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dc.contributor.authorBono Cabré, Roser
dc.contributor.authorArnau Gras, Jaume
dc.contributor.authorAlarcón-Postigo, Rafael 
dc.contributor.authorBlanca-Mena, María José 
dc.date.accessioned2023-12-21T10:01:45Z
dc.date.available2023-12-21T10:01:45Z
dc.date.issued2019-12-20
dc.identifier.citationBono, R., Arnau, J., Alarcón, R., & Blanca, M. J. (2020). Bias, Precision, and Accuracy of Skewness and Kurtosis Estimators for Frequently Used Continuous Distributions. Symmetry 12, 19. https://doi.org/10.3390/SYM12010019es_ES
dc.identifier.urihttps://hdl.handle.net/10630/28442
dc.description.abstractSeveral measures of skewness and kurtosis were proposed by Hogg (1974) in order to reduce the bias of conventional estimators when the distribution is non-normal. Here we conducted a Monte Carlo simulation study to compare the performance of conventional and Hogg’s estimators, considering the most frequent continuous distributions used in health, education, and social sciences (gamma, lognormal and exponential distributions). In order to determine the bias, precision and accuracy of the skewness and kurtosis estimators for each distribution we calculated the relative bias, the coe cient of variation, and the scaled root mean square error. The e ect of sample size on the estimators is also analyzed. In addition, a SAS program for calculating both conventional and Hogg’s estimators is presented. The results indicated that for the non-normal distributions investigated, the estimators of skewness and kurtosis which best reflect the shape of the distribution are Hogg’s estimators. It should also be noted that Hogg’s estimators are not as a ected by sample size as are conventional estimators.es_ES
dc.description.sponsorshipThis research was supported by grant PSI2016-78737-P (AEI/FEDER, UE) from the National Research Agency of the Spanish Ministry of Economy, Industry and Competitiveness and the European Regional Development Fund. Partial funding for open access charge: Universidad de Málagaes_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectPrejuicioses_ES
dc.subjectActitud (Psicología)es_ES
dc.subjectPsicometríaes_ES
dc.subject.otherSkewness measureses_ES
dc.subject.otherKurtosis measureses_ES
dc.subject.otherNon-normal distributionses_ES
dc.subject.otherRelative biases_ES
dc.subject.otherCoefficient of variationes_ES
dc.subject.otherScaled root mean square errores_ES
dc.titleBias, Precision, and Accuracy of Skewness and Kurtosis Estimators for Frequently Used Continuous Distributions.es_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.centroFacultad de Psicología y Logopediaes_ES
dc.identifier.doi10.3390/SYM12010019
dc.rights.ccAtribución 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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