Graphical comparison of normality tests for unimodal distribution data

A methodology is proposed to compare the power of normality tests with a wide variety of alternative unimodal distributions. It is based on the representation of a distribution mosaic in which kurtosis varies vertically and skewness horizontally . The mosaic includes distributions such as exponentia...

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Detalles Bibliográficos
Autores: Sánchez Espigares, Josep Anton|||0000-0001-8195-1913, Grima Cintas, Pedro|||0000-0003-1470-1230, Marco Almagro, Lluís|||0000-0002-0440-1675
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/125961
Acceso en línea:https://hdl.handle.net/2117/125961
https://dx.doi.org/10.1080/00949655.2018.1539085
Access Level:acceso abierto
Palabra clave:Goodness-of-fit tests
Nonparametric statistics
Goodness - of - Fit
Test Power
Graphical Techniques
Comparing Normality Tests
Anderson - Darling
Shapiro - Wilk
Bondat de l'ajust, Tests de
Estadística no paramètrica
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:A methodology is proposed to compare the power of normality tests with a wide variety of alternative unimodal distributions. It is based on the representation of a distribution mosaic in which kurtosis varies vertically and skewness horizontally . The mosaic includes distributions such as exponential , Laplace or uniform, with normal occupying the center. S imulation is used to determine the probability of a sample from each distribution in the mosaic being accepted as normal . We demonst rate our proposal by applying it to the analysis and comparison of some of the most well - known tests