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A Note on Lawley’s Formulas for Standard Errors in Maximum Likelihood Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Robert I. Jennrich  and
Dorothy T. Thayer
Robert I. Jennrich
Affiliation:
University of California at Los Angeles and Educational Testing Service
Dorothy T. Thayer
Affiliation:
Educational Testing Service
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Abstract

Evidence is given to indicate that Lawley's formulas for the standard errors of maximum likelihood loading estimates do not produce exact asymptotic results. A small modification is derived which appears to eliminate this difficulty.

Information

Type
Original Paper
Information
Psychometrika , Volume 38 , Issue 4 , December 1973 , pp. 571 - 580
Copyright
Copyright © 1973 The Psychometric Society

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Footnotes

*

The authors are indebted to Walter Kristof and Thomas Stroud for their helpful reviews of an earlier version of this paper and particularly to D. N. Lawley for his review, comments, and encouragement.

References

Archer, C. O. and Jennrich, R. I. Standard errors for rotated factor loadings. Psychometrika, 1973, 38, 581–592CrossRefGoogle Scholar
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Lawley, D. N. Some new results in maximum likelihood factor analysis. Proceedings of the Royal Society of Edinburgh, 1967, A67, 256–264Google Scholar
Lawley, D. N. and Maxwell, A. E. Factor analysis as a statistical method, 1971, New York: American ElsevierGoogle Scholar