Three-Way MDS Models
In the Procrustean context, the dimension-weighting model was used in order to better match a set of K given configurations X k to each other. We now ask how a solution of the dimension-weighting model can be found directly from the set of K proximity matrices without first deriving individual MDS spaces X k for each individual k. We discuss how dimension weighting can be incorporated into a framework for minimizing Stress. Another popular algorithm for solving this problem, indscal, is considered in some detail. Then, some algebraic properties of dimension-weighting models are investigated. Finally, matrix-conditional and -unconditional approaches are distinguished, and some general comments on dimension-weighting models are made. Table 21.1 gives an overview of the (three-way) Procrustean models discussed so far and the three-way MDS models of this chapter.
KeywordsDimension Weight Weighted Euclidean Distance Subject Space Proximity Matrice Euclidean Model
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