Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers

Detalhes bibliográficos
Autor(a) principal: Pereira, Tiago Martins
Data de Publicação: 2014
Outros Autores: Cirillo, Marcelo Ângelo, Oliveira, Fernando Luiz Pereira de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFLA
Texto Completo: http://repositorio.ufla.br/jspui/handle/1/39131
Resumo: Recently Knüsel (2008) proposed a new method of orthogonal rotation based on chi-square statistic, the Chisquaremax criterion. However, its performance has not yet been evaluated for the effect of outliers. Thus, we assessed the factorial model with Chisquaremax criterion for the effect of outliers using Monte Carlo simulation techniques in different scenarios. The efficiency of covariance matrix estimator provided by the factorial model using either Chisquaremax or Promax criteria was not affected by the presence of outliers. The orthogonal factorial model using Chisquaremax criterion showed better goodness of fit than the results obtained with Promax criterion.
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spelling Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliersCritério de rotação chisquaremax em análise fatorial: uma avaliação Monte Carlo sobre o efeito de outliersResiduesResíduosRecently Knüsel (2008) proposed a new method of orthogonal rotation based on chi-square statistic, the Chisquaremax criterion. However, its performance has not yet been evaluated for the effect of outliers. Thus, we assessed the factorial model with Chisquaremax criterion for the effect of outliers using Monte Carlo simulation techniques in different scenarios. The efficiency of covariance matrix estimator provided by the factorial model using either Chisquaremax or Promax criteria was not affected by the presence of outliers. The orthogonal factorial model using Chisquaremax criterion showed better goodness of fit than the results obtained with Promax criterion.Recentemente, Knüsel (2008) propôs um novo método de rotação ortogonal, denominado por critério Chisquaremax,baseado na estatística qui-quadrado, o desempenho desse critério não foi avaliado em relação ao efeito de outliers. Frente à esta questão, este trabalho teve por objetivo estudar o modelo fatorial utilizando o critério de rotação Chisquaremax em relação ao efeito de outliers, servindo-se de técnicas de simulação Monte Carlo em diferentes cenários. Concluiu-se que a eficiência do estimador da matriz de covariância proporcionada pelo modelo fatorial utilizando o critério Chisquaremax e Promax não foi afetada pela presença de outliers. O modelo fatorial ortogonal aplicando o critério Chisquaremax apresentou melhores índices de qualidade de ajuste em comparação aos resultados obtidos para o critério Promax.Universidade Estadual de Maringá2020-03-04T17:04:28Z2020-03-04T17:04:28Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfPEREIRA, T. M.; CIRILLO, M. A.; OLIVEIRA, F. L. P. de. Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers. Acta Scientiarum. Technology, Maringá, v. 36, n. 4, p. 643-649, 2014.http://repositorio.ufla.br/jspui/handle/1/39131Acta Scientiarum. Technologyreponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessPereira, Tiago MartinsCirillo, Marcelo ÂngeloOliveira, Fernando Luiz Pereira deeng2020-03-04T17:04:51Zoai:localhost:1/39131Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2020-03-04T17:04:51Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false
dc.title.none.fl_str_mv Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers
Critério de rotação chisquaremax em análise fatorial: uma avaliação Monte Carlo sobre o efeito de outliers
title Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers
spellingShingle Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers
Pereira, Tiago Martins
Residues
Resíduos
title_short Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers
title_full Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers
title_fullStr Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers
title_full_unstemmed Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers
title_sort Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers
author Pereira, Tiago Martins
author_facet Pereira, Tiago Martins
Cirillo, Marcelo Ângelo
Oliveira, Fernando Luiz Pereira de
author_role author
author2 Cirillo, Marcelo Ângelo
Oliveira, Fernando Luiz Pereira de
author2_role author
author
dc.contributor.author.fl_str_mv Pereira, Tiago Martins
Cirillo, Marcelo Ângelo
Oliveira, Fernando Luiz Pereira de
dc.subject.por.fl_str_mv Residues
Resíduos
topic Residues
Resíduos
description Recently Knüsel (2008) proposed a new method of orthogonal rotation based on chi-square statistic, the Chisquaremax criterion. However, its performance has not yet been evaluated for the effect of outliers. Thus, we assessed the factorial model with Chisquaremax criterion for the effect of outliers using Monte Carlo simulation techniques in different scenarios. The efficiency of covariance matrix estimator provided by the factorial model using either Chisquaremax or Promax criteria was not affected by the presence of outliers. The orthogonal factorial model using Chisquaremax criterion showed better goodness of fit than the results obtained with Promax criterion.
publishDate 2014
dc.date.none.fl_str_mv 2014
2020-03-04T17:04:28Z
2020-03-04T17:04:28Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv PEREIRA, T. M.; CIRILLO, M. A.; OLIVEIRA, F. L. P. de. Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers. Acta Scientiarum. Technology, Maringá, v. 36, n. 4, p. 643-649, 2014.
http://repositorio.ufla.br/jspui/handle/1/39131
identifier_str_mv PEREIRA, T. M.; CIRILLO, M. A.; OLIVEIRA, F. L. P. de. Chisquaremax rotation criterion in factor analysis: a Monte Carlo assessment of the effect of outliers. Acta Scientiarum. Technology, Maringá, v. 36, n. 4, p. 643-649, 2014.
url http://repositorio.ufla.br/jspui/handle/1/39131
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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
reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
repository.name.fl_str_mv Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)
repository.mail.fl_str_mv nivaldo@ufla.br || repositorio.biblioteca@ufla.br
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