Bradley-Terry models in R : the BradleyTerry2 package
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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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|
|Access rights to Published version:||Restricted or Subscription Access|
|Funder:||Engineering and Physical Sciences Research Council (EPSRC)|
Agresti A (2002). Categorical Data Analysis. 2nd edition. John Wiley & Sons.
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