Fractional polynomial response surface models

dc.contributor.authorGilmour, Steven G.
dc.contributor.authorTrinca, Luiza A. [UNESP]
dc.contributor.institutionUniversity of London
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:21:17Z
dc.date.available2014-05-27T11:21:17Z
dc.date.issued2005-03-01
dc.description.abstractSecond-order polynomial models have been used extensively to approximate the relationship between a response variable and several continuous factors. However, sometimes polynomial models do not adequately describe the important features of the response surface. This article describes the use of fractional polynomial models. It is shown how the models can be fitted, an appropriate model selected, and inference conducted. Polynomial and fractional polynomial models are fitted to two published datasets, illustrating that sometimes the fractional polynomial can give as good a fit to the data and much more plausible behavior between the design points than the polynomial model. © 2005 American Statistical Association and the International Biometric Society.en
dc.description.affiliationSchool of Mathematical Sciences University of London, Mile End Road, London E1 4NS
dc.description.affiliationDepartment of Biostatistics Institute of Biosciences UNESP, 18618-000 Botucatu, SP
dc.description.affiliationUnespDepartment of Biostatistics Institute of Biosciences UNESP, 18618-000 Botucatu, SP
dc.format.extent50-60
dc.identifierhttp://dx.doi.org/10.1198/108571105X29029
dc.identifier.citationJournal of Agricultural, Biological, and Environmental Statistics, v. 10, n. 1, p. 50-60, 2005.
dc.identifier.doi10.1198/108571105X29029
dc.identifier.issn1085-7117
dc.identifier.scopus2-s2.0-16344380465
dc.identifier.urihttp://hdl.handle.net/11449/68147
dc.identifier.wosWOS:000227463200004
dc.language.isoeng
dc.relation.ispartofJournal of Agricultural, Biological, and Environmental Statistics
dc.relation.ispartofjcr1.072
dc.relation.ispartofsjr0,765
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectBox-Tidwell transformations
dc.subjectEmpirical modeling
dc.subjectNonlinear regression
dc.subjectParametric modeling
dc.subjectResponse surface methodology
dc.subjectstatistical analysis
dc.titleFractional polynomial response surface modelsen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights
unesp.author.orcid0000-0003-1106-8505[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Botucatupt

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