Remarks on the identifiability of Thurstonian paired comparison models under multiple judgment

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Abstract

It is well-known that the representations of the Thurstonian models for difference judgment data are not unique. It has been shown that equivalence classes can be formed to provide a more meaningful partition of the covariance structures of the Thurstonian ranking models. In this paper, we examine the equivalence relations between Thurstonian covariance structure models for paired comparison data obtained under multiple judgment and discuss their implications on the general identification constraints and methods to check for parameter identifiability in restricted models.

Original languageEnglish
Pages (from-to)361-372
Number of pages12
JournalPsychometrika
Volume68
Issue number3
DOIs
Publication statusPublished - 2003 Sep

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Keywords

  • Identifiability
  • Multiple judgment
  • Thurstonian paired comparison models

ASJC Scopus subject areas

  • Psychology(all)
  • Applied Mathematics

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