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Bradley-Terry models in R : the BradleyTerry2 package

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Firth, David and Turner, Heather L.. (2012) Bradley-Terry models in R : the BradleyTerry2 package. Journal of Statistical Software, Volume 48 (Number 9). ISSN 1548-7660

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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 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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	R (Computer program language), Paired comparisons (Statistics) -- Computer programs, Linear models (Statistics) -- Computer programs
Journal or Publication Title:	Journal of Statistical Software
Publisher:	American Statistical Association
ISSN:	1548-7660
Date:	May 2012
Volume:	Volume 48
Number:	Number 9
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Engineering and Physical Sciences Research Council (EPSRC)
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URI:	http://wrap.warwick.ac.uk/id/eprint/47955