Abstract
A new method to estimate the parameters of Tucker's three-mode principal component model is discussed, and the convergence properties of the alternating least squares algorithm to solve the estimation problem are considered. A special case of the general Tucker model, in which the principal component analysis is only performed over two of the three modes is briefly outlined as well. The Miller & Nicely data on the confusion of English consonants are used to illustrate the programs TUCKALS3 and TUCKALS2 which incorporate the algorithms for the two models described.
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Reference notes
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Kroonenberg, P.M., de Leeuw, J. Principal component analysis of three-mode data by means of alternating least squares algorithms. Psychometrika 45, 69–97 (1980). https://doi.org/10.1007/BF02293599
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DOI: https://doi.org/10.1007/BF02293599