Technical Report #249
Simple Matrix Methods for Analyzing Diffusion Models of Choice Probability, Choice Response Time and Simple Response Time
Adele Diederich, International University Bremen, Germany & Jerome R. Busemeyer, Indiana University
Abstract
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Diffusion processes (e.g., Wiener process, Ornstein-Uhlenbeck process) are powerful approaches to model human information processes in a variety of psychological tasks. Lack of mathematical tractability, however, has prevented broad applications of these models to empirical data. This tutorial explains step by step, using a matrix approach, how to construct these models, how to implement them on a computer, and how to calculate the predictions made by these models. In particular, we present models for binary choices for unidimdensional and multiattribute choice alternatives; for simple reaction time tasks; and for choice problems of three alternatives.
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