Exact d-optimal design under response variable transformation

Detalhes bibliográficos
Autor(a) principal: Dos Reis, Cássio Pinho
Data de Publicação: 2020
Outros Autores: Trinca, Luzia Aparecida [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.28951/rbb.v38i2.443
http://hdl.handle.net/11449/206723
Resumo: In experimental sciences, optimal designs, which focus on the efficiency of specific properties, are alternatives of fundamental importance when the practical problem involves some complexity not directly contemplated in the classical design formulation. Most of the methods assumes homogeneity of variances, which is not always verified in the data set. The aim of this work is to develop a methodology to construct exact optimal or efficient designs in situations of nonhomogeneous variances. It is assumed that application of a transformation from the Box-Cox family accomplishes both linearity and homocedasticity. Results for several examples assuming first and second order models are presented and discussed.
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spelling Exact d-optimal design under response variable transformationDelineamentos d-ótimos exatos sob a possibilidade de transformação da variável respostaBox-Cox transformationEfficient designsFactorialHeteroscedasticityIn experimental sciences, optimal designs, which focus on the efficiency of specific properties, are alternatives of fundamental importance when the practical problem involves some complexity not directly contemplated in the classical design formulation. Most of the methods assumes homogeneity of variances, which is not always verified in the data set. The aim of this work is to develop a methodology to construct exact optimal or efficient designs in situations of nonhomogeneous variances. It is assumed that application of a transformation from the Box-Cox family accomplishes both linearity and homocedasticity. Results for several examples assuming first and second order models are presented and discussed.Universidade Federal de Mato Grosso do Sul-UFMS Instituto de MatemáticaUniversidade Estadual Paulista-UNESP Departamento de BioestatísticaUniversidade Estadual Paulista-UNESP Departamento de BioestatísticaUniversidade Federal de Mato Grosso do Sul (UFMS)Universidade Estadual Paulista (Unesp)Dos Reis, Cássio PinhoTrinca, Luzia Aparecida [UNESP]2021-06-25T10:37:05Z2021-06-25T10:37:05Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article226-242http://dx.doi.org/10.28951/rbb.v38i2.443Revista Brasileira de Biometria, v. 38, n. 2, p. 226-242, 2020.1983-0823http://hdl.handle.net/11449/20672310.28951/rbb.v38i2.4432-s2.0-85093885519Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista Brasileira de Biometriainfo:eu-repo/semantics/openAccess2021-10-23T12:31:27Zoai:repositorio.unesp.br:11449/206723Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:00:50.014807Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Exact d-optimal design under response variable transformation
Delineamentos d-ótimos exatos sob a possibilidade de transformação da variável resposta
title Exact d-optimal design under response variable transformation
spellingShingle Exact d-optimal design under response variable transformation
Dos Reis, Cássio Pinho
Box-Cox transformation
Efficient designs
Factorial
Heteroscedasticity
title_short Exact d-optimal design under response variable transformation
title_full Exact d-optimal design under response variable transformation
title_fullStr Exact d-optimal design under response variable transformation
title_full_unstemmed Exact d-optimal design under response variable transformation
title_sort Exact d-optimal design under response variable transformation
author Dos Reis, Cássio Pinho
author_facet Dos Reis, Cássio Pinho
Trinca, Luzia Aparecida [UNESP]
author_role author
author2 Trinca, Luzia Aparecida [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal de Mato Grosso do Sul (UFMS)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Dos Reis, Cássio Pinho
Trinca, Luzia Aparecida [UNESP]
dc.subject.por.fl_str_mv Box-Cox transformation
Efficient designs
Factorial
Heteroscedasticity
topic Box-Cox transformation
Efficient designs
Factorial
Heteroscedasticity
description In experimental sciences, optimal designs, which focus on the efficiency of specific properties, are alternatives of fundamental importance when the practical problem involves some complexity not directly contemplated in the classical design formulation. Most of the methods assumes homogeneity of variances, which is not always verified in the data set. The aim of this work is to develop a methodology to construct exact optimal or efficient designs in situations of nonhomogeneous variances. It is assumed that application of a transformation from the Box-Cox family accomplishes both linearity and homocedasticity. Results for several examples assuming first and second order models are presented and discussed.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
2021-06-25T10:37:05Z
2021-06-25T10:37:05Z
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 http://dx.doi.org/10.28951/rbb.v38i2.443
Revista Brasileira de Biometria, v. 38, n. 2, p. 226-242, 2020.
1983-0823
http://hdl.handle.net/11449/206723
10.28951/rbb.v38i2.443
2-s2.0-85093885519
url http://dx.doi.org/10.28951/rbb.v38i2.443
http://hdl.handle.net/11449/206723
identifier_str_mv Revista Brasileira de Biometria, v. 38, n. 2, p. 226-242, 2020.
1983-0823
10.28951/rbb.v38i2.443
2-s2.0-85093885519
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Revista Brasileira de Biometria
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 226-242
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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