Performance analysis of beach volleyball match outcomes A validated efficiency-based prediction model from 10,095 AVP/FIVB matches
Main Article Content
Abstract
Predicting the outcomes of elite beach volleyball matches involves the integration of technical and demographic performance measures. Using data from 10,095 elite professional beach volleyball matches (2002-2019), a logistic regression model was developed and validated to predict match outcome with six different predictor variables: kill efficiency differential, aces differential, error rate differential, dig efficiency differential, age difference, and height difference. After assessing for multicollinearity, these variables were used in the model. Results show that the model is well-calibrated (Brier Score = 0.208; Hosmer-Lemeshow test = 0.388), and it discriminates well between the two possible outcomes (area under curve = 0.658; 95% confidence interval: 0.638 – 0.678). In addition to being well calibrated, results also indicate that the model is internally valid, with little evidence of over fitting (shrinkage = 0.995), and temporally valid, as its ability to predict match outcomes has remained relatively consistent across the 18-year period studied. Additionally, results from gender stratified analysis indicated no differences in predictive accuracy for males and females. Overall, the validated model can be viewed as a robust support tool to assist coaches and teams with performance evaluations, strategic planning and competitive placements.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
References
Albert, J. (2008). Streaky Hitting in Baseball. Journal of Quantitative Analysis in Sports, 4(1). https://doi.org/10.2202/1559-0410.1085 DOI: https://doi.org/10.2202/1559-0410.1085
Almulla, J., & Alam, T. (2020). Machine Learning Models Reveal Key Performance Metrics of Football Players to Win Matches in Qatar Stars League. IEEE Access, 8, 213695-213705. https://doi.org/10.1109/ACCESS.2020.3038601 DOI: https://doi.org/10.1109/ACCESS.2020.3038601
Alves, H., Voss, M.W., Boot, W.R., Deslandes, A., Cossich, V., Salles, J.I. and Kramer, A.F. (2013). Perceptual-Cognitive Expertise in Elite Volleyball Players. Frontiers in Psychology, 4. https://doi.org/10.3389/fpsyg.2013.00036 DOI: https://doi.org/10.3389/fpsyg.2013.00036
Beach Volleyball. (n.d.). Www.kaggle.com. Retrieved from [Accessed 2026, 11 March]: https://www.kaggle.com/datasets/jessemostipak/beach-volleyball
Bisagno, E., & Morra, S. (2018). How do we learn to "kill" in volleyball?: The role of working memory capacity and expertise in volleyball motor learning. Journal of Experimental Child Psychology, 167, 128-145. https://doi.org/10.1016/j.jecp.2017.10.008 DOI: https://doi.org/10.1016/j.jecp.2017.10.008
Buková, A., Zusková, K., Szerdiová, L., & Küchelová, Z. (2017). Demographic factors and physical activity of female undergraduates. Physical Activity Review, 5, 202-211. https://doi.org/10.16926/par.2017.05.25 DOI: https://doi.org/10.16926/par.2017.05.25
Cañal-Bruland, R. (2011). Differentiating Experts' Anticipatory Skills in Beach Volleyball. Research Quarterly for Exercise and Sport, 82(4). https://doi.org/10.5641/027013611X13275192111745 DOI: https://doi.org/10.5641/027013611X13275192111745
Choi, K. H., & Byun, J. (2024). Professionalization of action sports: field-and organizational-level professionalization of new Olympic sports. Sport in Society, 1-24. https://doi.org/10.1080/17430437.2024.2325970 DOI: https://doi.org/10.1080/17430437.2024.2325970
Chun, Y.-J., & Shin, H.-J. (2020). Defensive Tactical Analysis of Back Attack in Men's Professional Volleyball Match. Korean Journal of Sports Science, 29(1), 773-781. https://doi.org/10.35159/kjss.2020.02.29.1.773 DOI: https://doi.org/10.35159/kjss.2020.02.29.1.773
