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Hierarchical relations among three-way methods. (English) Zbl 0760.62059

Summary: A number of methods for the analysis of three-way data are described and shown to be variants of principal components analysis (PCA) of the two- way supermatrix in which each two-way slice is “strung out” into a column vector. The methods are shown to form a hierarchy such that each method is a constrained variant of its predecessor. A strategy is suggested to determine which of the methods yields the most useful description of a given three-way data set.

MSC:

62H25 Factor analysis and principal components; correspondence analysis
62P15 Applications of statistics to psychology

Software:

PARAFAC; GEPCAM
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References:

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