "Modeling the Offensive-Defensive Interaction and Resulting Outcomes in Basketball," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-14, December.
    29. Martin, Andrew D. & Quinn, Kevin M. & Park, Jong Hee, 2011. "MCMCpack: Markov Chain Monte Carlo in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 42(i09).
    30. Matt Taddy, 2013. "Multinomial Inverse Regression for Text Analysis," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(503), pages 755-770, September.
    31. Baker, Rose D. & McHale, Ian G., 2017. "An empirical Bayes model for time-varying paired comparisons ratings: Who is the greatest women’s tennis player?," European Journal of Operational Research, Elsevier, vol. 258(1), pages 328-333.
    32. Murray Thomas A., 2017. "Ranking ultimate teams using a Bayesian score-augmented win-loss model," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 13(2), pages 63-78, June.
    33. Alessandro Liberati & Douglas G Altman & Jennifer Tetzlaff & Cynthia Mulrow & Peter C Gøtzsche & John P A Ioannidis & Mike Clarke & P J Devereaux & Jos Kleijnen & David Moher, 2009. "The PRISMA Statement for Reporting Systematic Reviews and Meta-Analyses of Studies That Evaluate Health Care Interventions: Explanation and Elaboration," PLOS Medicine, Public Library of Science, vol. 6(7), pages 1-28, July.
    34. Rose D. Baker & Ian G. McHale, 2015. "Deterministic Evolution of Strength in Multiple Comparisons Models: Who is the Greatest Golfer?," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 42(1), pages 180-196, March.
    35. Cafarelli Ryan & Rigdon Christopher J. & Rigdon Steven E., 2012. "Models for Third Down Conversion in the National Football League," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 8(3), pages 1-26, October.
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