Simple fitting of subject-specific curves for longitudinal data

M. Durbán, Jaroslaw Harezlak, M. P. Wand, R. J. Carroll

Research output: Contribution to journalArticle

103 Citations (Scopus)

Abstract

We present a simple semiparametric model for fitting subject-specific curves for longitudinal data. Individual curves are modelled as penalized splines with random coefficients. This model has a mixed model representation, and it is easily implemented in standard statistical software. We conduct an analysis of the long-term effect of radiation therapy on the height of children suffering from acute lymphoblastic leukaemia using penalized splines in the framework of semiparametric mixed effects models. The analysis revealed significant differences between therapies and showed that the growth rate of girls in the study cannot be fully explained by the group-average curve and that individual curves are necessary to reflect the individual response to treatment. We also show how to implement these models in S-PLUS and R in the appendix.

Original languageEnglish (US)
Pages (from-to)1153-1167
Number of pages15
JournalStatistics in Medicine
Volume24
Issue number8
DOIs
StatePublished - Apr 30 2005
Externally publishedYes

Fingerprint

Longitudinal Data
Penalized Splines
Curve
Precursor Cell Lymphoblastic Leukemia-Lymphoma
Radiotherapy
Software
Radiation Therapy
Mixed Effects Model
Statistical Software
Random Coefficients
Semiparametric Model
Leukemia
Mixed Model
Therapeutics
Growth
Acute
Therapy
Necessary
Model

Keywords

  • Acute lymphoblastic leukaemia
  • Linear mixed models
  • Penalized splines
  • Restricted likelihood ratio tests

ASJC Scopus subject areas

  • Epidemiology

Cite this

Simple fitting of subject-specific curves for longitudinal data. / Durbán, M.; Harezlak, Jaroslaw; Wand, M. P.; Carroll, R. J.

In: Statistics in Medicine, Vol. 24, No. 8, 30.04.2005, p. 1153-1167.

Research output: Contribution to journalArticle

Durbán, M. ; Harezlak, Jaroslaw ; Wand, M. P. ; Carroll, R. J. / Simple fitting of subject-specific curves for longitudinal data. In: Statistics in Medicine. 2005 ; Vol. 24, No. 8. pp. 1153-1167.
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