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The orthogonal approximation of an oblique structure in factor analysis

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Abstract

A procedure is derived for obtaining an orthogonal transformation which most nearly transforms one given matrix into another given matrix, according to some least-squares criterion of fit. From this procedure, three analytic methods are derived for obtaining an orthogonal factor matrix which closely approximates a given oblique factor matrix. The case is considered of approximating a specified subset of oblique vectors by orthogonal vectors.

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Authors and Affiliations

  1. Massachusetts Institute of Technology, USA

    Bert F. Green

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  1. Bert F. Green
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Additional information

Part of this research was carried out while the author was a psychometric fellow at the Educational Testing Service, Princeton, New Jersey.

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Green, B.F. The orthogonal approximation of an oblique structure in factor analysis. Psychometrika 17, 429–440 (1952). https://doi.org/10.1007/BF02288918

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  • DOI: https://doi.org/10.1007/BF02288918

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