CATANOVA for two-way cross classified categorical data |
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Authors: | R. Lombardo I. Camminatiello |
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Affiliation: | 1. Economic Faculty , Second University of Naples , Capua, CE, 81043, Italy rosaria.lombardo@unina2.it;3. Economic Faculty , University of Naples , Naples, 80126, Italy |
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Abstract: | In this article we develop an extension of categorical analysis of variance for one response and two factors, based on a partitioning of a measure of predictability for three-way contingency tables, known as Gray and Williams's index. At the first instance moment the decomposition of this multiple measure of association in partial association measures is shown. Finally, for ordinal-scale variables, we propose an extension of this decomposition using a particular set of orthogonal polynomials. |
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Keywords: | CATANOVA three-way contingency tables Gray–Williams index orthogonal decomposition ordinal-scale variables orthogonal polynomials |
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