Mathematical Geology

, Volume 29, Issue 1, pp 1–16 | Cite as

Multiple group principal component analysis

  • Richard A. Reyment
Article
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Revised:

Abstract

Common Principal Component Analysis is a generalization of standard principal components to several groups under the rigid mathematical assumption of equality of all latent vectors across groups (i.e., principal component directions), whereas the latent roots are allowed to vary between groups (differing inflations of dispersion ellipsoids). In practice, data that fulfill these strict requirements are relatively rare. Examples from palaeontology are used to illustrate the principles. Compositional data can be made to fit the Common Principal Component (CPC) model by the appropriate logratio covariance matrix.

Key Words

common principal components multiple groups compositions 
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Copyright information

© International Association for Mathematical Geology 1997

Authors and Affiliations

  • Richard A. Reyment
    • 1
  1. 1.Institute of Earth SciencesUppsala UniversityUppsalaSweden

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