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A Note on Identification in the Oblique and Orthogonal Factor Analysis Models

Published online by Cambridge University Press:  01 January 2025

James Algina
James Algina*
Affiliation:
University of Florida
*
Requests for reprints should be sent to James Atgina, 1413 Norman Hall, University of Florida, Gainesville, FL 32611.
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Abstract

Conditions for removing the indeterminancy due to rotation are given for both the oblique and orthogonal factor analysis models. The conditions indicate why published counterexamples to conditions discussed by Jöreskog are not identifiable.

Keywords

identificationorthogonal rotationoblique rotationfactor analysis
Type
Notes And Comments
Information
Psychometrika , Volume 45 , Issue 3 , September 1980 , pp. 393 - 396
Copyright
Copyright © 1980 The Psychometric Society

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Footnotes

The author would like to thank Gordon Bechtel and the reviewers for their comments and suggestions.

References

Dunn, J. E. A note on a sufficiency condition for uniqueness of a restricted factor matrix. Psychometrika, 1973, 38, 141–143.CrossRefGoogle Scholar
Fisher, F. S. The identification problem in econometrics, 1966, New York: McGraw Hill, Inc..Google Scholar
Jennrich, R. I. Rotational equivalence of factor loading matrices with specified values. Psychometrika, 1978, 43, 421–426.CrossRefGoogle Scholar
Jöreskog, K. G. A general approach to confirmatory factor analysis. Psychometrika, 1969, 34, 183–202.CrossRefGoogle Scholar
Jöreskog, K. G. Authors addendum, February, 1979. In Jöreskog, K. G. & Sörbom, D. (Eds.), Advances in Factor Analysis and Structural Equation Models, 1979, Boston: Abt Books.Google Scholar