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Statistical Modelling
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What's this?

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

Regina Dittrich

Vienna University of Economics, Vienna, Austria, regina.dittrich{at}wu-wien.ac.at

Reinhold Hatzinger

Vienna University of Economics, Vienna, Austria

Walter Katzenbeisser

Vienna University of Economics, Vienna, Austria

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.

Key Words: adjacent categories model • Bradley-Terry model • generalized linear models • GLIM • ordinal data • paired comparisons • R

Statistical Modelling, Vol. 4, No. 3, 181-193 (2004)
DOI: 10.1191/1471082X04st072oa


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R. Dittrich, B. Francis, R. Hatzinger, and W. Katzenbeisser
A paired comparison approach for the analysis of sets of Likert-scale responses
Statistical Modeling, April 1, 2007; 7(1): 3 - 28.
[Abstract] [PDF]