Statistical comparisons and creation of rankings of performance of basketball players
DOI:
https://doi.org/10.47197/retos.v55.103749Keywords:
performance, basketball, advanced statistics, estimation error, rankingsAbstract
This research has proposed a method to perform rankings of basketball players based on normalized statistical metrics from the box-score. By considering the error of each estimate, taking the number of regular season games as a finite population, this method is much more robust and rigorous than simple comparisons of specific average values. Through the analysis of each match of the 2020/21 NBA regular season, the 72 matches of each of the 30 teams in the competition were recorded, obtaining 22989 different records, which in turn were linked to dozens of performance indicators in the match. The results show that, indeed, the method based on inferential statistics and development of rankings using normalized metrics provides advantages for making a much more rigorous comparison of player performance.
Keywords: performance, basketball, advanced statistics, estimation error, rankings
References
Abbas, N. M. (2019, agosto 13). NBA data analytics: Changing the game. Descargado desde: https://towardsdatascience.com/nba-data-analytics-changing-the-game-a9ad59d1f116
Arkes, J. & Martínez, J. A. (2011). Finally, Evidence for a Momentum Effect in the NBA. Journal of Quantitative Analysis in Sports, 7(3), 1–14. https://doi.org/10.2202/1559-0410.1304
Berri, D. J., & Bradbury, J. C. (2010). Working in the land of metricians. Journal of Sports Economics, 11(1), 29-47. https://doi.org/10.1177/15270025093548
Berri, D. J., & Schmidt, M. B. (2010). Stumbling on wins: Two economists expose the pitfalls on the road to victory in professional sports. FT Press
Berri, D. J. (2012). Measuring performance in the National Basketball Association. InStephen Shmanske, S. and Kahane, L. (Eds): The Handbook of Sports Economics. Oxford University
Casals, M. & Martínez, J. A. (2013). Modelling player performance in basketball through mixed models. International Journal of Performance Analysis in Sports, 13 (1), 64-82. https://doi.org/10.1080/24748668.2013.11868632
Deeks, M. (2022, diciembre 31). Have Shooting Specialists Become Overvalued In The NBA?. Descargado desde: https://www.forbes.com/sites/markdeeks/2022/12/31/have-shooting-specialists-become-overvalued-in-the-nba/?sh=3a638f1f2e65
Deshpande, S. & Jensen, S. (2016). Estimating an NBA player’s impact on his team’s chances of winning. Journal of Quantitative Analysis in Sports, 12(2), 51-72. https://doi.org/10.1515/jqas-2015-0027
Dowsett, B. (2023, octubre 20). ‘An exciting next few years’: will Hawk-Eye spark an NBA data revolution? Descargado desde: https://www.theguardian.com/sport/2023/oct/20/nba-hawkeye-data-analytics-insights
Duque Ramos, V. H., Reina Román, M., Mancha Triguero, D., Ibáñez Godoy, S. J., & Saenz Lopez, P. (2021). Relación de la carga de entrenamiento con las emociones y el rendimiento en baloncesto formativo (Relation of training load with emotions and performance in formative basketball). Retos, 40, 164–173. https://doi.org/10.47197/retos.v1i40.82441
Ertug, G. &. Castellucci, F. (2013). Getting what you need: How reputation and status affect team performance, hiring, and salaries in the NBA. Academy of Management Journal, 56 (2), 407–431. https://doi.org/10.5465/amj.2010.1084
Grenha, P., Moura, J., Guimarães, E., Fonseca, P., Sousa, F., & Janeira, M. (2022). Efectos de un programa de autoentrenamiento sobre el rendimiento y cinemática de tiro en jóvenes jugadores de baloncesto: un caso de estudio (Effects of a self-training program on shooting performance and kinematics in young basketball players: a case stu. Retos, 43, 256–263. https://doi.org/10.47197/retos.v43i0.87380
Hollinger J. (2005). Pro Basketball Forecast, 2005–06. Washington, DC: Potomac
Katris C. (2023). Investigation of FIBA World Cup 2019 Evidence Using Advanced Statistical Analysis and Quantitative Tools. Engineering Proceedings, 39 (1), 85. https://doi.org/10.3390/engproc2023039085
