A diagnostic framework for the Bradley-Terry model

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY(2022)

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摘要
Pairwise comparison data are widely seen in the social sciences, criminology, perception, genetics, bibliometrics, zoology, sports analytics and other fields, and the Bradley-Terry model is among the most commonly used to analyse such data. In this paper, we propose a framework of diagnostics for this class of models, developing diagnostics for both the objects being compared and the subjects making the comparisons. We illustrate the proposed framework in two survey data sets.
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关键词
asymptotic analysis,Bradley-Terry model,maximum likelihood estimation,model diagnostics,pairwise comparison
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