Collins, G. S., Moons, K. G. M., Dhiman, P., Riley, R. D., Beam, A. L., Ben Van Calster, Ghassemi, M., Liu, X., Reitsma, J. B., Maarten van Smeden, Anne-Laure Boulesteix, Jennifer Catherine Camaradou, Leo Anthony Celi, Spiros Denaxas, Denniston, A. K., Glocker, B., Golub, R. M., Harvey, H., Heinze, G., & Hoffman, M. M. (2024). TRIPOD+AI statement: updated guidance for reporting clinical prediction models that use regression or machine learning methods. BMJ, e078378-e078378. https://doi.org/10.1136/bmj-2023-078378 DOI: https://doi.org/10.1136/bmj-2023-078378
Csató, L. (2023). A paradox of tournament seeding. International Journal of Sports Science & Coaching, 18(4), 1277-1284. https://doi.org/10.1177/17479541221141617 DOI: https://doi.org/10.1177/17479541221141617
DeLong, E. R., DeLong, D. M., & Clarke-Pearson, D. L. (1988). Comparing the areas under two or more correlated receiver operating characteristic curves: a nonparametric approach. Biometrics, 837-845. https://doi.org/10.2307/2531595 DOI: https://doi.org/10.2307/2531595
Giatsis, G., Lola, A., Hatzimanouil, D., & Tzetzis, G. (2023). Evaluation of a beach volleyball skill instrument for the line shot attack. Journal of Physical Education, 34(1). https://doi.org/10.4025/jphyseduc.v34i1.3409 DOI: https://doi.org/10.4025/jphyseduc.v34i1.3409
Grgantov, Z., Jelaska, I., & Šuker, D. (2018). Intra and Interzone Differences of Attack and Counterattack Efficiency in Elite Male Volleyball. Journal of Human Kinetics, 65(1), 205-212. https://doi.org/10.2478/hukin-2018-0028 DOI: https://doi.org/10.2478/hukin-2018-0028
Iba, K., Shinozaki, T., Maruo, K., & Noma, H. (2021). Re-evaluation of the comparative effectiveness of bootstrap-based optimism correction methods in the development of multivariable clinical prediction models. BMC Medical Research Methodology, 21(1). https://doi.org/10.1186/s12874-020-01201-w DOI: https://doi.org/10.1186/s12874-020-01201-w
Kheddoum, A., Hadji, M. L., & Khaled, M. (2025). Creating An App To Measure Decision-Making In Volleyball. 403. https://doi.org/10.37139/1988-017-001-032 DOI: https://doi.org/10.37139/1988-017-001-032
Kianifard, F., & Vach, W. (1995). Logistic Regression with Missing Values in the Covariates. Technometrics, 37(4), 460. https://doi.org/10.2307/1269744 DOI: https://doi.org/10.2307/1269744
Knoblochova, M., Mudrak, J., & Slepicka, P. (2021). Achievement goal orientations, sport motivation and competitive performance in beach volleyball players. Acta Gymnica. https://doi.org/10.5507/ag.2021.016 DOI: https://doi.org/10.5507/ag.2021.016
Kostyukov, V., & Dashaev, K. (2022). Block-modular program of pre-competitive training of athletes of mass categories in beach volleyball. Fizicheskaya Kul'tura, Sport - Nauka I Praktika, 1, 52-57. https://doi.org/10.53742/1999-6799/1_2022_52 DOI: https://doi.org/10.53742/1999-6799/1_2022_52
Künzell, S., Schweikart, F., Köhn, D., & Schläppi-Lienhard, O. (2014). Effectiveness of the Call in Beach Volleyball Attacking Play. Journal of Human Kinetics, 44(1), 183-191. https://doi.org/10.2478/hukin-2014-0124 DOI: https://doi.org/10.2478/hukin-2014-0124
Liu, W. B., Wu, Y. J., Li, B., & Deng, L. (2012). Model Analysis of Analysis and Evaluation about NBA Match. Advanced Materials Research, 468, 1516-1520. https://doi.org/10.4028/www.scientific.net/AMR.468-471.1516 DOI: https://doi.org/10.4028/www.scientific.net/AMR.468-471.1516
McHale, I. G., Scarf, P. A., & Folker, D. E. (2012). On the Development of a Soccer Player Performance Rating System for the English Premier League. Interfaces, 42(4), 339-351. https://doi.org/10.1287/inte.1110.0589 DOI: https://doi.org/10.1287/inte.1110.0589
