Statistical methods for testing independence in multiway contingency tables which are based on the correspondence between the analysis of factorial experiments and tests of marginal independence are developed. This relationship simplifies the interpretation of analyses of contingency tables and leads to simplified tests for tables in which some of the probabilities are constrained to be zero. The linear models approach is used to calculate smoothed estimates of probabilities.
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Grizzle et al. (1972) studied this question.
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