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A Multivariate Analysis of Variance of Categorical Data
Authors:Ike B. Onukogu
Abstract:Two methods of testing multivariate hypotheses in an IXJXK contingency table are presented. In one case, use is made of the trace of the matrix of sum of squares and sum of products while in the other, determinants of the matrices are used to construct test statistics. Asymptotic equivalence of the methods is shown.
Keywords:Products of multinomials  Categorical data  Non-singular transformation  Catanova  Multinova  Approximate Wilk's Distribution
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