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Biometrika 1973 60(1):107-111; doi:10.1093/biomet/60.1.107
© 1973 by Biometrika Trust
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On the multivariate Behrens-Fisher problem

KOCHERLAKOTA SUBRAHMANIAM and KATHLEEN SUBRAHMANIAM

University of Manitoba

This paper is concerned with the relative merits of statistical procedures for the classical Behrens-Fisher problem in the p-dimensional case. There are three such methods considered here: (i) the approximate degrees-of-freedom solution put forward by Yao (1965), (ii) James's (1954) asymptotic series solution and (iii) Bennett's (1951) extension of Soheffé's (1943) solution to the univariate problem. Monte-Carlo studies are made of the level of significance and power function.

Key Words: Behrens-Fisher problem • Level of significance of multivariate tests • Power of a test • Simulation • Monte Carlo


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