On the mean and variance of response times under the diffusion model with an application to parameter estimation

被引：54

作者：

Grasman, Raoul P. P. P. ^{[1
]}

Wagenmakers, Eric-Jan ^{[1
]}

van der Maas, Han L. J. ^{[1
]}

机构：

[1] Univ Amsterdam, Dept Psychol, NL-1018 WB Amsterdam, Netherlands

来源：

JOURNAL OF MATHEMATICAL PSYCHOLOGY | 2009年 / 53卷 / 02期

关键词：

Reaction time/response time; Stochastic processes; Diffusion model; Estimation; Response time mean; Response time variance; CHOICE-REACTION-TIME; COVARIANCE-STRUCTURES; DECISION-MAKING; ACCURACY; RETRIEVAL; MEMORY; ROBUST; SPEED;

D O I：

10.1016/j.jmp.2009.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give closed form expressions for the mean and variance of RTs for Ratcliff's diffusion model [Ratcliff, R. (1978).A theory of memory retrieval. Psychological Review, 85, 59-108] under the simplifying assumption that there is no variability across trials in the parameters. These expressions are more general than those currently available. As an application, we demonstrate their use in a method-of-moments estimation procedure that addresses some of the weaknesses of the EZ method [Wagenmakers, E.-J., van der Maas, H. L. J., & Grasman, R. P. P. P. (2007). An EZ-diffusion model for response time and accuracy. Psychonomic Bulletin & Review, 14, 3-22], and illustrate this with lexical decision data. We discuss further possible applications. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：55 / 68

页数：14

共 42 条

[1]

[Anonymous], 1989, STRUCTURAL EQUATIONS

[2]

[Anonymous], 1992, NUMERICAL RECIPES C

[3]

[Anonymous], 1986, RESPONSE TIMES

[4]

Apostol T. M., 1969, Calculus, VII

[5] The physics of optimal decision making: A formal analysis of models of performance in two-alternative forced-choice tasks [J].

Bogacz, Rafal ;

Brown, Eric ;

Moehlis, Jeff ;

Holmes, Philip ;

Cohen, Jonathan D. .

PSYCHOLOGICAL REVIEW, 2006, 113 (04) :700-765

[6] QMLE: Fast, robust, and efficient estimation of distribution functions based on quantiles [J].

Brown, S ;

Heathcote, A .

BEHAVIOR RESEARCH METHODS INSTRUMENTS & COMPUTERS, 2003, 35 (04) :485-492

[7] ASYMPTOTICALLY DISTRIBUTION-FREE METHODS FOR THE ANALYSIS OF COVARIANCE-STRUCTURES [J].

BROWNE, MW .

BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 1984, 37 (MAY) :62-83

[8]

BROWNE MW, 1974, S AFR STAT J, V8, P1

[9] FUNDAMENTAL DERIVATIONS FROM DECISION FIELD-THEORY [J].

BUSEMEYER, JR ;

TOWNSEND, JT .

MATHEMATICAL SOCIAL SCIENCES, 1992, 23 (03) :255-282

[10]

CHENG RCH, 1987, J ROY STAT SOC B MET, V49, P95

← 1 2 3 4 5 →