Principal components analysis of three-way tables

  • Michael Edward Hohn


A three-mode principal components method allows visualization of the structural or taxonomic relationships within three-way data tables. The fundamental model includes three sets of eigenvectors and a “core matrix” relating the principal components of each mode. Formal relationships between the method and the usual principal components formulation allow calculation of “loadings” and “scores” for each mode; taken with the core matrix, these provide a number of points of view in graphical analysis of three-mode data. The model compares favorably with alternative formulations in terms of simplicity of computation, generality, and symmetry of operation among the modes. An organic geochemical example illustrates the method.

Key words

principal components analysis factor analysis organic geochemistry paleoecology petrology 


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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • Michael Edward Hohn
    • 1
  1. 1.Organic Geochemistry Unit, School of ChemistryThe University of BristolBristolEngland

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