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Image and Anti-Image Covariance Matrices from a Correlation Matrix that may be Singular

Published online by Cambridge University Press:  01 January 2025

Henry F. Kaiser
Henry F. Kaiser*
Affiliation:
University of California, Berkeley
*
Requests for reprints should be sent to Professor Henry F. Kaiser, School of Education, University of California, Berkeley, California 94720.
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Abstract

Following the work of Tucker, Cooper, and Meredith, image and anti-image covariance matrices from a correlation matrix that may be singular are derived.

Keywords

covariancesingular matriximagesanti-images
Type
Original Paper
Information
Psychometrika , Volume 41 , Issue 3 , September 1976 , pp. 295 - 300
Copyright
Copyright © 1976 The Psychometric Society

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References

Bentler, P. M. Some extensions of image analysis. Psychometrika, 1969, 34, 77–83.CrossRefGoogle Scholar
Guttman, L. Image theory for the structure of quantitative variates. Psychometrika, 1953, 18, 277–296.CrossRefGoogle Scholar
Tucker, L. R., Cooper, L. G., and Meredith, W. M. Obtaining squared multiple correlations from a correlation matrix which may be singular. Psychometrika, 1972, 37, 143–148.CrossRefGoogle Scholar