A note on the Union-Intersection character of some MANOVA procedures

Govind S. Mudholkar, Michael L. Davidson and Perla Subbaiah

Journal of Multivariate Analysis, 1974, vol. 4, issue 4, 486-493

Abstract: A decomposition termed the matrix-decomposition of the MANOVA hypothesis is discussed. On the basis of this decomposition the Hotelling-Lawley trace statistic is derived as a Union-Intersection (U-I) statistic. A new derivation of the c1-statistic is obtained as a particular case of the U-I nature of all the procedures in a class specified by Definition 3.4.

Keywords: Union-Intersection; MANOVA; trace; statistic; largest; root; statistic; symmetric; gauge; functions; matrix-decomposition (search for similar items in EconPapers)
Date: 1974
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Citations: View citations in EconPapers (1)

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