Interaction in Multidimensional Contingency Tables: An Information Theoretic Approach.

摘要

The problem of interaction in multidimensional contingency tables is investigated from the viewpoint of information theory as developed by Kullback. The hypothesis of no rth-order interaction is defined in the sense of an hypothesis of'generalized' independence of classifications with fixed rth order marginal restraints. Results of application to the analysis of some 'classical' three-dimensional contingency tables are given, together with full details for two four-dimensional examples. (Author)