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

A note on McDonald's generalization of principal components analysis

  • Lester C. ShineII


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.


Principal Component Analysis Total Variance Public Policy Statistical Theory Original Variable 
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  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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