A biased random walk model for two choice reaction times
type: Item
instance of: scholarly article
title: A biased random walk model for two choice reaction times
zbMATH Open document ID: 0545.62074
DOI: 10.1016/0022-2496(83)90011-1
author: F. Gregory Ashby
published in: Journal of Mathematical Psychology
publication date: 1983-01-01T00:00:00Z
review text: This paper generalizes \textit{M. Stone's} [Psychometrika 25, 251-260 (1960; Zbl 0114.115)] random walk model of two choice response times that is based on the sequential probability test and that predicts equal correct and incorrect response times to the same response. The generalized version allows a bias of the type found in signal detection theory to enter directly into the accumulation process. The resulting biased sequential probability ratio test model can predict any relation between correct and incorrect mean response times. The biased sequential probability ratio test model, the classical sequential ratio test and the symmetric relative judgement theory model are all fit to the data of a response time deadline experiment reported by \textit{D. M. Green} and \textit{R. D. Luce}, Attention performance, Academic Press (1973).
Mathematics Subject Classification ID: 62P15
Mathematics Subject Classification ID: 62L10
Mathematics Subject Classification ID: 62L05
zbMATH DE Number: 3868473
zbMATH Keywords: random walk model
zbMATH Keywords: two choice response times
zbMATH Keywords: biased sequential probability ratio test model
zbMATH Keywords: correct and incorrect mean response times
zbMATH Keywords: classical sequential ratio test
zbMATH Keywords: symmetric relative judgement theory model
reviewed by: Marie Hušková
MaRDI profile type: Publication
full work available at URL: 0022-2496(83)90011-1
OpenAlex ID: W2095121438
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cites work: A sequential theory of psychological discrimination
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cites work: Models for choice-reaction time
cites work: On the relations between random walk models for two-choice response times
cites work: A note on the sequential probability ratio test
cites work: Q3727777
cites work: Q5801671
cites work: Optimum Character of the Sequential Probability Ratio Test
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description: scientific article; zbMATH DE number 3868473