Remarks on the identifiability of thurstonian ranking models: Case V, Case III, or neither?

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

It is well-known that the representations of the Thurstonian Case III and Case V models for paired comparison data are not unique. Similarly, when analyzing ranking data, other equivalent covariance structures can substitute for those given by Thurstone in these cases. That is, we may more broadly define the family of covariance structures satisfying Case III and Case V conditions. This paper introduces the notion of equivalence classes which defines a more meaningful partition of the covariance structures of the Thurstonian ranking models. In addition, the equivalence classes of Case V and Case III are completely characterized.

Original languageEnglish
Pages (from-to)233-240
Number of pages8
JournalPsychometrika
Volume65
Issue number2
DOIs
Publication statusPublished - 2000 Jan 1

Fingerprint

Matched-Pair Analysis
Equivalence classes
Identifiability
Covariance Structure
Ranking
Equivalence class
Paired Comparisons
Substitute
Partition
Model

Keywords

  • Identifiability
  • Ranking data
  • Thurstonian models

ASJC Scopus subject areas

  • Psychology(all)
  • Applied Mathematics

Cite this

Remarks on the identifiability of thurstonian ranking models : Case V, Case III, or neither? / Tsai, Rung-Ching.

In: Psychometrika, Vol. 65, No. 2, 01.01.2000, p. 233-240.

Research output: Contribution to journalArticle

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