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Extended Use of Paired Comparison Models, with Application to Chess Rankings

1990; Oxford University Press; Volume: 39; Issue: 1 Linguagem: Inglês

10.2307/2347814

1467-9876

Harry Joe,

Sports Dynamics and Biomechanics

Linear paired comparison models are studied when ties or draws are allowed, where the probability of a win plus half the probability of a draw is modelled as a symmetric cumulative function evaluated at the difference of strength parameters. These models are extended to make use of covariate information and used for ranking 64 top chess players since 1800 with information on career periods. Some new methodology including an analysis of an appropriate goodness-of-fit test is given for this extended use of the linear model