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1 results

  • The Analysis of Three-Way Contingency Tables by Three-Mode Association Models

  • Carolyn J. Anderson
  • Journal:
    Psychometrika / Volume 61 / Issue 3 / September 1996
    Published online by Cambridge University Press:
    01 January 2025, pp. 465-483

  • 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.