Individual Differences Models

I. Borg and J. Lingoes
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I. Borg: Justus-Liebig-Universität, Department of Psychology
J. Lingoes: University of Michigan, Computing Center

Chapter 20 in Multidimensional Similarity Structure Analysis, 1987, pp 329-355 from Springer

Abstract: Abstract The Procrustes problem is generalized to the case of more than two configurations. After fitting a set of configurations to each other, their average configuration is stretched and compressed along its dimensions to match optimally each individual configuration in turn. The dimensional weights are interpreted as interindividual differences in the importance of the dimensions of an underlying common structure. In the error-free case, this model holds only if the data satisfy two conditions. Other such fitting transformations are discussed.

Keywords: generalized Procrustes problem; centroid configuration; average configuration; individual configuration; dimensional weighting; Horan model; subject space; idiosyncratic rotation; continuous transformation; vector weighting; perspective model; idiosyncratic perspective origin; admissible and inadmissible fitting parameters; PINDIS; group stimulus space; weighted Euclidean distance; INDSCAL; common space index; orthogonal projection; column space of a matrix; diagonality index; COSPA; ALSCAL; subjective metrics model; subjective transformations model; matrix conditional; INDSCAL model (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-1-4612-4768-5_20

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