IDEAS home Printed from https://ideas.repec.org/a/spr/compst/v40y2025i4d10.1007_s00180-024-01556-4.html

The role of the frailty in the evaluation of injury risk factors for National Basketball Association players

Author

Listed:
  • Ambra Macis

    (University of Brescia)

Abstract

Injuries often occur in sports and, due to medical and economic reasons, it is important to understand the factors that mainly affect the risk of experiencing them. This work aims to explore this field in the context of the National Basketball Association (NBA) league. Thus, the main purpose is to identify the main individual players’ characteristics that are associated to a higher risk of suffering an injury in a shorter time, taking into account ten seasons, from the beginning of 2010–2011 season until the end of 2019–2020 season. All the needed information has been retrieved from different big datasets regarding NBA players. The work stands in the survival data analysis framework and, for the purpose, a Cox regression model with frailty has been used. Results suggest that the player’s position and the Body Mass Index have a significant effect on the injury’s risk. From a methodological point of view, this manuscript provides an insight into the role of the frailty in the model, studying its relationship with the residuals of a mispecified Cox model.

Suggested Citation

  • Ambra Macis, 2025. "The role of the frailty in the evaluation of injury risk factors for National Basketball Association players," Computational Statistics, Springer, vol. 40(4), pages 1985-2003, April.
    • Handle: RePEc:spr:compst:v:40:y:2025:i:4:d:10.1007_s00180-024-01556-4
    DOI: 10.1007/s00180-024-01556-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00180-024-01556-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00180-024-01556-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. José Maria Pratas & Anna Volossovitch & Ana Isabel Carita, 2016. "The effect of performance indicators on the time the first goal is scored in football matches," International Journal of Performance Analysis in Sport, Taylor & Francis Journals, vol. 16(1), pages 347-354, April.
    2. Julio Del Corral & Carlos Pestana Barros & Juan Prieto-Rodríguez, 2008. "The Determinants of Soccer Player Substitutions," Journal of Sports Economics, , vol. 9(2), pages 160-172, April.
    3. Wangrow, David B. & Schepker, Donald J. & Barker, Vincent L., 2018. "Power, performance, and expectations in the dismissal of NBA coaches: A survival analysis study," Sport Management Review, Elsevier, vol. 21(4), pages 333-346.
    4. Thomas Andrew C, 2007. "Inter-arrival Times of Goals in Ice Hockey," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 3(3), pages 1-17, July.
    5. David B. Wangrow & Donald J. Schepker & Vincent L. Barker, 2018. "Power, performance, and expectations in the dismissal of NBA coaches: A survival analysis study," Sport Management Review, Taylor & Francis Journals, vol. 21(4), pages 333-346, October.
    6. Andreas Wienke & Konstantin G. Arbeev & Isabella Locatelli & Anatoli I. Yashin, 2003. "A simulation study of different correlated frailty models and estimation strategies," MPIDR Working Papers WP-2003-018, Max Planck Institute for Demographic Research, Rostock, Germany.
    7. Gergely Csurilla & Imre Fertő, 2022. "How long does a medal win last? Survival analysis of the duration of Olympic success," Applied Economics, Taylor & Francis Journals, vol. 54(43), pages 5006-5020, September.
    8. Xiaogang Su & Juanjuan Fan, 2004. "Multivariate Survival Trees: A Maximum Likelihood Approach Based on Frailty Models," Biometrics, The International Biometric Society, vol. 60(1), pages 93-99, March.
    9. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jedelhauser, Fabienne & Flepp, Raphael & Meier, Pascal Flurin & Franck, Egon, 2025. "Does performance pressure accentuate outcome bias? Evidence from managerial dismissals," Journal of Economic Behavior & Organization, Elsevier, vol. 236(C).
