Dynamic rating of sports teams

Journal of the Royal Statistical Society Series D: The Statistician

Volumn 49, Issue 2, 2000, Pages 261-276

  Knorr Held, Leonhard ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

Constrained random walk prior; Cumulative link model; Dynamic model; Invariance of estimators; Ordinal response; Paired comparisons; Rating

Indexed keywords

EID: 0012006805     PISSN: 00390526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9884.00236     Document Type: Article

References (26)

1. Agresti, A. (1992) Analysis of ordinal paired comparison data. Appl. Statist., 41, 287-297.
2. Bassett, Jr, G. W. (1997) Robust sports ratings based on least absolute errors. Am. Statistn, 51, 99-105.
3. Berzuini, C., Best, N. G., Gilks, W. R. and Larizza, C. (1997) Dynamic conditional independence models and Markov chain Monte Carlo methods. J. Am. Statist. Ass., 92, 1403-1412.
4. Besag, J. E., Green, P. J., Higdon, D. and Mengersen, K. (1995) Bayesian computation and stochastic systems (with discussion). Statist. Sci., 10, 3-66.
5. Bradley, R. A. and Terry, M. E. (1952) Rank analysis of incomplete block designs: I, The method of pair comparisons. Biometrika, 39, 324-345.
6. Cox, D. R. and Hinkley, D. V. (1974) Theoretical Statistics. London: Chapman and Hall.
7. Fahrmeir, L. (1992) Posterior mode estimation by extended Kalman filtering for multivariate dynamic generalized linear models. J. Am. Statist. Ass., 87, 501-509.
8. Fahrmeir, L. and Knorr-Held, L. (2000) Dynamic and semiparametric models. In Smoothing and Regression: Approaches, Computation and Application (ed. M. Schimek), ch. 18. New York: Wiley. To be published.
9. Fahrmeir, L. and Tutz, G. (1994a) Dynamic stochastic models for time-dependent ordered paired comparison systems. J. Am. Statist. Ass., 89, 1438-1449.
10. _(1994b) Multivariate Statistical Modelling Based on Generalized Linear Models. New York: Springer.
11. Fahrmeir, L. and Wagenpfeil, S. (1997) Penalized likelihood estimation and iterative Kalman smoothing for non-Gaussian dynamic regression models. Comput. Statist. Data Anal., 24, 295-320.
12. Glickman, M. E. (1993) Paired comparison models with time-varying parameters. PhD Dissertation. Department of Statistics, Harvard University, Cambridge.
13. _(1999) Parameter estimation in large dynamic paired comparison experiments. Appl. Statist., 48, 377-394.
14. Glickman, M. E. and Stern, H. S. (1998) A state-space model for National Football League scores. J. Am. Statist. Ass., 93, 25-35.
15. Gordon, N. J., Salmond, D. J. and Smith, A. F. M. (1993) A novel approach to non-linear and non-Gaussian Bayesian state estimation. IEE Proc. F, 140, 107-133.
16. Harvey, A. C. (1989) Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge: Cambridge University Press.
17. Harville, D. A. (1977) The use of linear-model methodology to rate high school or college football teams. J. Am. Statist. Ass., 72, 278-289.
18. _(1980) Predictions for National Football League games via linear-model methodology. J. Am. Statist. Ass., 75, 516-524.
19. Harville, D. A. and Smith, M. H. (1994) The home-court advantage: how large is it, and does it vary from team to team? Am. Statistn, 48, 22-28.
20. Knorr-Held, L. (1997) Hierarchical Modelling of Discrete Longitudinal Data; Applications of Markov Chain Monte Carlo. Munich: Utz.
21. _(1999) Conditional prior proposals in dynamic models. Scand. J. Statist., 26, 129-144.
22. Knorr-Held, L. and Besag, J. (1998) Modelling risk from a disease in time and space. Statist. Med., 17, 2045-2060.
23. Pitt, M. K. and Shephard, N. (1999) Filtering via simulation: auxiliary particle filters. J. Am. Statist. Ass., 94, 590-599.
24. Sallas, W. M. and Harville, D. A. (1988) Noninformative priors and restricted maximum likelihood estimation in the Kalman filter. In Bayesian Analysis of Times Series and Dynamic Models (ed. J. C. Spall), pp. 477-508. New York: Dekker.
25. Smith, A. F. M. and Roberts, G. O. (1993) Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods. J. R. Statist. Soc. B, 55, 3-23.
26. Tutz, G. (1986) Bradley-Terry-Luce models with an ordered response. J. Math. Psychol., 30, 306-316.