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SUMMARY A simultaneous test procedure is proposed for the choice of a parsimonious model for complex contingency tables, based on a similar procedure for the ANOVA of unbalanced cross-classifications. The procedure requires a fully hierarchical partitioning of the maximized log-likelihood, or deviance, and may be applied to log-linear models for counts, and to logistic or linear models for proportions. Several examples are given.
Murray Aitkin (Mon,) studied this question.