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Orthomax Rotation and Perfect Simple Structure

Published online by Cambridge University Press:  01 January 2025

Coen A. Bernaards  and
Robert I. Jennrich
Coen A. Bernaards*
Affiliation:
Division of Cancer Prevention and Control Research, UCLA Jonsson Comprehensive Cancer Center Department of Statistics, University of California, Los Angeles
Robert I. Jennrich
Affiliation:
Department of Statistics, University of California, Los Angeles
*
Requests for reprints should be sent to Coen A. Bernaards, AMC Cancer Research Cemea, 1600 Pierce Street, Denver, CO 80214. E-Mail: bernaardsc@amc.org
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Abstract

A loading matrix has perfect simple structure if each row has at most one nonzero element. It is shown that if there is an orthogonal rotation of an initial loading matrix that has perfect simple structure, then orthomax rotation with 0 ≤γ ≤ 1 of the initial loading matrix will produce the perfect simple structure. In particular, varimax and quartimax will produce rotations with perfect simple structure whenever they exist.

Keywords

factor analysisorthogonal rotationquartimaxvarimax
Type
Theory And Methods
Information
Psychometrika , Volume 68 , Issue 4 , December 2003 , pp. 585 - 588
Copyright
Copyright © 2003 The Psychometric Society

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