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This work is concerned with the rating of players/teams in face-to-face games with three possible outcomes: loss, win, and draw.
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Bradley, R. A. and M. E. Terry (1952): “Rank analysis of incomplete block designs: 1 the method of paired comparisons,” Biometrika , 39, 324–345
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David, H. (1963): The Method of Paired Comparison , Charles Griffin & Co. Ltd
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Rao, P. V. and L. L. Kupper (1967): “Ties in paired-comparison experiments: A generalization of the Bradley-Terry model,” Journal of the American Statistical Association , 62, 194–204, URL https://amstat.tandfonline.com/doi/abs/10.1080/01621459.1967.10482901
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Davidson, R. R. (1970): “On extending the Bradley-Terry model to accommodate ties in paired comparison experiments,” Journal of the American Statistical Association , 65, 317–328, URL http://www.jstor.org/stable/2283595
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Davidson, R. R. and R. J. Beaver (1977): “On extending the Bradley-Terry model to incorporate within-pair order effects,” Biometrics , 33, 693–702
1977
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Joe, H. (1990): “Extended use of paired comparison models, with application to chess rankings,” Journal of the Royal Statistical Society. Series C (Applied Statistics) , 39, 85–93, URL http://www.jstor.org/stable/2347814
1990
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Fahrmeir, L. and G. Tutz (1994): “Dynamic stochastic models for time-dependent ordered paired comparison systems,” Journal of the American Statistical Association , 89, 1438–1449, URL +http://dx.doi.org/10.1093/biomet/39.3-4.324
1994
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Glickman, M. E. (1999): “Parameter estimation in large dynamic paired comparison experiments,” Journal of the Royal Statistical Society: Series C (Applied Statistics) , 48, 377–394, URL http://dx.doi.org/10.1111/1467-9876.00159
1999
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Haykin, S. (2002): Adaptive Filter Theory , Prentice Hall, 4 edition
2002
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Herbrich, R. and T. Graepel (2006): “Trueskill(TM): A Bayesian skill rating system,” Technical report, URL https://www.microsoft.com/en-us/research/publication/trueskilltm-a-bayesian-skill-rating-system-2/
2006
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Elo, A. E. (2008): The Rating of Chess Players, Past and Present , Ishi Press International
2008
Cited alongside, same era.
Tsukida, K. and M. Gupta (2011): “How to analyze paired comparison data,” Technical report, University of Washington
2011
Lasek, J., Z. Szlávik, and S. Bhulai (2013): “The predictive power of ranking systems in association football,” International Journal of Applied Pattern Recognition , 1, 27–46, URL https://www.inderscienceonline.com/doi/abs/10.1504/IJAPR.2013.052339
2013
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Gelman, A., J. Hwang, and A. Vehtari (2014): “Understanding predictive information criteria for Bayesian models,” Statistics and Computing , 24, 997–1016, URL https://doi.org/10.1007/s11222-013-9416-2
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2014
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Glickman, M. E. and J. Hennessy (2015): “A stochastic rank ordered logit model for rating multi-competitor games and sports,” Journal of Quantitative Analysis in Sports , 11
2015
Later among the works it cites.
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Cited alongside, same era.
Caron, F. and A. Doucet (2012): “Efficient Bayesian inference for generalized Bradley–Terry models,” Journal of Computational and Graphical Statistics , 21, 174–196, URL https://doi.org/10.1080/10618600.2012.638220
2012
Cited alongside, same era.
Cattelan, M. (2012): “Models for paired comparison data: A review with emphasis on dependent data,” Statist. Sci. , 27, 412–433
2012
Cited alongside, same era.
Langville, A. N. and C. D. Meyer (2012): Who’s #1, The Science of Rating and Ranking , Princeton University Press
2012
Cited alongside, same era.
2017
Later among the works it cites.
FIFA (2019): “Fédération international de football association: men’s ranking procedure,” URL https://www.fifa.com/fifa-world-ranking/procedure/men
2019
Closest in time.
Football-data.co.uk (2019): “Historical football results and betting odds data,” URL https://www.football-data.co.uk/data.php
2019
Closest in time.
Wikipedia contributors (2019): “Wikipedia: elo rating system,” URL https://en.wikipedia.org/wiki/Elo_rating_system
2019
Closest in time.