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Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition (Statistics for Social and Behavioral Sciences)

Haruo Yanai, Kei Takeuchi, Yoshio Takane




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 | #5331578 in Books |  2013-05-28 |  2013-05-29 | Original language:English | PDF # 1 |  9.25 x.56 x6.10l,.78 | File type: PDF | 236 pages

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Aside from distribution theory, projections and the singular value decomposition (SVD) are the two most important concepts for understanding the basic mechanism of multivariate analysis. The former underlies the least squares estimation in regression analysis, which is essentially a projection of one subspace onto another, and the latter underlies principal component analysis, which seeks to find a subspace that captures the largest variability in the original space.<...

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