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

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

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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.

Item Type:
Journal Article
Journal or Publication Title:
AStA Advances in Statistical Analysis
Additional Information:
The final publication is available at Springer via http://dx.doi.org/10.1007/s10182-014-0239-z
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2000/2002
Subjects:
?? bradley–terry modellog-linear modellongitudinal pairedmarkov modelmissing dataeconomics and econometricsmodelling and simulationsocial sciences (miscellaneous)analysisapplied mathematicsstatistics and probability ??
ID Code:
71597
Deposited By:
Deposited On:
03 Nov 2014 13:32
Refereed?:
Yes
Published?:
Published
Last Modified:
07 Mar 2024 00:34