, Volume 45, Issue 1, pp 69-97

First online:

Principal component analysis of three-mode data by means of alternating least squares algorithms

  • Pieter M. KroonenbergAffiliated withUniversity of Leiden
  • , Jan de LeeuwAffiliated withUniversity of Leiden

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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.

Key words

three-mode principal component analysis alternating least squares factor analysis multidimensional scaling individual differences scaling simultaneous iteration confusion of consonants