Grand, Alexandra and Dittrich, Regina and Francis, Brian (2015) Markov models of dependence in longitudinal paired comparisons : an application to course design. AStA Advances in Statistical Analysis, 99 (2). pp. 237-257. ISSN 1863-8171
manuscript_GrandDittrichFrancis_revision2_1.pdf - Accepted Version
Download (359kB)
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.