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Markov models of dependence in longitudinal paired comparisons: an application to course design

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<mark>Journal publication date</mark>04/2015
<mark>Journal</mark>AStA Advances in Statistical Analysis
Issue number2
Volume99
Number of pages21
Pages (from-to)237-257
Publication statusPublished
Early online date21/10/14
Original languageEnglish

Abstract

This article suggests a new approach for modelling longitudinal paired comparison data. As individual preferences may change from one time point to another, we propose extending the basic log-linear Bradley–Terry model by incorporating a Markovian structure with temporal within-comparison dependence parameters and parameters indicating the amount of change of the unknown preference parameters of the objects. We illustrate this approach by analysing a student survey relating to statistics course design with three time points.

Bibliographic note

The final publication is available at Springer via http://dx.doi.org/10.1007/s10182-014-0239-z