Demonstrates a new hypothesis formulation on second-order interactions in contingency tables, suggesting improved analysis methods.
SUMMARY Interactions in contingency tables are compared with interactions in the analysis of variance. The comparison leads to a new formulation of the hypothesis of no second-order interaction in three-way contingency tables, to an explanation of the paradoxes associated with this hypothesis and to a comparatively simple method of constructing its likelihood-ratio test statistic. The extensions to higher-order interactions are merely outlined as they are not likely to be of practical interest.
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J. N. Darroch (1962) studied this question.
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