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Reflected Boundary Drift Diffusion Model: A Double Responding Framework for Go/No-Go Paradigm

Abstract

The Go/No-Go paradigm is being used in various clinical applications frequently. Besides, the sequential sampling models have achieved much attention for modeling the underlying processes of decision making. One of the most successful sequential sampling models that is used also for modeling the Go/No-Go paradigm is the drift diffusion model (DDM). The major assumption of the drift diffusion model is that the process of information accumulation is terminated by reaching the boundaries. But this assumption has been argued during the last years and some studies have confirmed that the accumulation process continues after making a decision (i.e. accumulator reaches the boundaries). The main constraint of the drift diffusion model for modeling the Go/No-Go paradigm is that it can not capture the ongoing information accumulation after making a decision. This is important in the Go/No-Go paradigm because when the participants decide to no-go they should wait until finishing the trial and it is a good time for continuing the information accumulation. In this paper, we are going to develop a variation of the drift diffusion model which is able to capture continuing the information accumulation after making a no-go decision. The developed model is based on substituting the lower boundary with a reflecting boundary. This paper aims to introduce an alternative model for Go/No-Go paradigm and after presenting a theoretical discussion on the model behavior, mean first passage time, and the first passage time distribution of the model, it is compared with the previous DDM model.

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