Open Access
August 2012 Models for Paired Comparison Data: A Review with Emphasis on Dependent Data
Manuela Cattelan
Statist. Sci. 27(3): 412-433 (August 2012). DOI: 10.1214/12-STS396


Thurstonian and Bradley–Terry models are the most commonly applied models in the analysis of paired comparison data. Since their introduction, numerous developments have been proposed in different areas. This paper provides an updated overview of these extensions, including how to account for object- and subject-specific covariates and how to deal with ordinal paired comparison data. Special emphasis is given to models for dependent comparisons. Although these models are more realistic, their use is complicated by numerical difficulties. We therefore concentrate on implementation issues. In particular, a pairwise likelihood approach is explored for models for dependent paired comparison data, and a simulation study is carried out to compare the performance of maximum pairwise likelihood with other limited information estimation methods. The methodology is illustrated throughout using a real data set about university paired comparisons performed by students.


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Manuela Cattelan. "Models for Paired Comparison Data: A Review with Emphasis on Dependent Data." Statist. Sci. 27 (3) 412 - 433, August 2012.


Published: August 2012
First available in Project Euclid: 5 September 2012

zbMATH: 1331.62368
MathSciNet: MR3012434
Digital Object Identifier: 10.1214/12-STS396

Keywords: Bradley–Terry model , limited information estimation , paired comparisons , pairwise likelihood , Thurstonian models

Rights: Copyright © 2012 Institute of Mathematical Statistics

Vol.27 • No. 3 • August 2012
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