Multivariate tests for non-additivity |
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| Authors: | James A. Koziol |
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| Affiliation: | 1. Department of Basic and Clinical Research, Research Institute of Scripps Clinic, 10666 North Torrey Pines Road, 92037, La Jolla, California
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| Abstract: | A full bivariate generalization of the Anscombe-Tukey one degree of freedom for univariate non-additivity is presented, and is compared to other proposals. Higher dimensional extensions follow directly. In general, k(k+1)/2 degrees of freedom can be allocated to assessing non-additivity in k dimensions. Hence coordinate-wise additivity is necessary but not sufficient for multivariate additivity. |
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