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Similarities Derived from 3-d Nonlinear Psychophysics: Variance Distributions

Published online by Cambridge University Press:  01 January 2025

Robert A. M. Gregson
Robert A. M. Gregson*
Affiliation:
Australian National University, Canberra
*
Requests for reprints should be sent to Robert A. M. Gregson, Department of Psychology, Australian National University, Canberra, ACT 0200 AUSTRALIA. Source code in Fortran is available via email: rag655@cscgpo.anu.edu.au.
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Abstract

Many-one mappings between stimulus properties and pairwise generated similarities are intrinsic to definitions of similarity. This of itself is not sufficient as a basis for predicting the variance associated with any single similarity judgment. An extension to cover this has to be made either by making ancillary assumptions about noise, or by using nonlinear models. The derivation of the variance of similarity judgments is made from the 3Γ process in nonlinear psychophysics. The idea of separability of dimensions in metric space theories of similarity is replaced by one parameter which represents the degree of a form of interdimensional crosscoupling

Keywords

psychophysicssimilaritynonlinear dynamics

Information

Type
Article
Information
Psychometrika , Volume 59 , Issue 1 , March 1994 , pp. 97 - 110
Copyright
Copyright © 1994 The Psychometric Society

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