Abstract
In this paper we consider the problem of testing the means of k multivariate normal populations with additional data from an unknown subset of the k populations. The purpose of this research is to offer test procedures utilizing all the available data for the multivariate analysis of variance problem because the additional data may contain valuable information about the parameters of the k populations. The standard procedure uses only the data from identified populations. We provide a test using all available data based upon Hotelling' s generalized T2statistic. The power of this test is computed using Betz's approximation of Hotelling' s generalized T2statistic by an F-distribution. A comparison of the power of the test and the standard test procedure is also given.
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