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Recently, Timmerman and Kiers proposed an effective procedure for choosing the numbers of components in Tucker3 analysis, a kind of component analysis of three-way data. The procedure, however, is rather time-consuming, relying on very many complete Tucker3 analyses. Here, an alternative procedure is proposed, which basically relies on a single, quick analysis of the three-way data set. In a simulation study it was found that the new procedure is comparable in its effect to the original procedure.
Kiers et al. (2003) studied this question.