A generalized model for the analysis of association in ordinal contingency tables

Abstract A generalized ordinal association model for two-way contingency tables is obtained by using the Box-Cox family of power transformations to scale the interaction between row and column classifications. Goodman's RC model and the rank-2 correlation model, which are the most commonly used ordinal association models, are special cases of the proposed generalized model. Several properties of the new model are derived, which lead to meaningful interpretations of the model and the association parameter. The present results also unify the similar results known for the RC model and the rank-2 correlation model.

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