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Maximally Correlated Orthogonal Composites and Oblique Factor Analytic Solutions

Published online by Cambridge University Press:  01 January 2025

James M. Price  and
W. Alan Nicewander
James M. Price
Affiliation:
University of Oklahoma
W. Alan Nicewander*
Affiliation:
University of Oklahoma
*
Requests for reprint should be sent to Dr. W. Alan Nicewander, Department of Psychology, University of Oklahoma, Norman, Oklahoma 73069.
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Abstract

Kaiser presented a method for finding a set of derived orthogonal variables which correlate maximally with a set of original variables. A simpler, more complete derivation of Kaiser's result is given and compared to related types of transformations. The transformation derived here suggests a direct method for finding the orthogonal factor solution which is maximally similar to a given oblique solution.

Keywords

factor analysisProcrustestransformation
Type
Notes And Comments
Information
Psychometrika , Volume 42 , Issue 3 , September 1977 , pp. 439 - 442
Copyright
Copyright © 1977 The Psychometric Society

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References

Reference Notes

Schönemann, P. H. On the formal differentiation of traces and determinants, 1965, Chapel Hill: L. L. Thurstone Psychometric Laboratory, University of North Carolina.Google Scholar

References

Gibson, W. A. On the least-squares orthogonalization of an oblique transformation. Psychometrika, 1962, 27, 193–196.CrossRefGoogle Scholar
Green, B. F. The orthogonal approximation of an oblique structure in factor analysis. Psychometrika, 1952, 17, 429–440.CrossRefGoogle Scholar
Green, B. F. Best linear composites with a specified structure. Psychometrika, 1969, 34, 301–318.CrossRefGoogle Scholar
Johnson, R. M. The minimal transformation to orthonormality. Psychometrika, 1966, 31, 61–66.CrossRefGoogle Scholar
Kaiser, H. F. Uncorrelated linear composites maximally related to a complex of correlated observations. Educational and Psychological Measurement, 1967, 27, 3–6.CrossRefGoogle Scholar
Schönemann, P. H. A generalized solution of the orthogonal Procrustes problem. Psychometrika, 1966, 31, 1–10.CrossRefGoogle Scholar