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1 results

  • Tests of Symmetry in Three-Way Contingency Tables

  • Campbell B. Read
  • Journal:
    Psychometrika / Volume 43 / Issue 3 / September 1978
    Published online by Cambridge University Press:
    01 January 2025, pp. 409-420

  • Three-dimensional contingency tables are analyzed, with one variable (e.g., sex) as a factor, and with a natural relation between the other variables (e.g. left and right eye vision). Models of special interest, like symmetry and proportional symmetry between the related variables, and homogeneity across the factor levels, are investigated. Maximum likelihood estimators of parameters and partitions of chi-square goodness-of-fit statistics are explicitly presented; the independence of certain models is noted, and an example is discussed.