Modeling within-subject dependencies in ordinal paired comparison data

Ulf Böckenholt*, William R. Dillon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

This paper presents two probabilistic models based on the logistic and the normal distribution for the analysis of dependencies in individual paired comparison judgments. It is argued that a core assumption of latent class choice models, independence of individual decisions, may not be well-suited for the analysis of paired comparison data. Instead, the analysis and interpretation of paired comparison data may be much simplified by allowing for within-person dependencies that result from repeated evaluations of the same options in different pairs. Moreover, by relating dependencies among the individual-level responses to (in)consistencies in the judgmental process, we show that the proposed graded paired comparison models reduce to ranking models under certain conditions. Three applications are presented to illustrate the approach. Key words: repeated measurements, rankings, intransitivities, Thurstonian models.

Original languageEnglish (US)
Pages (from-to)411-434
Number of pages24
JournalPsychometrika
Volume62
Issue number3
DOIs
StatePublished - Sep 1997

ASJC Scopus subject areas

  • Psychology(all)
  • Applied Mathematics

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