Individual and population penalized regression splines for accelerated longitudinal designs

Jaroslaw Harezlak, Louise M. Ryan, Jay N. Giedd, Nicholas Lange

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

In an accelerated longitudinal design (ALD), individuals enter the study at different points of their growth trajectory and are observed over a short time span relative to the entire time span of interest. ALD data are combined across independent units to provide an estimate of an overall population curve and predictions of individual patterns of change. As a modest extension of the work of Ruppert et al. (2003, Semiparametric Regression, Cambridge University Press), we develop a computationally efficient procedure for the application of longitudinal semiparametric methods under ALD sampling schemes. We compare balanced and complete longitudinal designs to ALDs using the Berkeley Growth Study data and apply our method to longitudinal magnetic resonance imaging (MRI) brain structure size (volume) measurements from an ongoing developmental study. Potential applications extend beyond growth studies to many other fields in which cost and feasibility constraints impose restrictions on sample size and on the numbers and timings of repeated measurements across subjects.

Original languageEnglish (US)
Pages (from-to)1037-1048
Number of pages12
JournalBiometrics
Volume61
Issue number4
DOIs
StatePublished - Dec 2005
Externally publishedYes

Fingerprint

Penalized Regression
Regression Splines
Penalized Splines
Splines
Growth
Population
Volume measurement
Sample Size
Magnetic resonance
magnetic resonance imaging
Magnetic Resonance Imaging
trajectories
Semiparametric Regression
Semiparametric Methods
Costs and Cost Analysis
Brain
Repeated Measurements
Sampling Design
Trajectories
Sampling

Keywords

  • Brain volume
  • Growth curves
  • Magnetic resonance imaging
  • Mixed effects
  • Pediatric development
  • Smooth regression

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Public Health, Environmental and Occupational Health
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Statistics and Probability

Cite this

Individual and population penalized regression splines for accelerated longitudinal designs. / Harezlak, Jaroslaw; Ryan, Louise M.; Giedd, Jay N.; Lange, Nicholas.

In: Biometrics, Vol. 61, No. 4, 12.2005, p. 1037-1048.

Research output: Contribution to journalArticle

Harezlak, Jaroslaw ; Ryan, Louise M. ; Giedd, Jay N. ; Lange, Nicholas. / Individual and population penalized regression splines for accelerated longitudinal designs. In: Biometrics. 2005 ; Vol. 61, No. 4. pp. 1037-1048.
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