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Derivative curve estimation in longitudinal studies using P-splines

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dc.affiliation.dptoUC3M. Departamento de Estadísticaes
dc.contributor.authorHernández, María Alejandra
dc.contributor.authorLee, Dae-Jin
dc.contributor.authorRodríguez Álvarez, María Xosé
dc.contributor.authorDurbán Reguera, María Luz
dc.date.accessioned2024-01-15T19:01:03Z
dc.date.available2024-01-15T19:01:03Z
dc.date.issued2023-10-01
dc.description.abstractThe estimation of curve derivatives is of interest in many disciplines. It allows the extraction of important characteristics to gain insight about the underlying process. In the context of longitudinal data, the derivative allows the description of biological features of the individuals or finding change regions of interest. Although there are several approaches to estimate subject-specific curves and their derivatives, there are still open problems due to the complicated nature of these time course processes. In this article, we illustrate the use of P-spline models to estimate derivatives in the context of longitudinal data. We also propose a new penalty acting at the population and the subject-specific levels to address under-smoothing and boundary problems in derivative estimation. The practical performance of the proposal is evaluated through simulations, and comparisons with an alternative method are reported. Finally, an application to longitudinal height measurements of 125 football players in a youth professional academy is presented, where the goal is to analyse their growth and maturity patterns over time.en
dc.identifier.bibliographicCitationHernández MA, Lee D-J, Rodríguez-álvarez MX, Durbán M. (2023). Derivative curve estimation in longitudinal studies using P-splines. Statistical Modelling. 23(5-6), pp. 424-440.en
dc.identifier.doihttps://doi.org/10.1177/1471082X231178078
dc.identifier.issn1471-082X
dc.identifier.publicationissue5-6es
dc.identifier.publicationtitleSTATISTICAL MODELLINGen
dc.identifier.publicationvolume23es
dc.identifier.urihttps://hdl.handle.net/10016/39259
dc.identifier.uxxiAR/0000033822
dc.language.isoenges
dc.publisherSAGE Publicationses
dc.rights© 2023 The Author(s)es
dc.rights.accessRightsopen accessen
dc.subject.ecienciaEstadísticaes
dc.subject.otherDerivative estimationen
dc.subject.otherDouble penaltyen
dc.subject.otherLongitudinal data analysisen
dc.subject.otherP-splinesen
dc.titleDerivative curve estimation in longitudinal studies using P-splinesen
dc.typeresearch articleen
dc.type.hasVersionAMes
dspace.entity.typePublication
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