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Markov switching modelling of shooting performance variability and teammate interactions in basketball

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  • Marco Sandri
  • Paola Zuccolotto
  • Marica Manisera

Abstract

In basketball, measures of individual player performance provide critical guidance for a broad spectrum of decisions related to training and game strategy. However, most studies on this topic focus on performance level measurement, neglecting other important factors, such as performance variability. Here we model shooting performance variability by using Markov switching models, assuming the existence of two alternating performance regimes related to the positive or negative synergies that specific combinations of players may create on the court. The main goal of this analysis is to investigate the relationships between each player's performance variability and team line‐up composition by assuming shot‐varying transition probabilities between regimes. Relationships between pairs of players are then visualized in a network graph, highlighting positive and negative interactions between teammates. On the basis of these interactions, we build a score for the line‐ups, which we show correlates with the line‐up's shooting performance. This confirms that interactions between teammates detected by the Markov switching model directly affect team performance, which is information that would be enormously useful to coaches when deciding which players should play together.

Suggested Citation

  • Marco Sandri & Paola Zuccolotto & Marica Manisera, 2020. "Markov switching modelling of shooting performance variability and teammate interactions in basketball," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 69(5), pages 1337-1356, November.
  • Handle: RePEc:bla:jorssc:v:69:y:2020:i:5:p:1337-1356
    DOI: 10.1111/rssc.12442
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    References listed on IDEAS

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    1. Metulini Rodolfo & Manisera Marica & Zuccolotto Paola, 2018. "Modelling the dynamic pattern of surface area in basketball and its effects on team performance," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 14(3), pages 117-130, September.
    2. Spezia, Luigi, 2020. "Bayesian variable selection in non-homogeneous hidden Markov models through an evolutionary Monte Carlo method," Computational Statistics & Data Analysis, Elsevier, vol. 143(C).
    3. Arkes Jeremy, 2010. "Revisiting the Hot Hand Theory with Free Throw Data in a Multivariate Framework," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 6(1), pages 1-12, January.
    4. Page Garritt L & Fellingham Gilbert W & Reese C. Shane, 2007. "Using Box-Scores to Determine a Position's Contribution to Winning Basketball Games," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 3(4), pages 1-18, October.
    5. 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).
    6. Piette James & Anand Sathyanarayan & Zhang Kai, 2010. "Scoring and Shooting Abilities of NBA Players," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 6(1), pages 1-25, January.
    7. Ozmen M. Utku, 2012. "Foreign Player Quota, Experience and Efficiency of Basketball Players," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 8(1), pages 1-18, March.
    8. Metulini Rodolfo & Manisera Marica & Zuccolotto Paola, 2018. "Modelling the dynamic pattern of surface area in basketball and its effects on team performance," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 14(3), pages 117-130, September.
    9. Franks Alexander M. & D’Amour Alexander & Cervone Daniel & Bornn Luke, 2016. "Meta-analytics: tools for understanding the statistical properties of sports metrics," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 12(4), pages 151-165, December.
    10. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    11. Page Garritt L. & Barney Bradley J. & McGuire Aaron T., 2013. "Effect of position, usage rate, and per game minutes played on NBA player production curves," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 9(4), pages 337-345, December.
    12. Fearnhead Paul & Taylor Benjamin Matthew, 2011. "On Estimating the Ability of NBA Players," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 7(3), pages 1-18, July.
    13. Cooper, W.W. & Ruiz, José L. & Sirvent, Inmaculada, 2009. "Selecting non-zero weights to evaluate effectiveness of basketball players with DEA," European Journal of Operational Research, Elsevier, vol. 195(2), pages 563-574, June.
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    1. Alessandro Chessa & Pierpaolo D’Urso & Livia Giovanni & Vincenzina Vitale & Alfonso Gebbia, 2023. "Complex networks for community detection of basketball players," Annals of Operations Research, Springer, vol. 325(1), pages 363-389, June.
    2. Seuk Wai Phoong & Seuk Yen Phoong & Shi Ling Khek, 2022. "Systematic Literature Review With Bibliometric Analysis on Markov Switching Model: Methods and Applications," SAGE Open, , vol. 12(2), pages 21582440221, April.
    3. Paola Zuccolotto & Marco Sandri & Marica Manisera, 2023. "Spatial performance analysis in basketball with CART, random forest and extremely randomized trees," Annals of Operations Research, Springer, vol. 325(1), pages 495-519, June.
    4. Rodolfo Metulini & Giorgio Gnecco, 2023. "Measuring players’ importance in basketball using the generalized Shapley value," Annals of Operations Research, Springer, vol. 325(1), pages 441-465, June.
    5. Manlio Migliorati & Marica Manisera & Paola Zuccolotto, 2023. "Integration of model-based recursive partitioning with bias reduction estimation: a case study assessing the impact of Oliver’s four factors on the probability of winning a basketball game," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 107(1), pages 271-293, March.

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