Percentile Study of chi Distribution. Application to Response Time Data.
NAGIOS: RODERIC FUNCIONANDO

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

DSpace Repository

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

Show simple item record

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.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.rights.uri info:eu-repo/semantics/openAccess
dc.source 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.subject Temps Aspectes psicològics
dc.title Percentile Study of chi Distribution. Application to Response Time Data.
dc.type info:eu-repo/semantics/article
dc.date.updated 2020-11-12T10:53:04Z
dc.identifier.doi https://doi.org/10.3390/math8040514
dc.identifier.idgrec 141277

View       (1.400Mb)

This item appears in the following Collection(s)

Show simple item record

Search DSpace

Advanced Search

Browse

Statistics