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A multilevel Bayesian approach for modeling the time-to-serve in professional tennis

  • Stephanie A. Kovalchik EMAIL logo and Jim Albert


Temporal characteristics have been a main area of focus in the study of pre-performance routines in elite sports. Ball and player tracking data is currently available that precisely measures service preparation times in professional tennis. However, this data has yet to be utilized for studying service pre-performance routines. In this paper, we present a Bayesian multilevel model of the time-to-serve in a professional tennis match, which includes heterogeneous means, variances and covariate effects. Applying the model to a sample of serves played at the 2016 Australian Open reveals that the typical time-to-serve was 19 s for male players and 20 s for female players. Point importance and the length of the previous rally account for approximately 15% of the within-match variance. However, even with this adjustment, within-match variation is notably larger than between-player variation, 60% greater for men and 30% greater for women. The proposed Bayesian modeling approach is demonstrated to be a useful tool for analyzing in-competition temporal data on preparation time for tennis and other sports.


Bal, B. and G. Dureja. 2012. “Hawk Eye: A Logical Innovative Technology Use in Sports for Effective Decision Making.” Sport Science Review 21(1–2):107–119.10.2478/v10237-012-0006-6Search in Google Scholar

Bell, R., W. Finch, and Z. Whitaker. 2010. “Duration of Pre-performance Routines of Divers and Performance Outcomes.” The Sport Journal 13(1):1.Search in Google Scholar

Boutcher, S. H. 1990. “The Role of Performance Routines in Sport.” In Stress and performance in sport, Edited by: Jones, J.G. and Hardy, L. 231–245. New York: J. Wiley.Search in Google Scholar

Boutcher, S. H. and N. W. Zinsser. 1990. “Cardiac Deceleration of Elite and Beginning Golfers During Putting.” Journal of Sport & Exercise Psychology 12(1):37–47.10.1123/jsep.12.1.37Search in Google Scholar

Callaway, A. J., J. Wiedlack, and M. Heller. 2016. “Identification of Temporal Factors Related to Shot Performance for Indoor Recurve Archery.” Journal of Sports Sciences 35(12):1142–1147.10.1080/02640414.2016.1211730Search in Google Scholar PubMed

Cotterill, S. 2010. “Pre-performance Routines in Sport: Current Understanding and Future Directions.” International Review of Sport and Exercise Psychology 3(2):132–153.10.1080/1750984X.2010.488269Search in Google Scholar

Crews, D. J. and S. H. Boutcher. 1986. “An Exploratory Observational Behavior Analysis of Professional Golfers During Competition.” Journal of Sport Behavior 9(2):51.Search in Google Scholar

Gayton, W. F., K. L. Cielinski, W. J. Francis-Keniston, and J. F. Hearns. 1989. “Effects of Preshot Routine on Free-Throw Shooting.” Perceptual and Motor Skills 68(1):317–318.10.2466/pms.1989.68.1.317Search in Google Scholar PubMed

Gelman, A. 2006. “Prior Distributions for Variance Parameters in Hierarchical Models.” Bayesian Analysis 1(3):515–533.Search in Google Scholar

Gentner, N. B., T. J. McGraw, S. Gonzalez, and D. R. Czech. 2008. “An Examination of Preservice Routines of Elite Tennis Players.” The Sport Journal 11(4):1.Search in Google Scholar

Hawk-Eye Innovations. 2016. in Google Scholar

Le Lobmeyer, D. and E. Wasserman. 1986. “Preliminaries to Free Throw Shooting: Superstitious Behavior.” Journal of Sport Behavior 9(2):70.Search in Google Scholar

Loehr, J. 1986. “Mental toughness training for sports: Achieving athletic excellence.” New York, NY: Plume.Search in Google Scholar

Lonsdale, C. and J. T. Tam. 2008. “On the Temporal and Behavioural Consistency of Pre-performance Routines: An Intra-individual Analysis of Elite Basketball Players’ Free Throw Shooting Accuracy.” Journal of sports sciences 26(3):259–266.10.1080/02640410701473962Search in Google Scholar PubMed

Mesagno, C. and T. Mullane-Grant. 2010. “A Comparison of Different Pre-performance Routines as Possible Choking Interventions.” Journal of Applied Sport Psychology 22(3):343–360.10.1080/10413200.2010.491780Search in Google Scholar

Morris, C. 1977. “The Most Important Points in Tennis.” Optimal Strategies in Sports 5:131–140.Search in Google Scholar

O’Donoghue, P. G. 2001. “The Most Important Points in Grand Slam Singles Tennis.” Research Quarterly for Exercise and Sport 72(2):125–131.10.1080/02701367.2001.10608942Search in Google Scholar PubMed

Southard, D. and B. Amos. 1996. “Rhythmicity and Preperformance Ritual: Stabilizing a Flexible System.” Research Quarterly for Exercise and Sport 67(3):288–296.10.1080/02701367.1996.10607956Search in Google Scholar PubMed

Southard, D. and A. Miracle. 1993. “Rhythmicity, Ritual, and Motor Performance: A Study of Free Throw Shooting in Basketball.” Research Quarterly for Exercise and Sport 64(3):284–290.10.1080/02701367.1993.10608812Search in Google Scholar PubMed

Spiegelhalter, D. J., N. G. Best, B. P. Carlin, and A. Van Der Linde. 2002. “Bayesian Measures of Model Complexity and Fit.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 64(4):583–639.10.1111/1467-9868.00353Search in Google Scholar

Tennis Abstract. 2017. “Match Charting Project.” in Google Scholar

van der Lei, H., G. Tenenbaum, and W. M. Land. 2016. “Individual Arousal-Related Performance Zones Effect on Temporal and Behavioral Patterns in Golf Routines.” Psychology of Sport and Exercise 26:52–60.10.1016/j.psychsport.2016.06.005Search in Google Scholar

Weinblatt, B. and J. Kuhlman. 1998. “The Consistency of Pre-service Routine as a Predictor of Serve Accuracy.” Psychologist 4:301–312.Search in Google Scholar

Wrisberg, C. A. and R. L. Pein. 1992. “The Preshot Interval and Free Throw Shooting Accuracy: An Exploratory Investigation.” The Sport Psychologist 6(1):14–23.10.1123/tsp.6.1.14Search in Google Scholar

Young, B. and L. Bunker. 1994. The Courtside Coach: A Personal Mental Trainer for Tennis Players. Charlottesville, VA: First Draft Publishing & Graphics.Search in Google Scholar

Young, J. A. and A. J. Pearce. 2011. “Understanding, Developing and Maintaining Mental Toughness in Tennis.” Medicine and Science in Tennis 16(2):18–22.Search in Google Scholar

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Published Online: 2017-6-16
Published in Print: 2017-6-27

©2017 Walter de Gruyter GmbH, Berlin/Boston

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