A diagnostic framework for the Bradley–Terry model

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 th...

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Bibliographic Details
Published inJournal of the Royal Statistical Society. Series A, Statistics in society Vol. 185; no. Supplement_2; pp. S461 - S484
Main Authors Wu, Weichen, Niezink, Nynke, Junker, Brian
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.12.2022
Subjects
asymptotic analysis
Bibliometrics
Bradley–Terry model
Criminology
Data analysis
maximum likelihood estimation
model diagnostics
pairwise comparison
Social sciences
Sports
Zoology
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Summary: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.
Bibliography:Funding information
Russell Sage Foundation, Grant/Award Number: G‐2003‐22461
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0964-1998
1467-985X
DOI:10.1111/rssa.12959