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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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 documento: artigo
Data de publicação:2018
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/125961
Acesso em linha:https://hdl.handle.net/2117/125961
https://dx.doi.org/10.1080/00949655.2018.1539085
Access Level:Acceso aberto
Palavra-chave: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
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spelling Graphical comparison of normality tests for unimodal distribution dataSánchez Espigares, Josep Anton|||0000-0001-8195-1913Grima Cintas, Pedro|||0000-0003-1470-1230Marco Almagro, Lluís|||0000-0002-0440-1675Goodness-of-fit testsNonparametric statisticsGoodness - of - FitTest PowerGraphical TechniquesComparing Normality TestsAnderson - DarlingShapiro - WilkBondat de l'ajust, Tests deEstadística no paramètricaÀrees temàtiques de la UPC::Matemàtiques i estadísticaA 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 testsPeer Reviewed20192019-01-0220182018-12-19journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/125961https://dx.doi.org/10.1080/00949655.2018.1539085reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1259612026-05-27T15:37:01Z
dc.title.none.fl_str_mv Graphical comparison of normality tests for unimodal distribution data
title Graphical comparison of normality tests for unimodal distribution data
spellingShingle Graphical comparison of normality tests for unimodal distribution data
Sánchez Espigares, Josep Anton|||0000-0001-8195-1913
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
title_short Graphical comparison of normality tests for unimodal distribution data
title_full Graphical comparison of normality tests for unimodal distribution data
title_fullStr Graphical comparison of normality tests for unimodal distribution data
title_full_unstemmed Graphical comparison of normality tests for unimodal distribution data
title_sort Graphical comparison of normality tests for unimodal distribution data
dc.creator.none.fl_str_mv Sánchez Espigares, Josep Anton|||0000-0001-8195-1913
Grima Cintas, Pedro|||0000-0003-1470-1230
Marco Almagro, Lluís|||0000-0002-0440-1675
author Sánchez Espigares, Josep Anton|||0000-0001-8195-1913
author_facet Sánchez Espigares, Josep Anton|||0000-0001-8195-1913
Grima Cintas, Pedro|||0000-0003-1470-1230
Marco Almagro, Lluís|||0000-0002-0440-1675
author_role author
author2 Grima Cintas, Pedro|||0000-0003-1470-1230
Marco Almagro, Lluís|||0000-0002-0440-1675
author2_role author
author
dc.subject.none.fl_str_mv 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
topic 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
description 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
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-12-19
2019
2019-01-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/125961
https://dx.doi.org/10.1080/00949655.2018.1539085
url https://hdl.handle.net/2117/125961
https://dx.doi.org/10.1080/00949655.2018.1539085
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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