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

Dittrich, Regina and Francis, Brian and Hatzinger, Reinhold and Katzenbeisser, Walter (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.

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Journal Article
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Mathematical Social Sciences
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The final, definitive version of this article has been published in the Journal, Mathematical Social Sciences 52 (2), 2006, © ELSEVIER.
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03 Oct 2011 12:13
Last Modified:
21 Nov 2022 21:43