Statistical Modelling 4 (2004), 181–193

A log-linear approach for modelling ordinal paired comparison data on motives to start a PhD programme

Regina Dittrich,
Department of Statistics and Mathematics,
University of Economics,
Augasse 2–6,
A-1090 Vienna,
Austria.
eMail: regina.dittrich@wu-wien.ac.at

Reinhold Hatzinger and Walter Katzenbeisser
Vienna University of Economics,
Vienna,
Austria.

Abstract:

The purpose of this paper is to propose an alternative log-linear representation of an adjacent categories (AC) paired comparison (PC) model. The AC model is well suited for modelling ordinal PC data by postulating a power relationship between the response category and the probability of preferring one object over another object. The model is applied to data collected on the motivation of Vienna students to start a doctoral programme of study.

Keywords:

adjacent categories model; Bradley-Terry model; generalized linear models; GLIM; ordinal data; paired comparisons; R
 

Downloads:

Example data and R code in zipped archive

See http://www.r-project.org for information on the R Project for Statistical Computing.


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