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Bradley-Terry Models in R: The BradleyTerry2 Package

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  • Turner, Heather
  • Firth, David

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.

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  • Turner, Heather & Firth, David, 2012. "Bradley-Terry Models in R: The BradleyTerry2 Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i09).
    • Handle: RePEc:jss:jstsof:v:048:i09
    DOI: http://hdl.handle.net/10.18637/jss.v048.i09
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    References listed on IDEAS

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    1. R. Dittrich & R. Hatzinger & W. Katzenbeisser, 2001. "Corrigendum: Modelling the effect of subject‐specific covariates in paired comparison studies with an application to university rankings," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 50(2), pages 247-249.
    2. Firth, David, 2005. "Bradley-Terry Models in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 12(i01).
    3. Hatzinger, Reinhold & Dittrich, Regina, 2012. "prefmod: An R Package for Modeling Preferences Based on Paired Comparisons, Rankings, or Ratings," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i10).
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    Cited by:

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    7. Wickelmaier, Florian & Strobl, Carolin & Zeileis, Achim, 2012. "Psychoco: Psychometric Computing in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i01).
    8. Hankin, Robin K.S., 2020. "A generalization of the Bradley–Terry model for draws in chess with an application to collusion," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 325-333.
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