Explicit moments of decision times for single- and double-threshold drift-diffusion processes

Title:
Explicit moments of decision times for single- and double-threshold drift-diffusion processes
Authors:
Srivastava, V.; Holmes, Philip; Simen, Patrick
Abstract:
We derive expressions for the first three moments of the decision time (DT) distribution produced via first threshold crossings by sample paths of a drift-diffusion equation. The “pure” and “extended” diffusion processes are widely used to model two-alternative forced choice decisions, and, while simple formulae for accuracy, mean DT and coefficient of variation are readily available, third and higher moments and conditioned moments are not generally available. We provide explicit formulae for these, describe their behaviors as drift rates and starting points approach interesting limits, and, with the support of numerical simulations, discuss how trial-to-trial variability of drift rates, starting points, and non-decision times affect these behaviors in the extended diffusion model. Both unconditioned moments and those conditioned on correct and erroneous responses are treated. We argue that the results will assist in exploring mechanisms of evidence accumulation and in fitting parameters to experimental data.
Citation:
Srivastava, V., P. Holmes, and P. Simen. 2016. "Explicit moments of decision times for single- and double-threshold drift-diffusion processes." Journal of Mathematical Psychology 75: 96-109.
Publisher:
Elsevier
DATE ISSUED:
2016-12
Department:
Neuroscience
Type:
Article
PUBLISHED VERSION:
10.1016/j.jmp.2016.03.005
Notes:
Special Issue in Honor of R. Duncan Luce.
PERMANENT LINK:
http://hdl.handle.net/11282/620278

Full metadata record

DC FieldValue Language
dc.contributor.authorSrivastava, V.en
dc.contributor.authorHolmes, Philipen
dc.contributor.authorSimen, Patricken
dc.date.accessioned2017-01-12T13:55:37Z-
dc.date.available2017-01-12T13:55:37Z-
dc.date.issued2016-12-
dc.identifier.citationSrivastava, V., P. Holmes, and P. Simen. 2016. "Explicit moments of decision times for single- and double-threshold drift-diffusion processes." Journal of Mathematical Psychology 75: 96-109.en
dc.identifier.issn0022-2496-
dc.identifier.urihttp://hdl.handle.net/11282/620278-
dc.description.abstractWe derive expressions for the first three moments of the decision time (DT) distribution produced via first threshold crossings by sample paths of a drift-diffusion equation. The “pure” and “extended” diffusion processes are widely used to model two-alternative forced choice decisions, and, while simple formulae for accuracy, mean DT and coefficient of variation are readily available, third and higher moments and conditioned moments are not generally available. We provide explicit formulae for these, describe their behaviors as drift rates and starting points approach interesting limits, and, with the support of numerical simulations, discuss how trial-to-trial variability of drift rates, starting points, and non-decision times affect these behaviors in the extended diffusion model. Both unconditioned moments and those conditioned on correct and erroneous responses are treated. We argue that the results will assist in exploring mechanisms of evidence accumulation and in fitting parameters to experimental data.en
dc.language.isoen_USen
dc.publisherElsevieren
dc.identifier.doi10.1016/j.jmp.2016.03.005-
dc.subject.departmentNeuroscienceen_US
dc.titleExplicit moments of decision times for single- and double-threshold drift-diffusion processesen_US
dc.typeArticleen
dc.description.notesSpecial Issue in Honor of R. Duncan Luce.en_US
dc.identifier.journalJournal of Mathematical Psychologyen
dc.subject.keywordDecision timeen_US
dc.subject.keywordDiffusion modelen_US
dc.subject.keywordConditioned and unconditioned momentsen_US
dc.subject.keywordTemporal discriminationen_US
dc.subject.keywordResponse-timesen_US
dc.identifier.volume75en_US
dc.identifier.startpage96en_US
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