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A direct approach to individual differences scaling using increasingly complex transformations
Authors:James C. Lingoes  Ingwer Borg
Affiliation:(1) Rheinisch-Westfälische Technische Hochschule, Germany;(2) The Universityo of Michigan, 1005 North University Building, 48109 Ann Arbor, Michigan
Abstract:A family of models for the representation and assessment of individual differences for multivariate data is embodied in a hierarchically organized and sequentially applied procedure called PINDIS. The two principal models used for directly fitting individual configurations to some common or hypothesized space are the dimensional salience and perspective models. By systematically increasing the complexity of transformations one can better determine the validities of the various models and assess the patterns and commonalities of individual differences. PINDIS sheds some new light on the interpretability and general applicability of the dimension weighting approach implemented by the commonly used INDSCAL procedure.
Keywords:individual differences scaling  procrustean transformations  matrix fitting  configuration similarity
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