Nattino, G., Pennell, M. L., & Lemeshow, S. (2020). Rejoinder to "Assessing the goodness of fit of logistic regression models in large samples: A modification of the Hosmer-Lemeshow test." Biometrics. https://doi.org/10.1111/biom.13250 DOI: https://doi.org/10.1111/biom.13250
Pencina, M. J., D' Agostino, R. B., D' Agostino, R. B., & Vasan, R. S. (2007). Evaluating the added predictive ability of a new marker: From area under the ROC curve to reclassification and beyond. Statistics in Medicine, 27(2), 157-172. https://doi.org/10.1002/sim.2929 DOI: https://doi.org/10.1002/sim.2929
Phillips, J., B. Caudill, S., & Mixon, F. G. (2015). Tournament Seeding Efficiency and Home Court Advantage: College Basketball's National Invitation Tournament. International Journal of Statistics and Probability, 4(3). https://doi.org/10.5539/ijsp.v4n3p101 DOI: https://doi.org/10.5539/ijsp.v4n3p101
Predoiu, R. (2023). Resilience, Risk-Taking Behavior and Aggression among Female Volleyball Players - a Preliminary Study. Journal of Psychological Science and Research, 3(2). https://doi.org/10.53902/JPSSR.2023.03.000542 DOI: https://doi.org/10.53902/JPSSR.2023.03.000542
Saif, Mohd., Khan, S., & Abraham, B. (2025). Basic Defensive Stance in Volleyball. International Journal for Multidisciplinary Research, 7(5). https://doi.org/10.36948/ijfmr.2025.v07i05.55848 DOI: https://doi.org/10.36948/ijfmr.2025.v07i05.55848
Schelling, X., & Robertson, S. (2020). A development framework for decision support systems in high-performance sport. International Journal of Computer Science in Sport, 19(1), 1-23. https://doi.org/10.2478/ijcss-2020-0001 DOI: https://doi.org/10.2478/ijcss-2020-0001
Schelling, X., Fernández, J., Ward, P., Fernández, J., & Robertson, S. (2021). Decision Support System Applications for Scheduling in Professional Team Sport. The Team's Perspective. Frontiers in Sports and Active Living, 3. https://doi.org/10.3389/fspor.2021.678489 DOI: https://doi.org/10.3389/fspor.2021.678489
Seweryniak, T., Mroczek, D., & Łukasik, Ł. (2013). Analysis and Evaluation of Defensive Team Strategies in Women's Beach Volleyball - An Efficiency-Based Approach. Human Movement, 14(1). https://doi.org/10.2478/v10038-012-0047-9 DOI: https://doi.org/10.2478/v10038-012-0047-9
Solomon, C., & van Coller-Peter, S. (2019). How coaching aligns the psychological contract between the young millennial professional and the organisation. SA Journal of Human Resource Management, 17. https://doi.org/10.4102/sajhrm.v17i0.1146 DOI: https://doi.org/10.4102/sajhrm.v17i0.1146
Tili, M., & Giatsis, G. (2011). The height of the men's winners FIVB Beach Volleyball in relation to specialization and court dimensions. Journal of Human Sport and Exercise, 6(3), 504-510. https://doi.org/10.4100/jhse.2011.63.04 DOI: https://doi.org/10.4100/jhse.2011.63.04
Umarov, K. M. (2024). Effectiveness of Developing the Technique of Attacking Movements of Young Volleyball Players. Pubmedia Jurnal Pendidikan Olahraga, 1(3). https://doi.org/10.47134/jpo.v1i3.361 DOI: https://doi.org/10.47134/jpo.v1i3.361
Yusni, Y., Meutia, F., & Taufik, N. H. (2025). Advantageous Correlation Between Anthropometry and Physical Fitness in Amateur Soccer Players. Retos, 67, 985-995. https://doi.org/10.47197/retos.v67.112998 DOI: https://doi.org/10.47197/retos.v67.112998
Zhao, H. (2018). Sports Situation-Based Neural Mechanism of High-level Volleyball Players' Decision-making Behavior. NeuroQuantology, 16(6). https://doi.org/10.14704/nq.2018.16.6.1602 DOI: https://doi.org/10.14704/nq.2018.16.6.1602
Zhou, S., & Liu, H. (2025). Injury risk analysis of movement restriction and body asymmetry in sports injury prediction. BMC Sports Science, Medicine and Rehabilitation, 18(1). https://doi.org/10.1186/s13102-025-01465-z DOI: https://doi.org/10.1186/s13102-025-01465-z