Axiomatic foundations of a three-set guttman simplex model with applicability to longitudinal data

Linda M. Collins, Norman Cliff

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper the usual two-set Guttman simplex model is extended to three sets. The axiomatic foundations of this extention are presented. Two cases are discussed. In Case 1 there is a three-set joint order, while in Case 2 there is a two-set joint order consistent across all levels of the third set. Case 2 represents the first clear formulation of a longitudinal developmental scale. The model is discussed in terms of its most straightforward application, longitudinal developmental data, and in terms of other possible applications.

Original languageEnglish (US)
Pages (from-to)147-158
Number of pages12
JournalPsychometrika
Volume50
Issue number2
DOIs
StatePublished - Jun 1 1985

All Science Journal Classification (ASJC) codes

  • Psychology(all)
  • Applied Mathematics

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