The analysis of three-way contingency tables by three-mode association models

Research output: Contribution to journalArticle

Abstract

The RC(M) association model (Goodman, 1979, 1985, 1986, 1991) is useful for analyzing the relationship between the variables of a 2-way cross-classification. The models presented here are generalizations of the RC(M) association model for 3-way tables. The family of models proposed here, "3-mode association" models, use Tucker's 3-mode components model (Tucker, 1964, 1966; Kroonenberg, 1983) to represent either the three factor interaction or the combined effects of two and three factor interactions. An example from a study in developmental psychology (Kramer & Gottman, 1992) is provided to illustrate the usefulness of the proposed models.

Original languageEnglish (US)
Pages (from-to)465-483
Number of pages19
JournalPsychometrika
Volume61
Issue number3
DOIs
StatePublished - Sep 1996

Fingerprint

Association Model
Contingency Table
contingency
Tucker3
Component Model
Interaction
Tables
Model
developmental psychology
interaction
Developmental Psychology

Keywords

  • Association models
  • Loglinear models
  • Three-factor interactions
  • Tucker's 3-mode components model

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Psychology(all)
  • Psychology (miscellaneous)
  • Social Sciences (miscellaneous)

Cite this

The analysis of three-way contingency tables by three-mode association models. / Anderson, Carolyn J.

In: Psychometrika, Vol. 61, No. 3, 09.1996, p. 465-483.

Research output: Contribution to journalArticle

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