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March, 1955 Some New Test Criteria in Multivariate Analysis
K. C. S. Pillai
Ann. Math. Statist. 26(1): 117-121 (March, 1955). DOI: 10.1214/aoms/1177728599


Three new test criteria are proposed for overall tests of hypotheses in multivariate analysis. They are based on the characteristic roots of certain matrices obtained from the product moment matrices of samples drawn from multivariate normal populations. The approximate distributions of the statistics involved in the tests are found as Type I or Type II Beta distributions.


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K. C. S. Pillai. "Some New Test Criteria in Multivariate Analysis." Ann. Math. Statist. 26 (1) 117 - 121, March, 1955.


Published: March, 1955
First available in Project Euclid: 28 April 2007

zbMATH: 0064.13801
MathSciNet: MR67429
Digital Object Identifier: 10.1214/aoms/1177728599

Rights: Copyright © 1955 Institute of Mathematical Statistics

Vol.26 • No. 1 • March, 1955
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