swMATH ID: 9554
Software Authors: Heather Turner, David Firth
Description: 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 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.
Homepage: https://cran.r-project.org/web/packages/BradleyTerry2/index.html
Source Code:  https://github.com/cran/BradleyTerry2
Related Software: R; prefmod; gnm; BTLLasso; VGAM; gvcm.cat; ordBTL; vcd; CasANOVA; Stan; Rcpp; RcppArmadillo; SAS; brglm2; lme4; OEIS; PerMallows; Matlab; catdata; Fahrmeir
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