A new approach to simple correspondence analysis with emphasis on the violation of the independence assumption of the levels of categorical variables
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , |
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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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 |
_version_ |
1799315336389984256 |