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Measures of Invariance and Comparability in Factor Analysis for Fixed Variables

Published online by Cambridge University Press:  01 January 2025

Samuel R. Pinneau  and
Albert Newhouse
Samuel R. Pinneau
Affiliation:
San Fernando Valley State College
Albert Newhouse
Affiliation:
University of Houston
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Abstract

New procedures are presented for measuring invariance and matching factors for fixed variables and for fixed or different subjects. Two of these, the coefficient of invariance for factor loadings and the coefficient of factor similarity, utilize factor scores computed from the different sets of factor loadings and one of the original standard score matrices. Another, the coefficient of subject invariance, is obtained by using one of the sets of factor loadings in conjunction with the different standard score matrices. These coefficients are correlations between factor scores of the appropriate matrices. When the best match of factors is desired, rather than degree of resemblance, the method of assignment is proposed.

Type
Original Paper
Information
Psychometrika , Volume 29 , Issue 3 , September 1964 , pp. 271 - 281
Copyright
Copyright © 1964 Psychometric Society

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