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Power-Law Distribution of Natural Visibility Graphs from Reaction Times Series

1
Fundación para el Fomento de la Investigación Sanitaria y Biomédica de la Comunitat Valenciana (FISABIO-Public Health), 46020-València, Spain
2
Department of Developmental and Educational Psychology, Universitat de València, 46010-València, Spain
3
Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, 46022-València, Spain
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(4), 563; https://doi.org/10.3390/sym11040563
Received: 1 March 2019 / Revised: 16 April 2019 / Accepted: 16 April 2019 / Published: 18 April 2019
(This article belongs to the Special Issue New Trends in Dynamics)
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Abstract

In this study, we analyze the response times of students to yes/no decision tasks from the perspective of network science. We analyze the properties of the natural visibility graphs (NVG) associated with their reaction time series. We observe that the degree distribution of these graphs usually fits a power-law distribution p ( x ) = x α . We study the range in which parameter α occurs and the changes of this exponent with respect to the age and gender of the students. In addition to this, we also study the links between the parameter α and the parameters of the ex-Gaussian distribution that best fit the response times for each subject. View Full-Text
Keywords: reaction times; natural visibility graph (NVG); ex-Gaussian; power-law reaction times; natural visibility graph (NVG); ex-Gaussian; power-law
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Mira-Iglesias, A.; Navarro-Pardo, E.; Conejero, J.A. Power-Law Distribution of Natural Visibility Graphs from Reaction Times Series. Symmetry 2019, 11, 563.

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