    2. Ambra Macis, 2025. "Basketball players performance measurement with algorithmic survival data analysis," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 109(3), pages 529-555, September.
    3. Salaga, Steven & Juravich, Matthew, 2020. "National Football League head coach race, performance, retention, and dismissal," Sport Management Review, Elsevier, vol. 23(5), pages 978-991.
    4. Andreas Wienke, 2003. "Frailty models," MPIDR Working Papers WP-2003-032, Max Planck Institute for Demographic Research, Rostock, Germany.
    5. Jonathan A. Jensen, 2023. "Searching for the "Holy Grail" of sponsorship-linked marketing: A generalizable sponsorship ROI model," Papers 2305.09473, arXiv.org.
    6. Dirk Semmelroth, 2022. "Time to Say Goodbye: A Duration Analysis of the Determinants of Coach Dismissals and Quits in Major League Soccer," Journal of Sports Economics, , vol. 23(1), pages 95-120, January.
    7. Wolfgang Drobetz & Lars Hornuf & Paul P. Momtaz & Niclas Schermann, 2025. "Token-Based Crowdfunding: Investor Choice and the Optimal Timing of Initial Coin Offerings," Entrepreneurship Theory and Practice, , vol. 49(1), pages 232-282, January.
    8. Bagdonavicius, Vilijandas & Nikulin, Mikhail, 2000. "On goodness-of-fit for the linear transformation and frailty models," Statistics & Probability Letters, Elsevier, vol. 47(2), pages 177-188, April.
    9. Yahia Salhi & Pierre-Emmanuel Thérond, 2016. "Age-Specific Adjustment of Graduated Mortality," Working Papers hal-01391285, HAL.
    10. Feehan, Dennis & Wrigley-Field, Elizabeth, 2020. "How do populations aggregate?," SocArXiv 2fkw3, Center for Open Science.
    11. M. K. Lintu & Asha Kamath, 2022. "Performance of recurrent event models on defect proneness data," Annals of Operations Research, Springer, vol. 315(2), pages 2209-2218, August.
    12. Il Do Ha & Maengseok Noh & Youngjo Lee, 2010. "Bias Reduction of Likelihood Estimators in Semiparametric Frailty Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 37(2), pages 307-320, June.
    13. Andreas Wienke & Anne M. Herskind & Kaare Christensen & Axel Skytthe & Anatoli I. Yashin, 2002. "The influence of smoking and BMI on heritability in susceptibility to coronary heart disease," MPIDR Working Papers WP-2002-003, Max Planck Institute for Demographic Research, Rostock, Germany.
    14. Filipe Costa Souza & Wilton Bernardino & Silvio C. Patricio, 2024. "How life-table right-censoring affected the Brazilian social security factor: an application of the gamma-Gompertz-Makeham model," Journal of Population Research, Springer, vol. 41(3), pages 1-38, September.
    15. Svetlana V. Ukraintseva & Anatoli I. Yashin, 2005. "Economic progress as cancer risk factor. I: Puzzling facts of cancer epidemiology," MPIDR Working Papers WP-2005-021, Max Planck Institute for Demographic Research, Rostock, Germany.
    16. Silke van Daalen & Hal Caswell, 2015. "Lifetime reproduction and the second demographic transition: Stochasticity and individual variation," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 33(20), pages 561-588.
    17. K. Motarjem & M. Mohammadzadeh & A. Abyar, 2020. "Geostatistical survival model with Gaussian random effect," Statistical Papers, Springer, vol. 61(1), pages 85-107, February.
    18. Xu, Linzhi & Zhang, Jiajia, 2010. "An EM-like algorithm for the semiparametric accelerated failure time gamma frailty model," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1467-1474, June.
    19. Carlos Díaz-Venegas, 2014. "Identifying the Confounders of Marginalization and Mortality in Mexico, 2003–2007," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 118(2), pages 851-875, September.
    20. Väinö Kannisto, 2000. "Measuring the compression of mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 3(6).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:compst:v:40:y:2025:i:4:d:10.1007_s00180-024-01556-4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.