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Geometric Vector Orthogonal Rotation Method in Multiple-Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Shigeo Kashiwagi
Shigeo Kashiwagi*
Affiliation:
Itabashi-Ku, Tokyo, Japan
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Abstract

An objective method for the orthogonal rotation of factors which gives results closer to the graphic method is proposed. First, the fact that the varimax method does not always satisfy simple-structure criteria, e.g., the positive manifold and the level contributions of all factors, is pointed out. Next, the principles of our method which are based on “geometric vector” are discussed, and the computational procedures for this method are explained using Harman and Holzinger's eight physical variables. Finally, six numerical examples by our method are presented, and it is shown that they are very close to the factors obtained from empirical studies both in values and in signs.

Type
Original Paper
Information
Psychometrika , Volume 30 , Issue 4 , December 1965 , pp. 515 - 530
Copyright
Copyright © 1965 Psychometric Society

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Footnotes

*

The author thanks Dr. H. Azuma of Japan Women's University for his help in preparing the English manuscript. And the author acknowledges the critical readings and comments of Dr. H. Azuma, Dr. H. F. Kaiser, Mr. H. Ikeda, and Mr. S. Shiba.

References

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