Title: Simple fitting of subject-specific curves for longitudinal data.

Authors: Durban, M; Harezlak, J; Wand, M P; Carroll, R J

Published In Stat Med, (2005 Apr 30)

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.

PubMed ID: 15568201

MeSH Terms: Biometry*; Body Height; Child; Child, Preschool; Data Interpretation, Statistical; Female; Humans; Leukemia, Lymphocytic, Acute/pathology; Leukemia, Lymphocytic, Acute/therapy; Linear Models; Longitudinal Studies; Models, Statistical; Research Support, N.I.H., Extramural; Research Support, Non-U.S. Gov't; Research Support, U.S. Gov't, P.H.S.; Software