Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution

In this study, robust Brown-Forsythe and robust Modified Brown-Forsythe ANOVA tests are proposed to take into consideration heteroscedastic and non-normality data sets with outliers. The non-normal data is assumed to be a two parameters Weibull distribution. Robust proposed tests are obtained by usi...

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Autores:
Karagöz, Derya
Saraçbasi, Tülay
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66520
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66520
http://bdigital.unal.edu.co/67548/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Brown-Forsythe
Modified Brown-Forsythe
ANOVA
Weibull Distribution
ANOVA
Brown-Forsythe
Brown-Forsythe modificado
Distribución Weibull.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_e20fbf37ae858d607eb5f1b1b655cbdf
oai_identifier_str oai:repositorio.unal.edu.co:unal/66520
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Karagöz, Derya17e5f616-ea1d-4914-9a4f-0a4c8fec3cd2300Saraçbasi, Tülayb37a16e7-af32-4288-aff2-7d0fe87116733002019-07-03T02:17:31Z2019-07-03T02:17:31Z2016-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66520http://bdigital.unal.edu.co/67548/In this study, robust Brown-Forsythe and robust Modified Brown-Forsythe ANOVA tests are proposed to take into consideration heteroscedastic and non-normality data sets with outliers. The non-normal data is assumed to be a two parameters Weibull distribution. Robust proposed tests are obtained by using robust mean and variance estimators based on median/ MAD and median/Qn methods instead of maximum likelihood. The behaviors of the robust proposed and classical ANOVA tests are examined by simulation study. The results shows that the proposed robust tests have good performance especially in the presence of heteroscedasticity and contamination.En este estudio se proponen tests Brown-Forsythe y robustos Brown-Forsythe ANOVA para tener en cuenta la no-normalidad en datos debida a la presencia de datos atípicos. Se asume que los datos no-normales tienen una distribución Weibull de dos parámetros. Estos tests se construyen en base a estimadores robustos de media y varianza obtenidos con métodos basados en la mediana en vez de métodos de máxima verosimilitud. Se examina en comportamiento de estos tests con datos simulados. Los resultados muestran que éstos tienen un buen desempeño, especialmente en presencia de atípicos y datos contaminados.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/55135Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaKaragöz, Derya and Saraçbasi, Tülay (2016) Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution. Revista Colombiana de Estadística, 39 (1). pp. 17-32. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsBrown-ForsytheModified Brown-ForsytheANOVAWeibull DistributionANOVABrown-ForsytheBrown-Forsythe modificadoDistribución Weibull.Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull DistributionArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL55135-281646-1-PB.pdfapplication/pdf658987https://repositorio.unal.edu.co/bitstream/unal/66520/1/55135-281646-1-PB.pdf285c95e184a205bb7f92ec9ac4639ecdMD51THUMBNAIL55135-281646-1-PB.pdf.jpg55135-281646-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5604https://repositorio.unal.edu.co/bitstream/unal/66520/2/55135-281646-1-PB.pdf.jpgb6f7acbdcc0d8c73f14e0fdeaf33065fMD52unal/66520oai:repositorio.unal.edu.co:unal/665202023-05-25 23:03:05.225Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution
title Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution
spellingShingle Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Brown-Forsythe
Modified Brown-Forsythe
ANOVA
Weibull Distribution
ANOVA
Brown-Forsythe
Brown-Forsythe modificado
Distribución Weibull.
title_short Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution
title_full Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution
title_fullStr Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution
title_full_unstemmed Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution
title_sort Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution
dc.creator.fl_str_mv Karagöz, Derya
Saraçbasi, Tülay
dc.contributor.author.spa.fl_str_mv Karagöz, Derya
Saraçbasi, Tülay
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
topic 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Brown-Forsythe
Modified Brown-Forsythe
ANOVA
Weibull Distribution
ANOVA
Brown-Forsythe
Brown-Forsythe modificado
Distribución Weibull.
dc.subject.proposal.spa.fl_str_mv Brown-Forsythe
Modified Brown-Forsythe
ANOVA
Weibull Distribution
ANOVA
Brown-Forsythe
Brown-Forsythe modificado
Distribución Weibull.
description In this study, robust Brown-Forsythe and robust Modified Brown-Forsythe ANOVA tests are proposed to take into consideration heteroscedastic and non-normality data sets with outliers. The non-normal data is assumed to be a two parameters Weibull distribution. Robust proposed tests are obtained by using robust mean and variance estimators based on median/ MAD and median/Qn methods instead of maximum likelihood. The behaviors of the robust proposed and classical ANOVA tests are examined by simulation study. The results shows that the proposed robust tests have good performance especially in the presence of heteroscedasticity and contamination.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:17:31Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:17:31Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2389-8976
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66520
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67548/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66520
http://bdigital.unal.edu.co/67548/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/estad/article/view/55135
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.references.spa.fl_str_mv Karagöz, Derya and Saraçbasi, Tülay (2016) Robust Brown-Forsythe and Robust Modified Brown-Forsythe ANOVA Tests Under Heteroscedasticity for Contaminated Weibull Distribution. Revista Colombiana de Estadística, 39 (1). pp. 17-32. ISSN 2389-8976
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66520/1/55135-281646-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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