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Spectral PCA for MANOVA and data over binary trees

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We extend a concept of ANOVA broader than the traditional variance component models to MANOVA. Within this framework we can derive a spectral principal component analysis (PCA) and see how it generalises the same notion for weakly stationary vector time series. We then attempt to obtain analogous results for arrays of random variables over (i.e., indexed by the nodes of) binary trees, with only partial success. While there is an analogue of ANOVA and MANOVA for binary trees, the existence of spectral PCA there is unresolved. (C) 2021 Elsevier Inc. All rights reserved.

ANOVAMANOVAPCASpectral PCAPRINCIPAL COMPONENT ANALYSISVARIANCE

Speed, Terence P.、Hicks, Damien G.

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Walter & Eliza Hall Inst Med Res

Swinburne Univ Technol

2022

Journal of Multivariate Analysis

Journal of Multivariate Analysis

SCI
ISSN:0047-259X
年,卷(期):2022.188
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