Testing multisample compound symmetry

ABSTRACT: This paper is concerned with testing multisample compound symmetry of k multivariate Gaussian models. The likelihood ratio test statistic and its null moments for testing multisample compound symmetry have been derived. The asymptotic null distribution of the test statistic has been obtain...

Full description

Autores:
Nagar, Daya Krishna
Castañeda López, María Eugenia
Tipo de recurso:
Article of investigation
Fecha de publicación:
2003
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/30861
Acceso en línea:
https://hdl.handle.net/10495/30861
Palabra clave:
Análisis Multivariante
Multivariate analysis
Matrices (matemáticas)
Matrices
Estadística matemática
Mathematical statistics
Rights
openAccess
License
https://creativecommons.org/licenses/by-nc-nd/4.0/
id UDEA2_da84447f65c4cb10c433d8f70247fb66
oai_identifier_str oai:bibliotecadigital.udea.edu.co:10495/30861
network_acronym_str UDEA2
network_name_str Repositorio UdeA
repository_id_str
dc.title.spa.fl_str_mv Testing multisample compound symmetry
title Testing multisample compound symmetry
spellingShingle Testing multisample compound symmetry
Análisis Multivariante
Multivariate analysis
Matrices (matemáticas)
Matrices
Estadística matemática
Mathematical statistics
title_short Testing multisample compound symmetry
title_full Testing multisample compound symmetry
title_fullStr Testing multisample compound symmetry
title_full_unstemmed Testing multisample compound symmetry
title_sort Testing multisample compound symmetry
dc.creator.fl_str_mv Nagar, Daya Krishna
Castañeda López, María Eugenia
dc.contributor.author.none.fl_str_mv Nagar, Daya Krishna
Castañeda López, María Eugenia
dc.contributor.researchgroup.spa.fl_str_mv Análisis Multivariado
dc.subject.lemb.none.fl_str_mv Análisis Multivariante
Multivariate analysis
Matrices (matemáticas)
Matrices
Estadística matemática
Mathematical statistics
topic Análisis Multivariante
Multivariate analysis
Matrices (matemáticas)
Matrices
Estadística matemática
Mathematical statistics
description ABSTRACT: This paper is concerned with testing multisample compound symmetry of k multivariate Gaussian models. The likelihood ratio test statistic and its null moments for testing multisample compound symmetry have been derived. The asymptotic null distribution of the test statistic has been obtained using Box's method. This test can be viewed as an extension of Wilks' test for testing intraclass correlation structure of a covariance matrix.
publishDate 2003
dc.date.issued.none.fl_str_mv 2003
dc.date.accessioned.none.fl_str_mv 2022-09-25T17:08:17Z
dc.date.available.none.fl_str_mv 2022-09-25T17:08:17Z
dc.type.spa.fl_str_mv Artículo de investigación
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.redcol.spa.fl_str_mv https://purl.org/redcol/resource_type/ART
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
format http://purl.org/coar/resource_type/c_2df8fbb1
status_str publishedVersion
dc.identifier.citation.spa.fl_str_mv Nagar, Daya & Castañeda, María. (2003). Testing multisample compound symmetry. Advances and Applications in Statistics. 3(3). 285-292
dc.identifier.issn.none.fl_str_mv 0972-3617
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/30861
identifier_str_mv Nagar, Daya & Castañeda, María. (2003). Testing multisample compound symmetry. Advances and Applications in Statistics. 3(3). 285-292
0972-3617
url https://hdl.handle.net/10495/30861
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationendpage.spa.fl_str_mv 292
dc.relation.citationissue.spa.fl_str_mv 3
dc.relation.citationstartpage.spa.fl_str_mv 285
dc.relation.citationvolume.spa.fl_str_mv 3
dc.relation.ispartofjournal.spa.fl_str_mv Advances and Applications in Statistics
