Correspondence analysis of contingency tables with subpartitions on rows and columns

We present Intra-Table Correspondence Analysis using two approaches:Correspondence Analysis with respect to a model and Weighted PrincipalComponent Analysis. In addition, we use the relationship between CorrespondenceAnalysis and the Log-Linear Models to provide a deeper insightinto the interactions...

Full description

Autores:
Pardo, Campo Elías
Bécue-Bertaut, Mónica
Ortiz, Jorge Eduardo
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73210
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73210
http://bdigital.unal.edu.co/37685/
Palabra clave:
Multidimensional contingency table
Principal component analysis
Rights
closedAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_0cd52035bf64b5ddf4eb417a040427a0
oai_identifier_str oai:repositorio.unal.edu.co:unal/73210
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/closedAccesshttp://purl.org/coar/access_right/c_14cbPardo, Campo Elías8cd0dd64-b77f-45fe-81e5-42f6856530cf300Bécue-Bertaut, Mónica1c7bedb8-231f-4bcc-b1f9-a121667985ce300Ortiz, Jorge Eduardof962097a-0580-4176-b3b5-92bb120f3e983002019-07-03T16:01:53Z2019-07-03T16:01:53Z2013https://repositorio.unal.edu.co/handle/unal/73210http://bdigital.unal.edu.co/37685/We present Intra-Table Correspondence Analysis using two approaches:Correspondence Analysis with respect to a model and Weighted PrincipalComponent Analysis. In addition, we use the relationship between CorrespondenceAnalysis and the Log-Linear Models to provide a deeper insightinto the interactions that each Correspondence Analysis describes. Wedevelop in detail the Internal Correspondence Analysis as an Intra-TableCorrespondence Analysis in two dimensions and introduce the Intra-blocksCorrespondence Analysis. Moreover, we summarize the superimposed representationsand give some aids to interpret the graphics associated to thesubpartition structures of the table. Finally, the methods presented in thiswork are illustrated by their application to the standardized public test datacollected from Colombian secondary education students in 2008.spaUniversidad Nacional de Colombiahttp://revistas.unal.edu.co/index.php/estad/article/view/39612Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaRevista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 115-144 Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 115-144 0120-1751Pardo, Campo Elías and Bécue-Bertaut, Mónica and Ortiz, Jorge Eduardo (2013) Correspondence analysis of contingency tables with subpartitions on rows and columns. Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 115-144 Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 115-144 0120-1751 .Correspondence analysis of contingency tables with subpartitions on rows and columnsArtículo 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/ARTMultidimensional contingency tablePrincipal component analysisunal/73210oai:repositorio.unal.edu.co:unal/732102021-04-23 12:08:58.672Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Correspondence analysis of contingency tables with subpartitions on rows and columns
title Correspondence analysis of contingency tables with subpartitions on rows and columns
spellingShingle Correspondence analysis of contingency tables with subpartitions on rows and columns
Multidimensional contingency table
Principal component analysis
title_short Correspondence analysis of contingency tables with subpartitions on rows and columns
title_full Correspondence analysis of contingency tables with subpartitions on rows and columns
title_fullStr Correspondence analysis of contingency tables with subpartitions on rows and columns
title_full_unstemmed Correspondence analysis of contingency tables with subpartitions on rows and columns
title_sort Correspondence analysis of contingency tables with subpartitions on rows and columns
dc.creator.fl_str_mv Pardo, Campo Elías
Bécue-Bertaut, Mónica
Ortiz, Jorge Eduardo
dc.contributor.author.spa.fl_str_mv Pardo, Campo Elías
Bécue-Bertaut, Mónica
Ortiz, Jorge Eduardo
dc.subject.proposal.spa.fl_str_mv Multidimensional contingency table
Principal component analysis
topic Multidimensional contingency table
Principal component analysis
description We present Intra-Table Correspondence Analysis using two approaches:Correspondence Analysis with respect to a model and Weighted PrincipalComponent Analysis. In addition, we use the relationship between CorrespondenceAnalysis and the Log-Linear Models to provide a deeper insightinto the interactions that each Correspondence Analysis describes. Wedevelop in detail the Internal Correspondence Analysis as an Intra-TableCorrespondence Analysis in two dimensions and introduce the Intra-blocksCorrespondence Analysis. Moreover, we summarize the superimposed representationsand give some aids to interpret the graphics associated to thesubpartition structures of the table. Finally, the methods presented in thiswork are illustrated by their application to the standardized public test datacollected from Colombian secondary education students in 2008.
publishDate 2013
dc.date.issued.spa.fl_str_mv 2013
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:01:53Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:01:53Z
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
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
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.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73210
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/37685/
url https://repositorio.unal.edu.co/handle/unal/73210
http://bdigital.unal.edu.co/37685/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/estad/article/view/39612
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 115-144 Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 115-144 0120-1751
dc.relation.references.spa.fl_str_mv Pardo, Campo Elías and Bécue-Bertaut, Mónica and Ortiz, Jorge Eduardo (2013) Correspondence analysis of contingency tables with subpartitions on rows and columns. Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 115-144 Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 115-144 0120-1751 .
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_14cb
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/closedAccess
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_14cb
eu_rights_str_mv closedAccess
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia
institution Universidad Nacional de Colombia
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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