Drawing conclusions from choice response time models : a 1 tutorial 2

7 Cognitive models of choice and response times can lead to deeper insights into the processes underlying decisions than standard analyses of accuracy and response time data. The application of these models, however, has historically been reserved for the authors of the models, and their associates. Recently, choice response time models have become more accessible through the release of user-friendly software for estimating their parameters. The aim of this tutorial is to provide guidance about the process of using these parameter estimates and model fits to make conclusions about experimental data. In particular, we discuss the steps required to select an appropriate characterization of a given data set in terms of the parameters of a choice model. We also discuss how to evaluate the quality of the agreement between model and data, including some guidelines for presenting model predictions for group-level data. 8

[1]  I. J. Myung,et al.  When a good fit can be bad , 2002, Trends in Cognitive Sciences.

[2]  Corey White,et al.  Please Scroll down for Article Cognition & Emotion Dysphoria and Memory for Emotional Material: a Diffusion-model Analysis Dysphoria and Memory for Emotional Material: a Diffusion-model Analysis , 2022 .

[3]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[4]  T. Zandt,et al.  How to fit a response time distribution , 2000, Psychonomic bulletin & review.

[5]  T. Zandt,et al.  A comparison of two response time models applied to perceptual matching , 2000, Psychonomic bulletin & review.

[6]  Philip L. Smith,et al.  An integrated theory of attention and decision making in visual signal detection. , 2009, Psychological review.

[7]  A. Pike Stochastic models of choice behaviour: response probabilities and latencies of finite Markov chain systems. , 1966, The British journal of mathematical and statistical psychology.

[8]  Francis Tuerlinckx,et al.  Fitting the ratcliff diffusion model to experimental data , 2007, Psychonomic bulletin & review.

[9]  Denis Cousineau,et al.  QMPE: Estimating Lognormal, Wald, and Weibull RT distributions with a parameter-dependent lower bound , 2004, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[10]  Philip L. Smith,et al.  The accumulator model of two-choice discrimination , 1988 .

[11]  Roger Ratcliff,et al.  A Theory of Memory Retrieval. , 1978 .

[12]  J. Townsend,et al.  Decision field theory: a dynamic-cognitive approach to decision making in an uncertain environment. , 1993, Psychological review.

[13]  Roger Ratcliff,et al.  A diffusion model account of the lexical decision task. , 2004, Psychological review.

[14]  A. Voss,et al.  Interpreting the parameters of the diffusion model: An empirical validation , 2004, Memory & cognition.

[15]  Scott D. Brown,et al.  Quantile maximum likelihood estimation of response time distributions , 2002, Psychonomic bulletin & review.

[16]  Scott D. Brown,et al.  Domain General Mechanisms of Perceptual Decision Making in Human Cortex , 2009, The Journal of Neuroscience.

[17]  Roger Ratcliff,et al.  Application of the diffusion model to two-choice tasks for adults 75-90 years old. , 2007, Psychology and aging.

[18]  I. J. Myung,et al.  Tutorial on maximum likelihood estimation , 2003 .

[19]  Roger Ratcliff,et al.  Evaluating methods for approximating stochastic differential equations. , 2006, Journal of mathematical psychology.

[20]  F. Tuerlinckx The efficient computation of the cumulative distribution and probability density functions in the diffusion model , 2004, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[21]  E. Wagenmakers,et al.  Diffusion versus linear ballistic accumulation: different models but the same conclusions about psychological processes? , 2010, Psychonomic bulletin & review.

[22]  Scott D. Brown,et al.  The simplest complete model of choice response time: Linear ballistic accumulation , 2008, Cognitive Psychology.

[23]  Philip L. Smith,et al.  A comparison of sequential sampling models for two-choice reaction time. , 2004, Psychological review.

[24]  Scott D. Brown,et al.  The overconstraint of response time models: Rethinking the scaling problem , 2009, Psychonomic bulletin & review.

[25]  R. Ratcliff,et al.  Estimating parameters of the diffusion model: Approaches to dealing with contaminant reaction times and parameter variability , 2002, Psychonomic bulletin & review.

[26]  R. Ratcliff,et al.  A comparison of four methods for simulating the diffusion process , 2001, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[27]  R. Ratcliff A diffusion model account of response time and accuracy in a brightness discrimination task: Fitting real data and failing to fit fake but plausible data , 2002, Psychonomic bulletin & review.

[28]  H. Akaike A new look at the statistical model identification , 1974 .

[29]  Andrew Heathcote,et al.  An integrated model of choices and response times in absolute identification. , 2008, Psychological review.

[30]  Jeffrey N. Rouder,et al.  Modeling Response Times for Two-Choice Decisions , 1998 .

[31]  E. Wagenmakers,et al.  Psychological interpretation of the ex-Gaussian and shifted Wald parameters: A diffusion model analysis , 2009, Psychonomic bulletin & review.

[32]  A. Heathcote,et al.  Reply to Speckman and Rouder: A theoretical basis for QML , 2004 .

[33]  Bethany C. Kordella A Diffusion Model Analysis of the Effects of Aging on Sentence Memory , 2009 .

[34]  E. Wagenmakers,et al.  AIC model selection using Akaike weights , 2004, Psychonomic bulletin & review.

[35]  R. Ratcliff,et al.  Modeling unidimensional categorization in monkeys , 2006, Learning & behavior.

[36]  Andreas Voss,et al.  Fast-dm: A free program for efficient diffusion model analysis , 2007, Behavior research methods.

[37]  Francis Tuerlinckx,et al.  Diffusion model analysis with MATLAB: A DMAT primer , 2008, Behavior research methods.

[38]  J. Townsend,et al.  Fundamental derivations from decision field theory , 1992 .

[39]  Andrew Heathcote,et al.  A ballistic model of choice response time. , 2005, Psychological review.