Extended Use of Paired Comparison Models, with Application to Chess Rankings
研究了允许平局的线性配对比较模型，将其扩展以利用协变量信息，并用于对1800年以来64位顶级国际象棋棋手进行排名，同时给出了拟合优度检验方法。
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