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Procrustes Matching by Congruence Coefficients

Published online by Cambridge University Press:  01 January 2025

Bruce Korth  and
L.R Tucker
Bruce Korth*
Affiliation:
University of Illinois at Chicago Circle
L.R Tucker
Affiliation:
University of Illinois at Urbana-Champaign
*
Requests for reprints should be sent to Dr. Bruce Korth, Department of Psychology, University of Illinois at Chicago Circle, Box 4348, Chicago, Illinois 60680
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Abstract

Matching by Procrustes methods involves the transformation of one matrix to match with another. A special least squares criterion, the congruence coefficient, has advantages as a criterion for some factor analytic interpretations. A Procrustes method maximizing the congruence coefficient is given. This solution is identical to Mosier's [1939] approximate solution, but is an exact solution for maximum congruence.

Keywords

factor analysis
Type
Original Paper
Information
Psychometrika , Volume 41 , Issue 4 , December 1976 , pp. 531 - 535
Copyright
Copyright © 1976 The Psychometric Society

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References

Reference Note

Tucker, L. R. A method of synthesis of factor analysis studies, 1951, Washington, D.C.: Department of the Army.CrossRefGoogle Scholar

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