A Sequential Theory of Psychological Discrimination

Link, S. W.; Heath, R. A.

doi:10.1007/bf02291481

Cited by 492Psychometric Methodologies and TestingVisual perception and processing mechanismsDecision-Making and Behavioral Economics

A Sequential Theory of Psychological Discrimination

Link, S. W., Heath, R. A.·1975·Psychometrika

DOI 10.1007/bf02291481

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Abstract

A theory of discrimination which assumes that subjects compare psychological values evoked by a stimulus to a subjective referent is proposed. Momentary differences between psychological values for the stimulus and the referent are accumulated over time until one or the other of two response thresholds is first exceeded. The theory is analyzed as a random walk bounded between two absorbing barriers. A general solution to response conditioned expected response times is computed and the important role played by the moment generating function (mgf) for increments to the random walk is examined. From considerations of the mgf it is shown that unlike other random walk models [Stone, 1960; Laming, 1968] the present theory does not imply that response conditioned mean correct and error times must be equal. For two fixed stimuli and a fixed referent it is shown that by controlling values of response thresholds, subjects can produce Receiver Operating Characteristics similar or identical to those predicted by Signal Detection Theory, High Threshold Theory, or Low Threshold Theory.

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Many models proposed to explain the coordination of reaction time and choice accuracy in 2-choice tasks share a common feature: a termination bound is applied to some form of evidence representation, the decision variable.
“Many models are proposed to explain the coordination of RT and choice accuracy in 2-choice tasks 4,18,25–27. These models share a common feature: a termination bound is applied to some form of evidence representation, the decision variable.”
From Decision-making with multiple alternatives (2008) · cites this paper as [4]

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Authors: Link, S. W., & Heath, R. A.
Affiliations: McMaster University (CA)
ORCID: Link, S. W.
Venue: Psychometrika
Publisher: Cambridge University Press (CUP)
Published: 1975-03
Volume: 40
Issue: 1
Pages: 77-105
ISSN: 0033-3123 (ISSN-L)
1860-0980
DOI: 10.1007/bf02291481
OpenAlex: W2150648562
Cited by: 492
References: 26
Citations by year: 2026: 18 · 2025: 7 · 2024: 8 · 2023: 17 · 2022: 9 · 2021: 13 · 2020: 16 · 2019: 15 · 2018: 17 · 2017: 23 · 2016: 19 · 2015: 27 · 2014: 27 · 2013: 18 · 2012: 21
FWCI: 5.40
Type: journal article
Language: en
Open access: closed
Licence: www.cambridge.org/core/terms (unspecified, 18204 d)
Locations: Psychometrika (publishedVersion)
RePEc: Research Papers in Economics (submittedVersion)
Topics: Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
Life Sciences › Neuroscience › Cognitive Neuroscience › Visual perception and processing mechanisms
Social Sciences › Decision Sciences › General Decision Sciences › Decision-Making and Behavioral Economics
Keywords: sequential decision theory, random walks, absorbing barriers, response threshold, moment generating function, receiver operating characteristic, signal detection theory

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A Sequential Theory of Psychological Discrimination

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