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Symbolic Multidimensional Scaling

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  • Groenen, P.J.F.
  • Terada, Y.

Abstract

__Abstract__ Multidimensional scaling (MDS) is a technique that visualizes dissimilarities between pairs of objects as distances between points in a low dimensional space. In symbolic MDS, a dissimilarity is not just a value but can represent an interval or even a histogram. Here, we present an overview of developments for symbolic MDS. We discuss how interval dissimilarities they can be represented by (concentric) circles or rectangles, how replications can be represented by a three-way MDS version, and show how nested intervals of distances can be obtained for representing histogram dissimilarities. The various models are illustrated by empirical examples.

Suggested Citation

  • Groenen, P.J.F. & Terada, Y., 2015. "Symbolic Multidimensional Scaling," Econometric Institute Research Papers EI 2015-15, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:78189
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    References listed on IDEAS

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    1. Groenen, P.J.F. & Winsberg, S. & Rodriguez, O. & Diday, E., 2006. "I-Scal: Multidimensional scaling of interval dissimilarities," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 360-378, November.
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    Cited by:

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    Keywords

    MDS; Multidimensional Scaling;

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