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Tableau Algorithms for Factor Analysis by Instrumental Variable Methods

Published online by Cambridge University Press:  01 January 2025

Robert I. Jennrich*
Affiliation:
University of California, Los Angeles
*
Requests for reprints should be sent to Robert I. Jennrich, Department of Mathematics, University of California, Los Angeles, California 90024.

Abstract

Simple tableau algorithms are given for the noniterative instrumental variable (FABIN 2) and two stage regression (FABIN 3) factor loading estimates of Hägglund. Corresponding generalized least squares estimates of factor covariances and unique variances are introduced. An example is given for the purpose of illustration and comparison.

Type
Original Paper
Copyright
Copyright © 1987 The Psychometric Society

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Footnotes

This research was supported by NSF Grant MCS-8301587.

References

Bentler, P. M. (1982). Confirmatory factor analysis via noniterative estimation: A fast inexpensive method. Journal of Marketing Research, 19, 417424.CrossRefGoogle Scholar
Bentler, P. M. (1985). Theory and Implementation of EQS A Structural Equations Program, Los Angeles: BMDP Statistical Software.Google Scholar
Hägglund, G. (1982). Factor analysis by instrumental variables. Psychometrika, 47, 209222.CrossRefGoogle Scholar
Jöreskog, K. G., Sörbom, D. (1981). LISREL 5: Analysis of linear structural relationships by maximum likelihood and least squares methods, Uppsala: Department of Statistics, University of Uppsala.Google Scholar
Lawley, D. N., Maxwell, M. A. (1971). Factor analysis as a statistical method, New York: Elsevier.Google Scholar
Madansky, A. (1964). Instrumental variables in factor analysis. Psychometrika, 29, 105113.CrossRefGoogle Scholar