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Local Eigenvalue Density for General MANOVA Matrices
MANOVA random matrix Jacobi ensemble Local density of eigenvalues
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2012/7/9
We consider random $n\times n$ matrices of the form $(XX*+YY*)^{-1/2}YY*(XX*+YY*)^{-1/2}$, where $X$ and $Y$ have independent entries with zero mean and variance one. These matrices are the natural ge...
A multivariate analysis of variance (MANOVA) of the performance of sorghum lines in different agro-ecological regions of Zimbabwe
Multi-environment MANOVA resettled farmers sorghum production
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2011/1/10
This study presents a multi-environment trial to evaluate the performance of sorghum lines in a target population of environments in Zimbabwe. The study attempts to determine whether genotypic variati...
MANOVA模型中均值参数的极大极小估计和可容许估计
正态MANOVA模型 极大极小估计 可容许估计
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2009/10/22
设Y_(n×m)服从矩阵正态分布N(XΘ, σ^2Σ×V),X_(n×k)是一个列满秩的矩阵,n ≥k≥3,σ^2是未知的,σ^(-2)S_p服从自由度为p的χ^2分布。当f(t)是单调非降 可微的函数, 且0≤f(t)≤2(k-2)/m(p+2)时,其列向量为Δ_i(Y)=[I_k- f(V′_iY′(X′Σ^(-1)X)^(-2)YV_iS_p_(-1)S_p (X′Σ^(-1)X)^(-1)...
Asymptotic Results of a High Dimensional MANOVA Test and Power Comparison When the Dimension is Large Compared to the Sample Size
Hiroshima University
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2009/3/9
This paper is concerned with Dempster trace criterion for multivariate linear hypothesis which was proposed for high dimensional situation. First we derive asymptotic null and nonnull distributions of...