By Ehtibar N. Dzhafarov Hans Colonius
Contents: A.A.J. Marley, Foreword. E.N. Dzhafarov, H. Colonius, common Minimality: A basic legislations of Discrimination. E.N. Dzhafarov, H. Colonius, Reconstructing Distances between gadgets From Their Discriminability. R.D. Luce, R. Steingrimsson, international Psychophysical Judgments of depth: precis of a concept and Experiments. J. Zhang, Referential Duality and Representational Duality within the Scaling of Multidimensional and Infinite-Dimensional Stimulus house. J.D. Balakrishnan, target research of type habit: functions to Scaling. J.T. Townsend, J. Aisbett, J. Busemeyer, A. Assadi, basic acceptance thought and method for Dimensional Independence on basic Cognitive Manifolds.
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Additional resources for Measurement And Representation of Sensations (Scientific Psychology Textbooks)
Recent progress in mathematical psychology (pp. 47—63). Mahwah, NJ: Erlbaum Associates, Inc. , Robertson, A. , & Fielder, G. H. (1992). Discrimination ellipsoids of aperture and simulated surface colors by matching and paired comparison. Color Research and Applications, 17, 6—23. Krumhansl, C. L. (1978). Concerning the applicability of geometric models to similarity data: The interrelationship between similarity and spatial density. Psychological Review, 85, 445—463. , & Ger, R. (1990). Iterative functional equations.
9. CANONICAL REPRESENTATION OF STIMULI AND DISCRIMINATION PROBABILITIES We have seen that the conjunction of Regular Minimality and Nonconstant Self-Dissimilarity has a powerful restrictive eect on the possible theories of perceptual discrimination. In particular, it rules out two most traditional ways of modeling discrimination probabilities: by monotonically relating them to some distance measure imposed on stimulus space, and by deriving them from well-behaved random representations selectively attributable to stimuli being compared.
A1 and a2 in O1 are psychologically equal because # (a1 > y) = # (a2 > y) for every y in O2 ; these two stimuli therefore are assigned a common label, a. Equivalence classes a and b are treated as single stimuli in O1 and O2 , respectively, with # (a> b) put equal to # (x> y) for any x M a> y M b. The Regular Minimality condition is assumed to hold for these “reduced” stimulus sets (sets of equivalence classes, shown by the two straight lines). 7 1 1 Thus, fx1 ; x2 g ! xa ; fy1 ; y2 g ! ya ; and so forth.