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Factorial Rotation to Simple Structure and Maximum Similarity

Published online by Cambridge University Press:  01 January 2025

Bruce Bloxom
Bruce Bloxom*
Affiliation:
Educational Testing Service
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Abstract

When the regression of factored variates on variates defining subpopulations (or experimental groups) is (a) nonlinear or (b) heteroscedastic, an existing solution to the problem of factorial invariance does not apply. This paper presents an approach which can be used in place of the existing solution and derives a method for obtaining maximally similar orthogonal simple structure factor pattern matrices across subpopulations. The method is applied to data from three experimental groups.

Type
Original Paper
Information
Psychometrika , Volume 33 , Issue 2 , June 1968 , pp. 237 - 247
Copyright
Copyright © 1968 The Psychometric Society

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Footnotes

*

The writer wishes to express his gratitude to Professor Paul Horst for his many helpful suggestions in the development presented here. Credit is also due to William Meredith and Michael Browne for their helpful comments. The study was supported in part by Office of Naval Research Contract Nonr-477(33) and USPHS Research Grant MH00743-08 (Principal Investigator: Paul Horst).

References

Bloxom, B. M. Anger-arousing instructions and the simplex in a personality questionnaire. Technical Report, Office of Naval Research Contract Nonr-477(33), and USPHS Research Grant MHOO743-08 (Principal Investigator: Paul Horst), 1966.Google Scholar
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Meredith, W. Rotation to achieve factorial invariance. Psychometrika, 1964, 29, 187–206.CrossRefGoogle Scholar