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A Note on McDonald’s Generalization of Principal Components Analysis

Published online by Cambridge University Press:  01 January 2025

Lester C. Shine II
Lester C. Shine II*
Affiliation:
The University of Dayton
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Abstract

It is shown that McDonald’s generalization of classical Principal Components Analysis to groups of variables maximally channels the total variance of the original variables through the groups of variables acting as groups. A useful equation is obtained for determining the vectors of correlations of the L2 components with the original variables. A calculation example is given.

Type
Original Paper
Information
Psychometrika , Volume 37 , Issue 1 , March 1972 , pp. 99 - 101
Copyright
Copyright © 1972 The Psychometric Society

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References

McDonald, R. A unified treatment of the weighting problem. Psychometrika, 1968, 33, 351–381CrossRefGoogle ScholarPubMed