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Ordinal SSA by Iterative Optimization

In: Multidimensional Similarity Structure Analysis

Author

Listed:
  • I. Borg

    (Justus-Liebig-Universität, Department of Psychology)

  • J. Lingoes

    (University of Michigan, Computing Center)

Abstract

We consider how to solve an ordinal SSA problem by computation. First, an arbitrary configuration is chosen and each of its points is defined to represent a particular object of observation. Then, the distances are measured, and their order is compared with the order of the data. By permuting the distances into the order of the data, we obtain the rank images. They are used to determine the necessary point movements. The movements can be expressed in terms of analytical geometry, where distances are computed from the point coordinates rather than measured from the configuration. This allows formulation of an optimization procedure that can be programmed for a computer.

Suggested Citation

  • I. Borg & J. Lingoes, 1987. "Ordinal SSA by Iterative Optimization," Springer Books, in: Multidimensional Similarity Structure Analysis, chapter 2, pages 12-27, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4768-5_2
    DOI: 10.1007/978-1-4612-4768-5_2
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