On the Non-Central Distributions of Two Test Criteria in Multivariate Analysis of Variance

作者: C. G. Khatri , K. C. S. Pillai

DOI: 10.1214/AOMS/1177698521

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摘要: Let $\mathbf{X}$ be a $p \times f_2$ matrix variate $(p \leqq f_2)$ and $\mathbf{Y}$ f_1$ f_1)$ the columns all independently normally distributed with covariance $\mathbf{\Sigma}, E(\mathbf({X}) = \mathbf{M}$ $E(\mathbf{Y}) \mathbf{0}$. $0 j}(l_i - l_j).$ In this paper distribution of Pillai's $V^{(p)}$ criterion which is trace $\mathbf{L}$, [5], [6] that Roy's largest root criterion, $l_p$, [8], [10], have been obtained in series forms certain constants involved tabulated. addition, first four moments are also linear case, illustrating further use some tabulations.

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