Comparison of height acceleration curves in the Fels, Zurich, and Berkeley growth data.

A new type of smoothing spline designed for nonparametric estimation of growth acceleration curves was applied to longitudinal measures of height from the Fels, Zurich, and Berkeley growth studies. Landmark features of the individual acceleration curves were located and examined for site effects and site by sex interaction. The curves in each group were structurally averaged by transforming the age scale of each child to align the landmarks with overall means. The modal shapes of the structural average curves were found to be highly similar in the three studies, although the relative number of children who conformed to the modal pattern differed among the studies. Significant site by sex interactions were found in the timing of the landmarks associated with the pubertal growth spurt and with the prepubertal 'midspurt'.

[1]  S. Ratcliffe,et al.  The cyclical nature of prepubertal growth. , 1990, Annals of human biology.

[2]  L Molinari,et al.  The dynamics of linear growth in distance, velocity and acceleration. , 1991, Annals of human biology.

[3]  G. Wahba.  Spline models for observational data , 1990 .

[4]  T. Gasser,et al.  A method for determining the dynamics and intensity of average growth. , 1990, Annals of human biology.

[5]  D. W. Scott,et al.  Variable Kernel Density Estimation , 1992 .

[6]  H. Müller,et al.  Nonparametric Regression Analysis of Growth Curves , 1984 .

[7]  R. D. Tuddenham,et al.  Physical growth of California boys and girls from birth to eighteen years. , 1954, Publications in child development. University of California, Berkeley.

[8]  F. Falkner.  Child development. An international method of study. Modem problems in pediatrics, Volume 5. , 1960 .

[9]  T. Gasser,et al.  The dynamics of growth of width in distance, velocity and acceleration. , 1991, Annals of human biology.

[10]  B. Silverman,et al.  Nonparametric regression and generalized linear models , 1994 .

[11]  L Molinari,et al.  An analysis of the mid-growth and adolescent spurts of height based on acceleration. , 1985, Annals of human biology.

[12]  A. Roche.  Human Auxology. (Book Reviews: Growth, Maturation, and Body Composition. The Fels Longitudinal Study, 1929-1991.) , 1992 .

[13]  R. Darrell Bock,et al.  Statistical Problems of Fitting Individual Growth Curves , 1980 .

[14]  James M. Tanner,et al.  Foetus into Man: Physical Growth from Conception to Maturity , 1978 .

[15]  T. Gasser,et al.  Statistical Tools to Analyze Data Representing a Sample of Curves , 1992 .

[16]  J. O. Ramsay,et al.  Computing Reproducing Kernels with Arbitrary Boundary Constraints , 1993, SIAM J. Sci. Comput..

[17]  L Molinari,et al.  Velocity and acceleration of height growth using kernel estimation. , 1984, Annals of human biology.

[18]  W. Stuetzle,et al.  Analysis of the adolescent growth spurt using smoothing spline functions. , 1978, Annals of human biology.

[19]  B. Silverman,et al.  Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .