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Simultaneous Factor Analysis of Dichotomous Variables in Several Groups

Published online by Cambridge University Press:  01 January 2025

Bengt Muthén  and
Anders Christoffersson
Bengt Muthén*
Affiliation:
University of Uppsala
Anders Christoffersson
Affiliation:
University of Uppsala
*
Requests for reprints should be sent to Bengt Muthén, Department of Psychology, University of California, Los Angeles, Los Angeles, California, 90024.
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Abstract

A new method is proposed for a simultaneous factor analysis of dichotomous responses from several groups of individuals. The method makes it possible to compare factor loading pattern, factor variances and covariances, and factor means over groups. The method uses information from first and second order proportions and estimates the model by generalized least-squares. Hypotheses regarding different degrees of invariance over groups may be evaluated by a large-sample chi-square test.

Keywords

group comparisonsinvariant measurement parametersfactor means
Type
Original Paper
Information
Psychometrika , Volume 46 , Issue 4 , December 1981 , pp. 407 - 419
Copyright
Copyright © 1981 The Psychometric Society

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Footnotes

The research of the first author was supported partly by the Bank of Sweden Tercentenary Foundation under project “Structural Equation Models in the Social Sciences”, project director Karl G. Jöreskog, and partly by the Swedish Research Council in the Humanistic and Social Sciences under project “Analysis of Contingency Tables,”. project director Bengt Muthén.

References

Reference Notes

Gruvaeus, G. T., & Jöreskog, K. G. A computer program for minimizing a function of a several variables, 1970, Princeton, N. J.: Educational Testing Service.Google Scholar
Muthén, B., & Dahlqvist, B. LADI-A—Latent analysis of dichotomous indicators: User's guide. Department of Statistics, University of Uppsala, 1980 (Preliminary version).Google Scholar

References

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