Finite and infinite state confusion models

Jan Van Santen, Donald Bamber

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A confusion model is defined as a model that decomposes response probabilities in stimulus identification experiments into perceptual parameters and response parameters. Historically, confusion models fall into two groups. Models in Group I, which includes Townsend's (Perception and Psychophysics, 1971, 9, 40-50) overlap model, were developed on the basis of the notion that stimulus identification is mediated by a finite number of internal states. We call the general class of models that have this processing interpretation finite state confusion models. Models in Group II, which includes Luce's (R. O. Luce et al., Eds., Handbook of Mathematical Psychology (Vol. I), New York: Wiley, 1963) biased choice model, were not developed on the basis of an explicit processing interpretation. It is shown here that models in Group II are not finite state confusion models. We prove in addition that except for Falmagne's (Journal of Mathematical Psychology, 1972, 9, 206-224) simply biased model models in Group II belong to a certain class of infinite state confusion models, namely, models asserting that stimulus identification is mediated by a continuous space of vectors representing detector activation levels.

Original languageEnglish (US)
Pages (from-to)101-111
Number of pages11
JournalJournal of Mathematical Psychology
Volume24
Issue number2
DOIs
StatePublished - 1981
Externally publishedYes

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Confusion
Psychophysics
Psychology
Model
Biased
Identification (control systems)
Choice Models
Processing

ASJC Scopus subject areas

  • Applied Mathematics
  • Experimental and Cognitive Psychology

Cite this

Finite and infinite state confusion models. / Van Santen, Jan; Bamber, Donald.

In: Journal of Mathematical Psychology, Vol. 24, No. 2, 1981, p. 101-111.

Research output: Contribution to journalArticle

Van Santen, Jan ; Bamber, Donald. / Finite and infinite state confusion models. In: Journal of Mathematical Psychology. 1981 ; Vol. 24, No. 2. pp. 101-111.
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