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Geometrical representation of two methods of linear least squares multiple correlation

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Abstract

Geometrical properties and relationships of the Doolittle and square root methods of multiple correlation, as represented in the variable subspace of an orthogonal person space, are shown. The method of representation is also useful for depicting zero-order and partial correlations, as well as for the more general problem of the combination of variables.

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Fruchter, B., Anderson, H.E. Geometrical representation of two methods of linear least squares multiple correlation. Psychometrika 26, 433–442 (1961). https://doi.org/10.1007/BF02289772

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