Modelling dependency in multivariate paired comparisons: a log-linear approach

Dittrich, R and Francis, B and Hatzinger, R and Katzenbeisser, W (2006) Modelling dependency in multivariate paired comparisons: a log-linear approach. Mathematical Social Sciences, 52 (2). pp. 197-209. ISSN 0165-4896

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A log-linear representation of the Bradley-Terry model is presented for multivariate paired comparison data, where judges are asked to compare pairs of objects on more than one attribute. By converting such data to multiple binomial responses, dependencies between the decisions of the judges as well as possible association structures between the attributes can be incorporated in the model, providing an advantage over parallel univariate analyses of individual attributes. The approach outlined gives parameters which can be interpreted as (conditional) log–odds and log–odds ratios. As the model is a generalised linear model, parameter estimation can use standard software and the GLM framework can be used to test hypotheses on these parameters.

Item Type: Article
Uncontrolled Keywords: paired comparisons, multivariate Bradley-Terry model, within-subject dependencies, multivariate binomial data, log-linear model, generalized linear models, GLIM
Subjects: 5. Quantitative Data Handling and Data Analysis > 5.17 Quantitative Approaches (other)
Depositing User: L-W-S user
Date Deposited: 02 Apr 2009 13:35
Last Modified: 14 Jul 2021 13:50
DOI: 10.1016/j.mathsocsci.2006.06.001

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