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

Alexandra Grand (), Regina Dittrich () and Brian Francis ()

AStA Advances in Statistical Analysis, 2015, vol. 99, issue 2, 237-257

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. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Bradley–Terry model; Log-linear model; Longitudinal paired comparison data; Markov chain; Temporal change of preference parameters; Missing data (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1007/s10182-014-0239-z (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:alstar:v:99:y:2015:i:2:p:237-257

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10182/PS2

DOI: 10.1007/s10182-014-0239-z

Access Statistics for this article

AStA Advances in Statistical Analysis is currently edited by Göran Kauermann and Yarema Okhrin

More articles in AStA Advances in Statistical Analysis from Springer, German Statistical Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().