|Authors:||Heather Turner, David Firth|
|Title:||Bradley-Terry Models in R: The BradleyTerry2 Package|
|Abstract:||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 paircomparison 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.|
Page views:: 3210. Submitted: 2011-09-16. Published: 2012-05-24.
Bradley-Terry Models in R: The BradleyTerry2 Package
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