Increasing the flexibility of mixed models by using fractional polynomials

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorFederal University of Amazonas-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorGarcia, Edijane Paredes-
Autor(es): dc.creatorTrinca, Luzia Aparecida-
Data de aceite: dc.date.accessioned2025-08-21T23:38:32Z-
Data de disponibilização: dc.date.available2025-08-21T23:38:32Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.28951/bjb.v40i4.619-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/249623-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/249623-
Descrição: dc.descriptionThe class of regression models incorporating Fractional Polynomials (FPs), proposed by Royston and colleagues in the 1990’s, has been extensively studied and shown to be fruitful in the presence of non-linearity between the response variable and continuous covariates. FP functions provide an alternative to higher-order polynomials and splines for dealing with lack-of-fit. Mixed models may also benefit from this class of curves in the presence of non-linearity. The inclusion of FP functions into the structure of linear mixed models has been previously explored, though for simple layouts, e.g. a single covariate in the random intercept model. This paper proposes a general strategy for model-building and variable selection that takes advantage of the FPs within the framework of linear mixed models. Application of the method to three data sets from the literature, known for violating the linearity assumption, illustrates that it is possible to solve the problem of lack-of-fit by using fewer terms in the model than the usual approach of fitting higher-order polynomials.-
Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionDepartment of Statistics Federal University of Amazonas-
Descrição: dc.descriptionBiosciences Institute São Paulo State University “Júlio de Mesquita Filho”-
Descrição: dc.descriptionBiosciences Institute São Paulo State University “Júlio de Mesquita Filho”-
Descrição: dc.descriptionCAPES: 001-
Formato: dc.format469-489-
Idioma: dc.languageen-
Relação: dc.relationRevista Brasileira de Biometria-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectLack-of-fit-
Palavras-chave: dc.subjectLongitudinal data-
Palavras-chave: dc.subjectRandom effects-
Palavras-chave: dc.subjectSelection of variables-
Palavras-chave: dc.subjectTransformation-
Palavras-chave: dc.subjectVariance-covariance structure-
Título: dc.titleIncreasing the flexibility of mixed models by using fractional polynomials-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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