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

Alexandra Grand, Regina Dittrich, Brian Francis

Publication: Scientific journalJournal articleResearchpeer-review

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 loglinear 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.
Original languageEnglish
Pages (from-to)237 - 257
JournalAdvances in Statistical Analysis (AStA)
Volume99
Issue number2
DOIs
Publication statusPublished - 2015

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