Physical and Psychological Spaces

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 14 in Multidimensional Similarity Structure Analysis, 1987, pp 219-235 from Springer

Abstract: Abstract An ordinal SSA approach where we are interested in the form of the transformation function of data into distances or the shape of the regression curve in the Shepard diagram is discussed in the context of determining the shape of the generalization gradient in learning. This leads to the question of whether distances different from the Euclidean may be more appropriate. A family of distance functions known as Minkowski distances is investigated mathematically and psychologically.

Keywords: physical and psychological stimulus space; geodetic line; metric space; distance axioms; excitation model; discrimination model; dominance model; iso-similarity contour; Minkowski metric; city-block distance; Euclidean distance; dominance metric; Minkowski p-parameter; composition rule; semimetric; partial isometry; trivial distance; Hamming distance; measure function; distance between sets; feature matching process (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-1-4612-4768-5_14

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