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The Development of Hierarchical Factor Solutions

Published online by Cambridge University Press:  01 January 2025

John Schmid  and
John M. Leiman
John Schmid
Affiliation:
Air Force Personnel and Training Research Center
John M. Leiman
Affiliation:
Air Force Personnel and Training Research Center
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Abstract

Although simple structure has proved to be a valuable principle for rotation of axes in factor analysis, an oblique factor solution often tends to confound the resulting interpretation. A model is presented here which transforms the oblique factor solution so as to preserve simple structure and, in addition, to provide orthogonal reference axes. Furthermore, this model makes explicit the hierarchical ordering of factors above the first-order domain.

Type
Original Paper
Information
Psychometrika , Volume 22 , Issue 1 , March 1957 , pp. 53 - 61
Copyright
Copyright © 1957 The Psychometric Society

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Footnotes

*

Grateful acknowledgment is given to Dr. Lloyd G. Humphreys for his encouragement and valuable suggestions in the development of this task. This investigation was carried out under the Air Force Personnel and Training Research Center program in support of Project Nos. 7702 and 7950. Permission is granted for reproduction, translation, publication, and use or disposal in whole or in part by or for the United States Government.

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