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Biometrics. 1975 Sep;31(3):727-9.

The equivalence of the generalized McNemar tests for marginal homogeneity in 2(3) and 3(2) tables.


The McNemar test for correlated proportions has been generalized to test for marginal homogeneity of either a 2c or an m2 contingency table. The tests for 2(3) and 3(2) tables turn out to be equivalent since each involves six non-diagonal elements; equal numbers of degrees of freedom in the associated chi square tests, m - 1 = c - 1 = 2; identical constraints on the fits to the non-diagonal elements; and identical measures of discrepancy between observed and fitted values to be optimized.

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