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Scalar Products

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 the notion of a scalar product, a function closely associated with distance, involving vectors. We then ask whether there are empirical similarity judgments which can be interpreted as scalar products. This leads to questions like “How much of A is contained in B?”. Scores from experiments asking this kind of question are used in different ways to build scalar products. Since distance judgments can be collected directly, but scalar products are easier to handle numerically, we ask whether distances can be converted into scalar products.

Suggested Citation

  • I. Borg & J. Lingoes, 1987. "Scalar Products," Springer Books, in: Multidimensional Similarity Structure Analysis, chapter 16, pages 250-269, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4768-5_16
    DOI: 10.1007/978-1-4612-4768-5_16
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