Orthogonal and oblique projectors and the characteristics of pairs of vector spaces
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説明
<jats:p>The statistical operation of multiple linear regression by least squares is equivalent to the orthogonal projection of vectors of observations on a space spanned by vectors of observations; and a partial regression can be similarly represented as an oblique projection. This connexion between a statistical and a formal algebraical operation gives the main source of interest for this investigation. Its object is to develop algebraical theory which supplies terms necessary for a unified algebraical and geometrical formulation of concepts in multivariate analysis. An exposition of the statistical theory is to be made in a separate paper.</jats:p>
収録刊行物
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- Mathematical Proceedings of the Cambridge Philosophical Society
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Mathematical Proceedings of the Cambridge Philosophical Society 53 (4), 800-816, 1957-10
Cambridge University Press (CUP)
