Thurstonian psychophysics: Case III
type: Item
instance of: scholarly article
title: Thurstonian psychophysics: Case III
zbMATH Open document ID: 0631.92025
DOI: 10.1016/0022-2496(87)90028-9
author: Geoffrey J. Iverson
published in: Journal of Mathematical Psychology
publication date: 1987-01-01T00:00:00Z
review text: Thurstonian psychophysics is examined from the viewpoint of a theory of ``random comparisons'' which generalizes the notion of ``discriminal differences''. The assumption of normality which appears in all varieties of Thurstone models becomes a consequence in this theory. The theoretical scheme developed in this work clarifies the status of Thurstone's assumption of normality, placing in the deeper probabilistic context of stability. Under reasonable assumptions the author arrives at satisfactory conclusions as to the uniqueness of the scale.
Mathematics Subject Classification ID: 91E30
zbMATH DE Number: 4027260
zbMATH Keywords: random comparisons
zbMATH Keywords: discriminal differences
zbMATH Keywords: assumption of normality
zbMATH Keywords: Thurstone models
zbMATH Keywords: stability
zbMATH Keywords: uniqueness of the scale
reviewed by: Agneta M. Balint
MaRDI profile type: Publication
full work available at URL: 0022-2496(87)90028-9
OpenAlex ID: W2039186506
cites work: Q5514010
cites work: Q5608953
cites work: Q5512461
cites work: Conditions under which Thurstone case III representations for binary choice probabilities are also Fechnerian
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cites work: Q5524944
cites work: Classification of concatenation measurement structures according to scale type
cites work: Q5598785
cites work: Q3745796
cites work: Axiomatic thermodynamics and extensive measurement
cites work: Q5345455
cites work: The relationship between Luce's choice axiom, Thurstone's theory of comparative judgment, and the double exponential distribution
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description: scientific article; zbMATH DE number 4027260