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

Symmetry

Esperanza Navarro-Pardo¹  Ainara Mira-Iglesias²  J.Alberto Conejero³ 

[1] Department of Developmental and Educational Psychology, Universitat de València, 46010-València, Spain;Fundación para el Fomento de la Investigación Sanitaria y Biomédica de la Comunitat Valenciana (FISABIO-Public Health), 46020-València, Spain;Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, 46022-València, Spain;

关键词: reaction times;    natural visibility graph (NVG);    ex-Gaussian;    power-law;   

DOI  :  10.3390/sym11040563

来源: DOAJ

【 摘 要 】

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 $p\left(x\right)=x^{-\alpha }$ . We study the range in which parameter $\alpha$ 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 $\alpha$ and the parameters of the ex-Gaussian distribution that best fit the response times for each subject.

【 授权许可】

Unknown