A new proof of admissibility of tests in the multivariate analysis of variance

T. W. Anderson and Akimichi Takemura

Journal of Multivariate Analysis, 1982, vol. 12, issue 4, 457-468

Abstract: A new proof of admissibility of tests in MANOVA is given using Stein's theorem [7]. The convexity condition of Stein's theorem is proved directly by means of majorization rather than by the supporting hyperplane approach. This makes the geometrical meaning of the admissibility result clearer.

Keywords: MANOVA; admissibility; majorization; Schur-convexity; extreme; points; exponential; family (search for similar items in EconPapers)
Date: 1982
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