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A Comparative Study of Three Methods of Rotation

Published online by Cambridge University Press:  01 January 2025

Benjamin Fruchter  and
Edwin Novak
Benjamin Fruchter
Affiliation:
University of Texas
Edwin Novak
Affiliation:
Systems Development Corp.
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Abstract

Three methods of rotation (the graphical, the Thurstone analytical, and the direct-rotational) were applied to the matrix of centroid loadings for 35 variables, to determine which method is the most efficient from theoretical and practical standpoints. The direct-rotational method provided the most information for determining the rank of the configuration and was most economical with respect to time required to reach a rotational solution. The analytical method required the least number of judgmental decisions and was the most objective. The graphical method was the most laborious but had a slight advantage with regard to the number of near-zero loadings in the rotational solution.

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 3 , September 1958 , pp. 211 - 221
Copyright
Copyright © 1958 The Psychometric Society

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References

Carroll, J. B. An analytical solution for approximating simple structure in factor analysis. Psychometrika, 1953, 18, 23–38.CrossRefGoogle Scholar
Fruchter, B. Orthogonal and oblique solutions to a battery of aptitude, achievement, and background variables. Educ. psychol. Measmt, 1952, 12, 20–38.CrossRefGoogle Scholar
Fruchter, B. Introduction to factor analysis, New York: Van Nostrand, 1954.Google Scholar
Harris, C. W. Direct rotation to primary structure. J. educ. Psychol., 1948, 39, 449–468.Google Scholar
Harris, C. W. Projections of three types of factor patterns. J. exp. Educ., 1949, 17, 335–345.CrossRefGoogle Scholar
Harris, C. W. and Knoell, D. M. The oblique solution in factor analysis. J. educ. Psychol., 1948, 39, 385–403.CrossRefGoogle Scholar
Neuhaus, J. O. and Wrigley, C. The quartimax method: an analytical approach to orthogonal simple structure. Brit. J. statist. Psychol., 1954, 7, 81–91.CrossRefGoogle Scholar
Saunders, D. R. An analytical method for rotation to orthogonal simple structures. Educational Testing Service Research Bulletin, 53-10, August 1953.CrossRefGoogle Scholar
Thurstone, L. L. An analytical method for simple structure. Psychometrika, 1954, 19, 173–182.CrossRefGoogle Scholar
Zimmerman, W. S. A simple graphical method for orthogonal rotation of axes. Psychometrika, 1946, 11, 51–55.CrossRefGoogle ScholarPubMed