Jumping to Conclusion? A Lévy Flight Model of Decision Making
The diffusion model is one of the most prominent response time models in cognitive psychology. The model describes evidence accumulation as a stochastic process that runs between two boundaries until a threshold is hit, and a decision is made. The model assumes that information accumulation follows...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Université d'Ottawa
2020-04-01
|
Series: | Tutorials in Quantitative Methods for Psychology |
Subjects: | |
Online Access: | https://www.tqmp.org/RegularArticles/vol16-2/p120/p120.pdf |
_version_ | 1819110589054582784 |
---|---|
author | Wieschen, Eva Marie Voss, Andreas Radev, Stefan |
author_facet | Wieschen, Eva Marie Voss, Andreas Radev, Stefan |
author_sort | Wieschen, Eva Marie |
collection | DOAJ |
description | The diffusion model is one of the most prominent response time models in cognitive psychology. The model describes evidence accumulation as a stochastic process that runs between two boundaries until a threshold is hit, and a decision is made. The model assumes that information accumulation follows a Wiener diffusion process with normally distributed noise. However, the model's assumption of Gaussian noise might not be the optimal description of decision making. We argue that Lévy flights, incorporating more heavy-tailed, non-Gaussian noise, might provide a more accurate description of actual decision processes. In contrast to diffusion processes, Lévy flights are characterized by larger jumps in the decision process. To further examine this proposal, we compare the fit of the basic diffusion model and the full diffusion model (including inter-trial variability of starting-point, drift rate and non-decisional processes) to the fit of a simple and a complex version of a Lévy flight model. In the latter model, the heavy-tailedness of noise distributions was estimated by an additional free stability parameter alpha. Participants completed 500 trials of a color discrimination task and 400 trials of a lexical decision task. Results indicate that a complex Lévy flight model -including inter-trial variability parameters and alpha- shows the best fit in both tasks. Importantly, alpha-values correlated across tasks, indicating a trait-like nature of this parameter. |
first_indexed | 2024-12-22T03:44:07Z |
format | Article |
id | doaj.art-3dbe614ff6e0429dbe88ba7d5d932b01 |
institution | Directory Open Access Journal |
issn | 1913-4126 |
language | English |
last_indexed | 2024-12-22T03:44:07Z |
publishDate | 2020-04-01 |
publisher | Université d'Ottawa |
record_format | Article |
series | Tutorials in Quantitative Methods for Psychology |
spelling | doaj.art-3dbe614ff6e0429dbe88ba7d5d932b012022-12-21T18:40:10ZengUniversité d'OttawaTutorials in Quantitative Methods for Psychology1913-41262020-04-0116212013210.20982/tqmp.16.2.p120Jumping to Conclusion? A Lévy Flight Model of Decision MakingWieschen, Eva MarieVoss, AndreasRadev, StefanThe diffusion model is one of the most prominent response time models in cognitive psychology. The model describes evidence accumulation as a stochastic process that runs between two boundaries until a threshold is hit, and a decision is made. The model assumes that information accumulation follows a Wiener diffusion process with normally distributed noise. However, the model's assumption of Gaussian noise might not be the optimal description of decision making. We argue that Lévy flights, incorporating more heavy-tailed, non-Gaussian noise, might provide a more accurate description of actual decision processes. In contrast to diffusion processes, Lévy flights are characterized by larger jumps in the decision process. To further examine this proposal, we compare the fit of the basic diffusion model and the full diffusion model (including inter-trial variability of starting-point, drift rate and non-decisional processes) to the fit of a simple and a complex version of a Lévy flight model. In the latter model, the heavy-tailedness of noise distributions was estimated by an additional free stability parameter alpha. Participants completed 500 trials of a color discrimination task and 400 trials of a lexical decision task. Results indicate that a complex Lévy flight model -including inter-trial variability parameters and alpha- shows the best fit in both tasks. Importantly, alpha-values correlated across tasks, indicating a trait-like nature of this parameter.https://www.tqmp.org/RegularArticles/vol16-2/p120/p120.pdflévy flightsdiffusion modeldecision making |
spellingShingle | Wieschen, Eva Marie Voss, Andreas Radev, Stefan Jumping to Conclusion? A Lévy Flight Model of Decision Making Tutorials in Quantitative Methods for Psychology lévy flights diffusion model decision making |
title | Jumping to Conclusion? A Lévy Flight Model of Decision Making |
title_full | Jumping to Conclusion? A Lévy Flight Model of Decision Making |
title_fullStr | Jumping to Conclusion? A Lévy Flight Model of Decision Making |
title_full_unstemmed | Jumping to Conclusion? A Lévy Flight Model of Decision Making |
title_short | Jumping to Conclusion? A Lévy Flight Model of Decision Making |
title_sort | jumping to conclusion a levy flight model of decision making |
topic | lévy flights diffusion model decision making |
url | https://www.tqmp.org/RegularArticles/vol16-2/p120/p120.pdf |
work_keys_str_mv | AT wieschenevamarie jumpingtoconclusionalevyflightmodelofdecisionmaking AT vossandreas jumpingtoconclusionalevyflightmodelofdecisionmaking AT radevstefan jumpingtoconclusionalevyflightmodelofdecisionmaking |