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Transformation of a three-mode multidimensional scaling solution to indscal form
Authors:Dr. Robert C. MacCallum
Affiliation:(1) Department of Psychology, The Ohio State University, 404C West 17th Ave., 43210 Columbus, Ohio
Abstract:Relations between Tucker's three-mode multidimensional scaling and Carroll and Chang's INDSCAL are discussed. The possibility is raised that it may be profitable to attempt to transform a three-mode solution to the general form of an INDSCAL solution. Operationally, this involves transforming the three-mode core matrix so that each section is, as nearly as possible, a diagonal matrix. A technique is developed for accomplishing such a transformation, and is applied to two sets of data from the literature. Results indicate that the process is both feasible and valuable, providing useful information on the relative appropriateness of the two models.
Keywords:individual differences models  three-way scaling models
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