DOI QR코드

DOI QR Code

Statistical Analysis of K-League Data using Poisson Model

Kim, Yang-Jin

  • Received : 2012.06.25
  • Accepted : 2012.09.24
  • Published : 2012.10.31

Abstract

Several statistical models for bivariate poisson data are suggested and used to analyze 2011 K-league data. Our interest is composed of two purposes: The first purpose is to exploit potential attacking and defensive abilities of each team. Particular, a bivariate poisson model with diagonal inflation is incorporated for the estimation of draws. A joint model is applied to estimate an association between poisson distribution and probability of draw. The second one is to investigate causes on scoring time of goals and a regression technique of recurrent event data is applied. Some related future works are suggested.

Keywords

Bivariate poisson data;diagonal inflation model;K-league;random effect;recurrent event data

References

  1. Cook, R. J. and Lawless, J. F. (2007). The Statistical Analysis of Recurrent Events, Springer, New York.
  2. Ho, L. and Singer, J. (2001). Generalized least squares methods for bivariate poisson regression, Communications in Statistics - Theory and Methods, 30, 263-277. https://doi.org/10.1081/STA-100002030
  3. Karlis, D. and Ntzoufras, I. (2003). Analysis of sports data by using bivariate Poisson models, Journal of the Royal Statistical Society D (The Statistician), 52, 381-393. https://doi.org/10.1111/1467-9884.00366
  4. Kelly, P. J. and Lim, L. Y. (2000). Survival analysis for recurrent event data: An application to childhood infectious diseases, Statistics in Medicine, 19, 12-33.
  5. Kocherlakota, S. and Kocherlakota, K. (2001). Regression in the bivariate Poisson distribution, Communications in Statistics - Theory and Methods, 30, 815-827. https://doi.org/10.1081/STA-100002259
  6. Li, C., Lu, J., Park, J., Kim, K. and Peterson, J. (1999). Multivariate zero-inflated Poisson models and their applications, Technometrics, 41, 29-38. https://doi.org/10.1080/00401706.1999.10485593
  7. Walhin, J. (2001). Bivariate ZIP models, Biometrical Journal, 43, 147-160. https://doi.org/10.1002/1521-4036(200105)43:2<147::AID-BIMJ147>3.0.CO;2-5
  8. Wang, K., Lee, A., Yau, K. and Carrivick, P. (2003). A bivariate zero inflated Poisson regression model to analyze occupational injuries, Accident Analysis and Prevention, 35, 625-629. https://doi.org/10.1016/S0001-4575(02)00036-2

Cited by

  1. Prediction of K-league soccer scores using bivariate Poisson distributions vol.25, pp.6, 2014, https://doi.org/10.7465/jkdi.2014.25.6.1221

Acknowledgement

Supported by : National Research Fund