4.3 Article

A diagnostic framework for the Bradley-Terry model

Publisher

WILEY
DOI: 10.1111/rssa.12959

Keywords

asymptotic analysis; Bradley-Terry model; maximum likelihood estimation; model diagnostics; pairwise comparison

Funding

  1. Russell Sage Foundation [G-2003-22461]

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This paper proposes a framework for analyzing pairwise comparison data and develops diagnostics for both the objects being compared and the subjects making the comparisons. The proposed framework is illustrated using two survey data sets.
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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