On the monotonicity of the power functions of tests based on traces of multivariate beta matrices

Michael D. Perlman

Journal of Multivariate Analysis, 1974, vol. 4, issue 1, 22-30

Abstract: It is shown that for the MANOVA problem the power function of the test based on the trace of a multivariate beta matrix is monotonically increasing in each noncentrality parameter provided that the cutoff point is not too large. This result is also true for the problem of testing independence of two sets of variates.

Keywords: MANOVA; problem; testing; independence; of; variates; power; functions; invariant; tests; monotonicity; convexity; trace; test; V(t); multivariate; beta; matrix (search for similar items in EconPapers)
Date: 1974
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Citations: View citations in EconPapers (2)

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