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Symmetry and asymmetry models and decompositions of models for contingency tables

Symmetry and asymmetry models and decompositions of models for contingency tables

For analyzing square contingency tables, Bowker [14] proposed the symmetry model. Caussinus [16] proposed the quasi-symmetry model and gave a decomposition of model such that the symmetry model holds if and only if both the quasi-symmetry and the marginal homogeneity models hold. Bhapkar and Darroch [13] gave the similar theorem …