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Biometrika 1967 54(1-2):189-194; doi:10.1093/biomet/54.1-2.189
© 1967 by Biometrika Trust
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Upper percentage points of the largest root of a matrix in multivariate analysis

K. C. SREEDHARAN PILLAI

Purdue University

The general expressions obtained by Pillai (1965) for approximating at the upper end to the C.D.F. of the largest of s characteristic roots of a matrix jointly distributed according to the Fisher-Girshick-Hsu-Roy distribution, have been used to compute upper 5 and 1 % points of the largest root for s up to 20, of which those for s = 14, 16, 18 and 20 are presented in this paper. Methods of interpolation for obtaining such percentage points for intermediate values of s have been suggested and errors of interpolation and approximation discussed.


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