A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables

Detalhes bibliográficos
Autor(a) principal: Costa, André Luís Alves
Data de Publicação: 2018
Outros Autores: Brighenti, Carla Regina Guimarães, Cirillo, Marcelo Angelo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Acta scientiarum. Technology (Online)
Texto Completo: http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/34953
Resumo: The main hypothesis of correspondence analysis is given by the independence between the levels of categorical variables. Due to violation of this hypothesis, this study aims to improve the technique of correspondence analysis, providing a new approach for the calculation of the coordinates through the residual incorporation by tables in which categories have different levels of correlation. For this purpose, the simulation was made using Monte Carlo to generate frequencies from the correlated binomial distribution BC (n, π, ρ). It was concluded that in all evaluated scenarios the approach is promising in the sense that the objects were better discriminated against conventional approach. Moreover, the proposed procedure for obtaining the coordinates is likely to be used on real data as shown in the application example.  
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spelling A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variablesbinomialresidualscopheneticinertia.EstatísticaThe main hypothesis of correspondence analysis is given by the independence between the levels of categorical variables. Due to violation of this hypothesis, this study aims to improve the technique of correspondence analysis, providing a new approach for the calculation of the coordinates through the residual incorporation by tables in which categories have different levels of correlation. For this purpose, the simulation was made using Monte Carlo to generate frequencies from the correlated binomial distribution BC (n, π, ρ). It was concluded that in all evaluated scenarios the approach is promising in the sense that the objects were better discriminated against conventional approach. Moreover, the proposed procedure for obtaining the coordinates is likely to be used on real data as shown in the application example.  Universidade Estadual De Maringá2018-04-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/3495310.4025/actascitechnol.v40i1.34953Acta Scientiarum. Technology; Vol 40 (2018): Publicação Contínua; e34953Acta Scientiarum. Technology; v. 40 (2018): Publicação Contínua; e349531806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/34953/pdfCopyright (c) 2018 Acta Scientiarum. Technologyinfo:eu-repo/semantics/openAccessCosta, André Luís AlvesBrighenti, Carla Regina GuimarãesCirillo, Marcelo Angelo2019-07-17T11:53:47Zoai:periodicos.uem.br/ojs:article/34953Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2019-07-17T11:53:47Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
title A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
spellingShingle A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
Costa, André Luís Alves
binomial
residuals
cophenetic
inertia.
Estatística
title_short A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
title_full A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
title_fullStr A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
title_full_unstemmed A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
title_sort A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
author Costa, André Luís Alves
author_facet Costa, André Luís Alves
Brighenti, Carla Regina Guimarães
Cirillo, Marcelo Angelo
author_role author
author2 Brighenti, Carla Regina Guimarães
Cirillo, Marcelo Angelo
author2_role author
author
dc.contributor.author.fl_str_mv Costa, André Luís Alves
Brighenti, Carla Regina Guimarães
Cirillo, Marcelo Angelo
dc.subject.por.fl_str_mv binomial
residuals
cophenetic
inertia.
Estatística
topic binomial
residuals
cophenetic
inertia.
Estatística
description The main hypothesis of correspondence analysis is given by the independence between the levels of categorical variables. Due to violation of this hypothesis, this study aims to improve the technique of correspondence analysis, providing a new approach for the calculation of the coordinates through the residual incorporation by tables in which categories have different levels of correlation. For this purpose, the simulation was made using Monte Carlo to generate frequencies from the correlated binomial distribution BC (n, π, ρ). It was concluded that in all evaluated scenarios the approach is promising in the sense that the objects were better discriminated against conventional approach. Moreover, the proposed procedure for obtaining the coordinates is likely to be used on real data as shown in the application example.  
publishDate 2018
dc.date.none.fl_str_mv 2018-04-26
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/34953
10.4025/actascitechnol.v40i1.34953
url http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/34953
identifier_str_mv 10.4025/actascitechnol.v40i1.34953
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/34953/pdf
dc.rights.driver.fl_str_mv Copyright (c) 2018 Acta Scientiarum. Technology
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2018 Acta Scientiarum. Technology
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Estadual De Maringá
publisher.none.fl_str_mv Universidade Estadual De Maringá
dc.source.none.fl_str_mv Acta Scientiarum. Technology; Vol 40 (2018): Publicação Contínua; e34953
Acta Scientiarum. Technology; v. 40 (2018): Publicação Contínua; e34953
1806-2563
1807-8664
reponame:Acta scientiarum. Technology (Online)
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Acta scientiarum. Technology (Online)
collection Acta scientiarum. Technology (Online)
repository.name.fl_str_mv Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv ||actatech@uem.br
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