Bayesian Analysis for Nonlinear Regression Model Under Skewed Errors, with Application in Growth Curves

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dc.contributor.authorDe la Cruz, Rolando
dc.contributor.authorBranco, Marcia D.
dc.date.accessioned2024-01-10T12:37:45Z
dc.date.available2024-01-10T12:37:45Z
dc.date.issued2009
dc.description.abstractWe have considered a Bayesian approach for the nonlinear regression model by replacing the normal distribution on the error term by some skewed distributions, which account for both skewness and heavy tails or skewness alone. The type of data considered in this paper concerns repeated measurements taken in time on a set of individuals. Such multiple observations on the same individual generally produce serially correlated outcomes. Thus, additionally, our model does allow for a correlation between observations made from the same individual. We have illustrated the procedure using a data set to study the growth curves of a clinic measurement of a group of pregnant women from an obstetrics clinic in Santiago, Chile. Parameter estimation and prediction were carried out using appropriate posterior simulation schemes based in Markov Chain Monte Carlo methods. Besides the deviance information criterion (DIC) and the conditional predictive ordinate (CPO), we suggest the use of proper scoring rules based on the posterior predictive distribution for comparing models. For our data set, all these criteria chose the skew-t model as the best model for the errors. These DIC and CPO criteria are also validated, for the model proposed here, through a simulation study. As a conclusion of this study, the DIC criterion is not trustful for this kind of complex model.
dc.fechaingreso.objetodigital02-04-2024
dc.format.extent22 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1002/bimj.200800154
dc.identifier.eissn1521-4036
dc.identifier.issn0323-3847
dc.identifier.pubmedidMEDLINE:19629998
dc.identifier.urihttps://doi.org/10.1002/bimj.200800154
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76917
dc.identifier.wosidWOS:000269718300004
dc.information.autorucMedicina;De la Cruz R;S/I;119
dc.issue.numero4
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final609
dc.pagina.inicio588
dc.publisherWILEY-BLACKWELL
dc.revistaBIOMETRICAL JOURNAL
dc.rightsacceso restringido
dc.subjectBayesian nonlinear regression
dc.subjectContinuous ranked probability score
dc.subjectGibbs sampling
dc.subjectRepeated measurements
dc.subjectSkew-normal and skew-t distributions
dc.subjectHUMAN CHORIONIC-GONADOTROPIN
dc.subjectT-DISTRIBUTION
dc.subjectLONGITUDINAL DATA
dc.subjectDISTRIBUTIONS
dc.subjectPREGNANCY
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleBayesian Analysis for Nonlinear Regression Model Under Skewed Errors, with Application in Growth Curves
dc.typeartículo
dc.volumen51
sipa.codpersvinculados119
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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