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The Determination of Successive Principal Components Without Computation of Tables of Residual Correlation Coefficients

Published online by Cambridge University Press:  01 January 2025

Ledyard R. Tucker
Ledyard R. Tucker*
Affiliation:
Psychometric Laboratory, The University of Chicago
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Abstract

A procedure is presented for determining the successive principal components of a correlation matrix where it is not necessary to compute the successive tables of residual correlations. The original correlation matrix is bordered with a new row and column for each principal component that is determined.

Type
Original Paper
Information
Psychometrika , Volume 9 , Issue 3 , September 1944 , pp. 149 - 153
Copyright
Copyright © 1944 The Psychometric Society

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Footnotes

*

This paper is one of a series of reports on the development of multiple factor analysis in the study of primary human abilities which have been supported by research grants from the Carnegie Corporation of New York and the facilities of the Psychometric Laboratory, which have been provided by the Social Science Research Committee of The University of Chicago.

References

Hotelling, Harold. Analysis of a complex of statistical variables into principal components. J. educ. Psychol., 1933, 24, 417–441.CrossRefGoogle Scholar
Hotelling, Harold. Simplified calculation of principal components. Psychometrika, 1936, 1, 27–35.CrossRefGoogle Scholar