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Journal of Quantitative Analysis in Sports

An official journal of the American Statistical Association

Editor-in-Chief: Steve Rigdon, PhD

4 Issues per year


CiteScore 2017: 0.67

SCImago Journal Rank (SJR) 2017: 0.290
Source Normalized Impact per Paper (SNIP) 2017: 0.853

Online
ISSN
1559-0410
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Volume 13, Issue 1

Issues

Volume 1 (2005)

Bayesian survival analysis of batsmen in Test cricket

Oliver George Stevenson / Brendon J. Brewer
Published Online: 2017-03-17 | DOI: https://doi.org/10.1515/jqas-2016-0090

Abstract

Cricketing knowledge tells us batting is more difficult early in a player’s innings but becomes easier as a player familiarizes themselves with the conditions. In this paper, we develop a Bayesian survival analysis method to predict the Test Match batting abilities for international cricketers. The model is applied in two stages, firstly to individual players, allowing us to quantify players’ initial and equilibrium batting abilities, and the rate of transition between the two. This is followed by implementing the model using a hierarchical structure, providing us with more general inference concerning a selected group of opening batsmen from New Zealand. The results indicate most players begin their innings playing with between only a quarter and half of their potential batting ability. Using the hierarchical structure we are able to make predictions for the batting abilities of the next opening batsman to debut for New Zealand. Additionally, we compare and identify players who excel in the role of opening the batting, which has practical implications in terms of batting order and team selection policy.

Keywords: Bayesian survival analysis; cricket; hierarchical modelling

References

  • Agresti, A. and M. Kateri. 2011. Categorical Data Analysis. Berlin: Springer.Google Scholar

  • Allison, P. D. 1982. “Discrete-time Methods for the Analysis of Event Histories.” Sociological Methodology 13:61–98.Google Scholar

  • Bracewell, P. J. and K. Ruggiero. 2009. “A Parametric Control Chart for Monitoring Individual Batting Performances in Cricket.” Journal of Quantitative Analysis in Sports 5:1–9.Google Scholar

  • Brewer, B. J. 2008. “Getting your Eye in: A Bayesian Analysis of Early Dismissals in Cricket.” ArXiv preprint:0801.4408v2.Google Scholar

  • Brewer, B. J. and T. M. Elliott. 2014. “Hierarchical Reverberation mapping.” Monthly Notices of the Royal Astronomical Society: Letters 439:L31–L35.Google Scholar

  • Cai, T., R. J. Hyndman, and M. Wand. 2002. “Mixed Model-based Hazard Estimation.” Journal of Computational and Graphical Statistics 11:784–798.Google Scholar

  • Clarke, S. R. 1988. “Dynamic Programming in One-day Cricket-optimal Scoring Rates.” Journal of the Operational Research Society 39:331–337.Google Scholar

  • Clarke, S. R. and J. M. Norman. 1999. “To Run or Not?: Some Dynamic Programming Models in Cricket.” Journal of the Operational Research Society 50:536–545.Google Scholar

  • Clarke, S. R. and J. M. Norman. 2003. “Dynamic Programming in Cricket: Choosing a Night Watchman.” Journal of the Operational Research Society 54:838–845.Google Scholar

  • Damodaran, U. 2006. “Stochastic Dominance and Analysis of ODI Batting Performance: The Indian Cricket Team, 1989–2005.” Journal of Sports Science and Medicine 5:503–508.Google Scholar

  • Davis, J., H. Perera, and T. B. Swartz. 2015. “A Simulator for Twenty20 Cricket.” Australian and New Zealand Journal of Statistics 57:55–71.Google Scholar

  • Elderton, W. and G. H. Wood. 1945. “Cricket Scores and Geometrical progression.” Journal of the Royal Statistical Society 108:12–40.Google Scholar

  • Foreman-Mackey, D. 2016. “corner.py: Scatterplot Matrices in Python.” JOSS 1. http://dx.doi.org/10.21105/joss.00024.

  • Ganesh, T. V. 2016. cricketr: Analyze Cricketers Based on ESPN Cricinfo Statsguru. http://CRAN.R-project.org/package=cricketr, r package version 0.0.12.

  • Hastings, W. K. 1970. “Monte Carlo Sampling Methods Using Markov Chains and Their Applications.” Biometrika 57:97–109.Google Scholar

  • Kimber, A. C. and A. R. Hansford. 1993. “A Statistical Analysis of Batting in Cricket.” Journal of the Royal Statistical Society. Series A (Statistics in Society) 153:443–455.Google Scholar

  • Koulis, T., S. Muthukumarana, and C. D. Briercliffe. 2014. “A Bayesian Stochastic Model for Batting Performance Evaluation in One-day Cricket.” Journal of Quantitative Analysis in Sports 10:1–13.Google Scholar

  • Lemmer, H. H. 2004. “A Measure for the Batting Performance of Cricket Players.” South African Journal for Research in Sport, Physical Education and Recreation 26:55–64.Google Scholar

  • Lemmer, H. H. 2011. “The Single Match Approach to Strike Rate Adjustments in Batting Performance Measures in Cricket.” Journal of Sports Science and Medicine 10:630.Google Scholar

  • McCullagh, P. 1980. “Regression Models for Ordinal Data.” Journal of the Royal Statistical Society. Series B (Methodological) 42:109–142.Google Scholar

  • Norman, J. M. and S. R. Clarke. 2010. “Optimal Batting Orders in Cricket.” Journal of the Operational Research Society 61:980–986.Google Scholar

  • Preston, I. and J. Thomas. 2000. “Batting Strategy in Limited Overs Cricket.” Journal of the Royal Statistical Society: Series D (The Statistician) 49:95–106.Google Scholar

  • Skilling, J. 2006. “Nested Sampling for General Bayesian Computation.” Bayesian Analysis 1:833–859.Google Scholar

  • Swartz, T. B., P. S. Gill, D. Beaudoin, and B. M. de Silva. 2006. “Optimal Batting Orders in One-day Cricket.” Computers and Operations Research 33:1939–1950.Google Scholar

About the article

Published Online: 2017-03-17

Published in Print: 2017-03-01


Citation Information: Journal of Quantitative Analysis in Sports, Volume 13, Issue 1, Pages 25–36, ISSN (Online) 1559-0410, ISSN (Print) 2194-6388, DOI: https://doi.org/10.1515/jqas-2016-0090.

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