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On Tests of independence in several dimensions

Published online by Cambridge University Press:  09 April 2009

H. O. Lancaster
H. O. Lancaster
Affiliation:
Department of Mathematical Statistics, University of Sydney
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Introductory. This paper considers a canonical form, or rather a class of canonical forms, for three dimensional probability distributions subject to a rather mild restriction. These canonical forms are used to develop suitable tests of independence and lead to a consideration of the partition of χ2 in the analysis of complex contingency tables. Where these methods and Bartlett's are both applicable it is shown that they give comparable results; but the partitioning methods are more general.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 1 , Issue 2 , February 1960 , pp. 241 - 254
Copyright
Copyright © Australian Mathematical Society 1960

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