Nonparametric Regression Analysis of Growth Curves

作者: Theo Gasser , Hans-Georg Muller , Walter Kohler , Luciano Molinari , Andrea Prader

DOI: 10.1214/AOS/1176346402

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

参考文章(41)
Jacqueline K. Benedetti, On the Nonparametric Estimation of Regression Functions Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 39, pp. 248- 253 ,(1977) , 10.1111/J.2517-6161.1977.TB01622.X
Ettore Marubini, Mathematical Handling of Long-Term Longitudinal Data Springer, Boston, MA. pp. 209- 225 ,(1978) , 10.1007/978-1-4684-0814-0_7
A Prader, L Molinari, R H Largo, Analysis of the growth spurt at age seven (mid-growth spurt). Helvetica paediatrica acta. ,vol. 35, pp. 325- 334 ,(1980)
Robert I. Jennrich, Asymptotic Properties of Non-Linear Least Squares Estimators Annals of Mathematical Statistics. ,vol. 40, pp. 633- 643 ,(1969) , 10.1214/AOMS/1177697731
Peter Hall, On Trigonometric Series Estimates of Densities Annals of Statistics. ,vol. 9, pp. 683- 685 ,(1981) , 10.1214/AOS/1176345474
Greg Reinsel, Multivariate Repeated-Measurement or Growth Curve Models with Multivariate Random-Effects Covariance Structure Journal of the American Statistical Association. ,vol. 77, pp. 190- 195 ,(1982) , 10.1080/01621459.1982.10477785
James E. Grizzle, David M. Allen, Analysis of growth and dose response curves Biometrics. ,vol. 25, pp. 357- ,(1969) , 10.2307/2528795
G. Wahba, S. Wold, A completely automatic french curve: fitting spline functions by cross validation Communications in Statistics-theory and Methods. ,vol. 4, pp. 1- 17 ,(1975) , 10.1080/03610927508827223