A note on the Union-Intersection character of some MANOVA procedures
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.
Year of publication: |
1974
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Authors: | Mudholkar, Govind S. ; Davidson, Michael L. ; Subbaiah, Perla |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 4.1974, 4, p. 486-493
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Publisher: |
Elsevier |
Keywords: | Union-Intersection MANOVA trace statistic largest root statistic symmetric gauge functions matrix-decomposition |
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