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Psychometrika

, Volume 37, Issue 1, pp 99–101 | Cite as

A note on McDonald's generalization of principal components analysis

  • Lester C. ShineII
Article

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 theL2 components with the original variables. A calculation example is given.

Keywords

Principal Component Analysis Total Variance Public Policy Statistical Theory Original Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Reference

  1. McDonald, R. A unified treatment of the weighting problem.Psychometrika, 1968,33, 351–381.Google Scholar

Copyright information

© Psychometric Society 1972

Authors and Affiliations

  • Lester C. ShineII
    • 1
  1. 1.The University of DaytonUSA

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