Fitting Growth Curve Allowing for Periodicities

  • Thu Hoang
  • Van Parsons


Curve fitting appeals to many students of growth as a method of, getting parsimonious summary of longitudinal growth data yt in terms of a trend mt, the model being
$${y_t} = {m_t}\; + \;{e_t}$$
where t denotes the age and et the noise. Thus the focus is put exclusively upon the fit of age either parametrically (Marubini, 1978) or nonparametrically (Largo et al., 1978). Among various methods of fitting (Bock and Thissen, 1979), least squares regression is the most widely used with the practice of assuming et to estimate mt then checking et for goodness of fit The structure of the noice is not taken into account in the estimation procedure.


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  1. Bartlett, M.S. 1966, An Introduction to Stochastic. Processes, Cambridge, University Press.Google Scholar
  2. Billewicz, W.Z., 1967, A note on body weight measurements and seasonal variation, Hum. Biol., 39: 241.Google Scholar
  3. Bock R. and Thissen, D., 1980, Statistical problems of fitting individual growth curves, in: Human Physical Growth and Maturation F.E. Johnston, A.F. Roche and C. Susanne, eds., Plenum Press.Google Scholar
  4. Fisher, R.A., 1929, Test of significance in harmonic analysis, Proc. Roy. Soc. A, 125: 54–59.CrossRefGoogle Scholar
  5. Grenander, U. and Rosenblatt, M., 1957, Statistical Analysis of Stationary Time Series, New York, Wiley.Google Scholar
  6. Hoang, T. and Lazar, P., 1982, Seasonal variations in children weight growth rates, to appear in: Collegium Anthropologicum.Google Scholar
  7. Largo, R.H., Stutzle, W., Gasser, T.H., Huber, P.J. and Prader, A., 1978, Analysis of the adolescent growth spurt using smoothing splines functions, Ann. Hum. Biol, 5: 421–434.PubMedCrossRefGoogle Scholar
  8. Mann, H.B. and Wald, A., 1943, On the statistical treatment of linear stochastic difference equations, Econometrica, 11: 173–220CrossRefGoogle Scholar
  9. Marshall, E.L., 1937, A review of American research on seasonal variation in stature and body weight, Pediatr, 10: 819.Google Scholar
  10. Marubini, E., 1978, Mathematical handling of lon; term longitudinal data, in: Human Growth, F. Falkner and J.M. Tanner, eds., 209–225.Google Scholar
  11. Takahashi, E., 1966, Growth and environmental factors in Japan, Hum. Biol, 38: 112.PubMedGoogle Scholar
  12. Thompson, D’Arcy W., 1942, Growth and Form, Second ed., London, Cambridge, University Press.Google Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Thu Hoang
    • 1
    • 2
  • Van Parsons
    • 1
    • 2
  1. 1.Université Paris V & InsermFrance
  2. 2.University of CincinnatiUSA

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