Abstract
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.
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Hohn, M.E. Principal components analysis of three-way tables. Mathematical Geology 11, 611–626 (1979). https://doi.org/10.1007/BF01031887
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DOI: https://doi.org/10.1007/BF01031887