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The Orthogonal Approximation of an Oblique Structure in Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Bert F. Green
Bert F. Green*
Affiliation:
Massachusetts Institute of Technology
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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.

Information

Type
Original Paper
Information
Psychometrika , Volume 17 , Issue 4 , December 1952, pp. 429 - 440
Copyright
Copyright © 1952 The Psychometric Society

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Footnotes

*

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

†

This problem was first brought to the attention of the author by Dr. Dorothy C. Adkins.

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