Dynamic Factorial Analysis by Means of Tucker3 Method

Jeannette Amaya & Pedro Nel Pacheco

 

 

Abstract

The Tucker3 method, proposed for Leyard Tucker en 1966, identified between the techniques designed to data three-mode analysis, is considered a generalization of the Principal Component Analysis (PCA) and the Singular Value Decomposition (SVD), and use matricial management and decomposition procedures to estimation of the model parameters and correspond graphic representation in spaces of lower dimension to the original data array. Thorough this method is possible to explain the information of a three-mode data conjoint summarizing the entities associates for means of few components, and to describe the possible interactions between the three sources of variation in the data using one central array. In this paper to describe the theoretic principles and the analytic supports of the Tucker3 method, which are exemplified using hypothetical data.

 

Key words: Dynamic factorial analysis, Cubic data, Tucker3 model, Singular value decomposition, Factorial planes, Trajectories.

 

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