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On the mean and variance of response times under the diffusion model with an application to parameter estimation. Manuscript submitted for publication (2008)

by R P P P Grasman, E-J Wagenmakers, H L J van der Maas
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by Eric-jan Wagenmakers, Conor V. Dolan, Raoul P. P. P. Grasman
"... In this rejoinder, we address two of Ratcliff’s main concerns with respect to the EZ–diffusion model (Ratcliff, in press). First, we introduce “Robust EZ”, a mixture model approach to achieve robustness against the presence of response contaminants that might otherwise distort parameter estimates. S ..."
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In this rejoinder, we address two of Ratcliff’s main concerns with respect to the EZ–diffusion model (Ratcliff, in press). First, we introduce “Robust EZ”, a mixture model approach to achieve robustness against the presence of response contaminants that might otherwise distort parameter estimates. Second, we discuss an extension of the EZ model that allows the estimation of starting point as an additional parameter. Together with recently developed user–friendly software programs for fitting the full diffusion model (Vandekerckhove & Tuerlinckx, 2007; Voss & Voss, 2007), the development of the EZ model and its extensions are part of a larger effort to make diffusion model analyses accessible to a broader audience, an effort that is long overdue. Keywords: Mathematical modeling, RT distributions, Signal–detection theory, Speed-Accuracy tradeoff. In our original article (Wagenmakers, van der Maas, & Grasman, 2007), we extolled the virtues of the Ratcliff diffusion model for speeded two–choice tasks (Ratcliff, 1978; Ratcliff & McKoon, 2008; Wagenmakers, in press). In particular, we stressed that the model Correspondence concerning this article may be addressed to Eric–Jan Wagenmakers, University of Amsterdam,
The National Science Foundation
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