%0 Journal Article
%T Bradley-Terry Models in R: The BradleyTerry2 Package
%A Heather Turner
%A David Firth
%J Journal of Statistical Software
%D 2012
%I University of California, Los Angeles
%X 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.
%K generalized linear models
%K logistic regression
%K penalized quasi-likelihood
%K ranking
%K tournament analysis
%K working residuals
%U http://www.jstatsoft.org/v48/i09/paper