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March, 1984 Nonparametric Regression Analysis of Growth Curves
Theo Gasser, Hans-Georg Muller, Walter Kohler, Luciano Molinari, Andrea Prader
Ann. Statist. 12(1): 210-229 (March, 1984). DOI: 10.1214/aos/1176346402


In recent years, nonparametric curve estimates have been extensively explored in theoretical work. There has, however, been a certain lack of convincing applications, in particular involving comparisons with parametric techniques. The present investigation deals with the analysis of human height growth, where longitudinal measurements were collected for a sample of boys and a sample of girls. Evidence is presented that kernel estimates of acceleration and velocity of height, and of height itself, might offer advantages over a parametric fitting via functional models recently introduced. For the specific problem considered, both approaches are biased, but the parametric one shows qualitative and quantitative distortion which both are not easily predictable. Data-analytic problems involved with kernel estimation concern the choice of kernels, the choice of the smoothing parameter, and also whether the smoothing parameter should be chosen uniformly for all subjects or individually.


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Theo Gasser. Hans-Georg Muller. Walter Kohler. Luciano Molinari. Andrea Prader. "Nonparametric Regression Analysis of Growth Curves." Ann. Statist. 12 (1) 210 - 229, March, 1984.


Published: March, 1984
First available in Project Euclid: 12 April 2007

zbMATH: 0535.62088
MathSciNet: MR733509
Digital Object Identifier: 10.1214/aos/1176346402

Primary: 65D10
Secondary: 62D25, 62G05, 62J99, 92A05

Rights: Copyright © 1984 Institute of Mathematical Statistics


Vol.12 • No. 1 • March, 1984
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