Kubatko, J., Oliver, D., Pelton, K. & Rosenbaum, D. (2007). A Starting Point for Analyzing Basketball Statistics. Journal of Quantitative Analysis in Sports, 3(3). https://doi.org/10.2202/1559-0410.1070
Kula, F. & Koçer, R. G. (2020). Why is it difficult to understand statistical inference? Reflections on the opposing directions of construction and application of inference framework, Teaching Mathematics and its Applications: An International Journal of the IMA, 39(4), 248-265. https://doi.org/10.1093/teamat/hrz014
Lamas, L., Santana, F., Heiner, M., Ugrinowitsch, C. & Fellingham, G. (2015) Modeling the Offensive-Defensive Interaction and Resulting Outcomes in Basketball. PLoS ONE 10 (12): e0144435. https://doi.org/10.1371/journal.pone.0144435
Lewis, M. M. (2003). Moneyball: The art of winning an unfair game. W.W. Norton & Company Inc.
Martínez, J. A. (2012). Factors determining production (FDP) in basketball. Economic & Business Letters, 1(1), 21-29. https://doi.org/10.17811/ebl.1.1.2012.21-29
Martínez, J. A. (2019). A more robust estimation and extension of factors determining production (FDP) of basketball players. International Journal of Physical Education, Sports and Health, 6(3), 81-85.
Martínez, J. A. & Martínez, L. (2010). Un método probabilístico para las clasificaciones estadísticas de jugadores en baloncesto. Revista Internacional de Ciencias del Deporte. 18(6), 3-36.
Papadaki, I. & Tsagris, M. (2022). Are NBA Players’ Salaries in Accordance with Their Performance on Court?. In: Terzioğlu, M.K. (eds) Advances in Econometrics, Operational Research, Data Science and Actuarial Studies. Contributions to Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-85254-2_25
Pradhan, S. (2018). Ranking regular seasons in the NBA’s Modern Era using grey relational analysis. Journal of Sports Analytics, 4(1), 31-63. https://doi.org/10.3233/JSA-160165
Pradhan, S. & Chachad, R. (2021) Re-ranking regular seasons in the National Basketball Association’s modern era : A replication and extension of Pradhan (2018). Journal of Statistics and Management Systems, 24 (7), 1503-1522. https://doi.org/10.1080/09720510.2020.1848040
Sigler, K. J. & Sackley, W. H. (2000), NBA players: are they paid for performance? Managerial Finance, 26 (7), 46-51. https://doi.org/10.1108/03074350010766783
Tener, Z. & Franks, A. (2021). Modeling Player and Team Performance in Basketball. Annual Review of Statistics and Its Application, 8(1), 1-23. https://doi.org/10.1146/annurev-statistics-040720-015536
Wilson, F. (2018, noviembre 14 ). Why don’t we understand statistics? Fixed mindsets may be to blame Descargado desde: https://www.frontiersin.org/news/2018/11/14/mathematics-statistics-education/
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Retos

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and ensure the magazine the right to be the first publication of the work as licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of authorship of the work and the initial publication in this magazine.
- Authors can establish separate additional agreements for non-exclusive distribution of the version of the work published in the journal (eg, to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Is allowed and authors are encouraged to disseminate their work electronically (eg, in institutional repositories or on their own website) prior to and during the submission process, as it can lead to productive exchanges, as well as to a subpoena more Early and more of published work (See The Effect of Open Access) (in English).
This journal provides immediate open access to its content (BOAI, http://legacy.earlham.edu/~peters/fos/boaifaq.htm#openaccess) on the principle that making research freely available to the public supports a greater global exchange of knowledge. The authors may download the papers from the journal website, or will be provided with the PDF version of the article via e-mail.