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Percentile Study of chi Distribution. Application to Response Time Data.

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Percentile Study of chi Distribution. Application to Response Time Data.

dc.contributor.author	Castro Palacio, Juan Carlos
dc.contributor.author	Fernández de Córdoba Castellá, Pedro J.
dc.contributor.author	Isidro San Juan, José María
dc.contributor.author	Navarro Pardo, Esperanza
dc.contributor.author	Selvas Aguilar, Romeo
dc.date.accessioned	2020-11-12T10:53:04Z
dc.date.available	2020-11-12T10:53:04Z
dc.date.issued	2020
dc.identifier.citation	Castro Palacio, Juan Carlos Fernández de Córdoba Castellá, Pedro J. Isidro San Juan, José María Navarro Pardo, Esperanza Selvas Aguilar, Romeo 2020 Percentile Study of chi Distribution. Application to Response Time Data. Mathematics 8 4 514 514
dc.identifier.uri	https://hdl.handle.net/10550/76351
dc.description.abstract	As a continuation of our previous work, where a Maxwell-Boltzmann distribution was found to model a collective's reaction times, in this work we will carry out a percentile study of the χ distribution for some freedom ranging from k = 2 to k = 10. The most commonly used percentiles in the biomedical and behavioral sciences have been included in the analysis. We seek to provide a look-up table with percentile ratios, taken symmetrically about the median, such that this distribution can be identified in practice in an easy way. We have proven that these ratios do not depend upon the variance chosen for the k generating Gaussians. In general, the χ probability density, generalized to take any value of the variance, represents an ideal gas in a k-dimensional space. We also derive an approximate expression for the median of the generalized χ distribution. In the second part of the results, we will focus on the practical case of k = 3, which represents the ideal gas in physics, and models quite well the reaction times of a human collective. Accurately, we will perform a more detailed scrutiny of the percentiles for the reaction time distribution of a sample of 50 school-aged children (7200 reaction times).
dc.language.iso	eng
dc.relation.ispartof	Mathematics, 2020, vol. 8, num. 4, p. 514-514
dc.subject	Temps Aspectes psicològics
dc.title	Percentile Study of chi Distribution. Application to Response Time Data.
dc.type	journal article	es_ES
dc.date.updated	2020-11-12T10:53:04Z
dc.identifier.doi	10.3390/math8040514
dc.identifier.idgrec	141277
dc.rights.accessRights	open access	es_ES