dc.rights.uri.spa.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/2.5/co/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/2.5/co/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 8
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Pushpa Publishing House
dc.publisher.place.spa.fl_str_mv India
institution Universidad de Antioquia
bitstream.url.fl_str_mv https://bibliotecadigital.udea.edu.co/bitstreams/af8dbcfb-9a97-4f85-a3e1-ae6e2bd9d12e/download
https://bibliotecadigital.udea.edu.co/bitstreams/f1c92d6a-18cf-4da2-93a9-b95045c0dbb1/download
https://bibliotecadigital.udea.edu.co/bitstreams/b12b0c73-1793-4c8a-8bf0-3531da9a1288/download
https://bibliotecadigital.udea.edu.co/bitstreams/2efebcd2-3da8-4406-80a3-dda5cbbf0962/download
https://bibliotecadigital.udea.edu.co/bitstreams/2b010e74-2402-4041-b256-c4e9870087fa/download
bitstream.checksum.fl_str_mv 11a54bf7f8ab61b13d7dba6703253eff
b88b088d9957e670ce3b3fbe2eedbc13
8a4605be74aa9ea9d79846c1fba20a33
5e3170cc3a3e726bdaf2a50ce2f9a84c
6f2be8a039ad088df265f355835e7e88
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional de la Universidad de Antioquia
repository.mail.fl_str_mv aplicacionbibliotecadigitalbiblioteca@udea.edu.co
_version_ 1851052548386979840
spelling Nagar, Daya KrishnaCastañeda López, María EugeniaAnálisis Multivariado2022-09-25T17:08:17Z2022-09-25T17:08:17Z2003Nagar, Daya & Castañeda, María. (2003). Testing multisample compound symmetry. Advances and Applications in Statistics. 3(3). 285-2920972-3617https://hdl.handle.net/10495/30861ABSTRACT: This paper is concerned with testing multisample compound symmetry of k multivariate Gaussian models. The likelihood ratio test statistic and its null moments for testing multisample compound symmetry have been derived. The asymptotic null distribution of the test statistic has been obtained using Box's method. This test can be viewed as an extension of Wilks' test for testing intraclass correlation structure of a covariance matrix.COL00005328application/pdfengPushpa Publishing HouseIndiahttps://creativecommons.org/licenses/by-nc-nd/4.0/http://creativecommons.org/licenses/by-nc-nd/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Testing multisample compound symmetryArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionAnálisis MultivarianteMultivariate analysisMatrices (matemáticas)MatricesEstadística matemáticaMathematical statistics29232853Advances and Applications in StatisticsPublicationORIGINALNagarDaya_2003_TestingMultisampleCompound.pdfNagarDaya_2003_TestingMultisampleCompound.pdfArtículo de investigaciónapplication/pdf523873https://bibliotecadigital.udea.edu.co/bitstreams/af8dbcfb-9a97-4f85-a3e1-ae6e2bd9d12e/download11a54bf7f8ab61b13d7dba6703253effMD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823https://bibliotecadigital.udea.edu.co/bitstreams/f1c92d6a-18cf-4da2-93a9-b95045c0dbb1/downloadb88b088d9957e670ce3b3fbe2eedbc13MD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/b12b0c73-1793-4c8a-8bf0-3531da9a1288/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTNagarDaya_2003_TestingMultisampleCompound.pdf.txtNagarDaya_2003_TestingMultisampleCompound.pdf.txtExtracted texttext/plain10197https://bibliotecadigital.udea.edu.co/bitstreams/2efebcd2-3da8-4406-80a3-dda5cbbf0962/download5e3170cc3a3e726bdaf2a50ce2f9a84cMD54falseAnonymousREADTHUMBNAILNagarDaya_2003_TestingMultisampleCompound.pdf.jpgNagarDaya_2003_TestingMultisampleCompound.pdf.jpgGenerated Thumbnailimage/jpeg10492https://bibliotecadigital.udea.edu.co/bitstreams/2b010e74-2402-4041-b256-c4e9870087fa/download6f2be8a039ad088df265f355835e7e88MD55falseAnonymousREAD10495/30861oai:bibliotecadigital.udea.edu.co:10495/308612025-03-27 00:09:09.079https://creativecommons.org/licenses/by-nc-nd/4.0/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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