Bradley-Terry Models in R : The BradleyTerry2 Package

This is a short overview of the R add-on package BradleyTerry2, which facilitates the specification and fitting of Bradley-Terry logit, probit or cauchit models to pair-comparison data. Included are the standard ‘unstructured’ Bradley-Terry model, structured versions in which the parameters are rela...

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Bibliographic Details
Published inJournal of statistical software Vol. 48; no. 9
Main Authors Turner, Heather, Firth, David
Format Journal Article
LanguageEnglish
Published Foundation for Open Access Statistics 01.05.2012
Subjects
generalized linear models
logistic regression
penalized quasi-likelihood
ranking
tournament analysis
working residuals
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Summary:This is a short overview of the R add-on package BradleyTerry2, which facilitates the specification and fitting of Bradley-Terry logit, probit or cauchit models to pair-comparison data. Included are the standard ‘unstructured’ Bradley-Terry model, structured versions in which the parameters are related through a linear predictor to explanatory variables, and the possibility of an order or ‘home advantage’ effect or other ‘contest-specific’ effects. Model fitting is either by maximum likelihood, by penalized quasi-likelihood (for models which involve a random effect), or by bias-reduced maximum likelihood in which the first-order asymptotic bias of parameter estimates is eliminated. Also provided are a simple and efficient approach to handling missing covariate data, and suitably-defined residuals for diagnostic checking of the linear predictor.
ISSN:1548-7660
1548-7660
DOI:10.18637/jss.v048.i09