Use of ridge regression for the prediction of early growth performance in crossbred calves
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/195879 |
Resumo: | The problem of multicollinearity in regression analysis was studied. Ridge regression (RR) techniques were used to estimate parameters affecting the performance of crossbred calves raised in tropical and subtropical regions by a model including additive, dominance, joint additive or profit heterosis and epistatic effects and their interactions with latitude in an attempt to model genotype by environment interactions. A software was developed in Fortran 77 to perform five variant types of RR: the originally proposed method; the method implemented by SAS; and three methods of weighting the RR parameter lambda. Three mathematical criteria were tested with the aim of choosing a value for the lambda coefficient: the sum and the harmonic mean of the absolute Student t-values and the value of lambda at which all variance inflation factors (VIF) became lower than 300. Prediction surfaces obtained from estimated coefficients were used to compare the five methods and three criteria. It was concluded that RR could be a good alternative to overcome multicollinearity problems. For all the methods tested, acceptable prediction surfaces could be obtained when the VIF criterion was employed. This mathematical criterion is thus recommended as an auxiliary tool for choosing lambda. |
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Use of ridge regression for the prediction of early growth performance in crossbred calvescrossbreedingepistasisgenotype by environment interactionheterosismulticollinearityThe problem of multicollinearity in regression analysis was studied. Ridge regression (RR) techniques were used to estimate parameters affecting the performance of crossbred calves raised in tropical and subtropical regions by a model including additive, dominance, joint additive or profit heterosis and epistatic effects and their interactions with latitude in an attempt to model genotype by environment interactions. A software was developed in Fortran 77 to perform five variant types of RR: the originally proposed method; the method implemented by SAS; and three methods of weighting the RR parameter lambda. Three mathematical criteria were tested with the aim of choosing a value for the lambda coefficient: the sum and the harmonic mean of the absolute Student t-values and the value of lambda at which all variance inflation factors (VIF) became lower than 300. Prediction surfaces obtained from estimated coefficients were used to compare the five methods and three criteria. It was concluded that RR could be a good alternative to overcome multicollinearity problems. For all the methods tested, acceptable prediction surfaces could be obtained when the VIF criterion was employed. This mathematical criterion is thus recommended as an auxiliary tool for choosing lambda.Univ Estadual Paulista, Fac Ciencias Agr & Vet, Dept Zootecnia, BR-14884900 Jaboticabal, SP, BrazilGenSys Consultores Associados S S Ltda, Porto Alegre, RS, BrazilLagoa Serra Ltda Holland Genet, Sertaozinho, SP, BrazilUniv Estadual Paulista, Fac Ciencias Agr & Vet, Dept Zootecnia, BR-14884900 Jaboticabal, SP, BrazilSoc Brasil GeneticaUniversidade Estadual Paulista (Unesp)GenSys Consultores Associados S S LtdaLagoa Serra Ltda Holland GenetGouveia Pirrientel, Eduardo da CruzAidar de Queiroz, SandraCarvalheiro, RobertoFries, Luiz Alberto2020-12-10T18:06:23Z2020-12-10T18:06:23Z2007-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article536-544Genetics And Molecular Biology. Ribeirao Pret: Soc Brasil Genetica, v. 30, n. 3, p. 536-544, 2007.1415-4757http://hdl.handle.net/11449/195879WOS:000249206200006Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengGenetics And Molecular Biologyinfo:eu-repo/semantics/openAccess2024-06-07T18:43:06Zoai:repositorio.unesp.br:11449/195879Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:17:56.696744Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Use of ridge regression for the prediction of early growth performance in crossbred calves |
title |
Use of ridge regression for the prediction of early growth performance in crossbred calves |
spellingShingle |
Use of ridge regression for the prediction of early growth performance in crossbred calves Gouveia Pirrientel, Eduardo da Cruz crossbreeding epistasis genotype by environment interaction heterosis multicollinearity |
title_short |
Use of ridge regression for the prediction of early growth performance in crossbred calves |
title_full |
Use of ridge regression for the prediction of early growth performance in crossbred calves |
title_fullStr |
Use of ridge regression for the prediction of early growth performance in crossbred calves |
title_full_unstemmed |
Use of ridge regression for the prediction of early growth performance in crossbred calves |
title_sort |
Use of ridge regression for the prediction of early growth performance in crossbred calves |
author |
Gouveia Pirrientel, Eduardo da Cruz |
author_facet |
Gouveia Pirrientel, Eduardo da Cruz Aidar de Queiroz, Sandra Carvalheiro, Roberto Fries, Luiz Alberto |
author_role |
author |
author2 |
Aidar de Queiroz, Sandra Carvalheiro, Roberto Fries, Luiz Alberto |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) GenSys Consultores Associados S S Ltda Lagoa Serra Ltda Holland Genet |
dc.contributor.author.fl_str_mv |
Gouveia Pirrientel, Eduardo da Cruz Aidar de Queiroz, Sandra Carvalheiro, Roberto Fries, Luiz Alberto |
dc.subject.por.fl_str_mv |
crossbreeding epistasis genotype by environment interaction heterosis multicollinearity |
topic |
crossbreeding epistasis genotype by environment interaction heterosis multicollinearity |
description |
The problem of multicollinearity in regression analysis was studied. Ridge regression (RR) techniques were used to estimate parameters affecting the performance of crossbred calves raised in tropical and subtropical regions by a model including additive, dominance, joint additive or profit heterosis and epistatic effects and their interactions with latitude in an attempt to model genotype by environment interactions. A software was developed in Fortran 77 to perform five variant types of RR: the originally proposed method; the method implemented by SAS; and three methods of weighting the RR parameter lambda. Three mathematical criteria were tested with the aim of choosing a value for the lambda coefficient: the sum and the harmonic mean of the absolute Student t-values and the value of lambda at which all variance inflation factors (VIF) became lower than 300. Prediction surfaces obtained from estimated coefficients were used to compare the five methods and three criteria. It was concluded that RR could be a good alternative to overcome multicollinearity problems. For all the methods tested, acceptable prediction surfaces could be obtained when the VIF criterion was employed. This mathematical criterion is thus recommended as an auxiliary tool for choosing lambda. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-09-01 2020-12-10T18:06:23Z 2020-12-10T18:06:23Z |
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 |
Genetics And Molecular Biology. Ribeirao Pret: Soc Brasil Genetica, v. 30, n. 3, p. 536-544, 2007. 1415-4757 http://hdl.handle.net/11449/195879 WOS:000249206200006 |
identifier_str_mv |
Genetics And Molecular Biology. Ribeirao Pret: Soc Brasil Genetica, v. 30, n. 3, p. 536-544, 2007. 1415-4757 WOS:000249206200006 |
url |
http://hdl.handle.net/11449/195879 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Genetics And Molecular Biology |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
536-544 |
dc.publisher.none.fl_str_mv |
Soc Brasil Genetica |
publisher.none.fl_str_mv |
Soc Brasil Genetica |
dc.source.none.fl_str_mv |
Web of Science 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 |
|
_version_ |
1808129185393147904 |