Using a nonlinear mixed model to evaluate three models of human stature

Growth, Development and Aging

Volumn 62, Issue 4, 1998, Pages 161-171

  Susman, Ellen P ^a   Murphy, James R ^b   Zerbe, Gary O ^b   Jones, Richard H ^b  

^a METROPOLITAN STATE UNIVERSITY OF DENVER   (United States)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

Asymptotic growth; Human stature; NLINMIX Macro; Nonlinear mixed model; Random effects

Indexed keywords

ADOLESCENT; ARTICLE; BODY HEIGHT; CHILD; DEVELOPMENT; FEMALE; HUMAN; HUMAN EXPERIMENT; MALE; NORMAL HUMAN; PRIORITY JOURNAL; SEX DIFFERENCE; STATISTICAL MODEL; VARIANCE;

HUMANS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS;

EID: 0032432216     PISSN: 10411232     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. AKAIKE, H. 1974. A new look at the statistical model identification. IEEE Trans. Autom. Control, AC-19, 716-723.
2. BOGIN, B., WALL, M., & MACVEAN, R.B. 1990. Longitudinal growth of high socioeconomic status Guatemalan children analyzed by the Preece-Baines function: an international comparison. American Journal of Human Biology, 2, 271-281.
3. CABANA, T., JOLICOEUR, P., & MICHAUD, J. 1993. Prenatal and postnatal growth and allometry of stature, head circumference and brain weight in Quebec children. American Journal of Human Biology, 5, 93-99.
4. DEMING, J. 1957. Application of the Gompertz curve to the observed pattern of growth in length of forty-eight individual boys and girls during the adolescent cycle of growth. Human Biology, 29, 83-122.
5. DEMING, J. & WASHBURN, A.H. 1963. Application of the Jenss Curve to the observed pattern of growth during the first eight years of life in forty boys and forty girls. Human Biology, 35, 484-506.
6. GRIZZLE, J.E. & ALLEN, M. 1969. Analysis of growth and dose response curve. Biometrics, 25, 357-381.
7. HAUSPIE, R.C. 1989. Mathematical models for the study of individual growth patterns. Revue d'Épidémiologie et de Santé Publique, 37, 461-476.
8. HAUSPIE, R.C., WACHHOLDER, A., BARON, G., CANTRAINE, F., SUSANNE, C., & GRAFFER, M. 1980. A comparative study of the fit of four different functions to longitudinal data of growth in height of Belgian girls. Ann. Human Biol., 7, 347-358.
9. HIRST, K., ZERBE, G.O., BOYLE, D.W., WILKENING, R.B. 1991. On nonlinear random effects models for repeated measurements. Commun. Stat. Simulation, 20, 463-478.
10. JOLICOEUR, P., ABIDI, H. & PONTIER, J. 1991. Human Stature: Which Growth Model? Growth, Dev. & Aging, 55, 129-132.
11. JOLICOEUR, P. & PONTIER, J. 1993. Peut-on utiliser des modèles de croissance longitudinale dans l'analyse de données transversales? Biométrie-Praximétrie, 33, 33-44.
12. JOLICOEUR, P., PONTIER, J., & ABIDI, H. 1992. Asymptotic models for the longitudinal growth of human stature. American Journal of Human Biology, 4, 461-468.
13. JOLICOEUR, P., PONTIER, J., PERNIN, M.-O., SEMPE, M. 1988. A lifetime asymptotic growth curve for human height. Biometrics, 44, 995-1003.
14. KANEFUJI, K. & SHOHOJI, T. 1990. On a growth model of human height. Growth, Dev. & Aging, 54, 155-165.
15. LAIRD, A.K. 1967. Evolution of the human growth curve. Growth, 31, 345-355.
16. LAIRD, A.K. & WARE, J.H. 1982. Random-effects models for longitudinal data. Biometrics, 38, 963-974.
17. LINDSTROM, M.J. & BATES, D.M. 1990. Nonlinear mixed effects models for repeated measures data. Biometrics, 46, 673-687.
18. LITTELL, R.C., MILLIKEN, G.A., STROUP, W.W., & WOLFINGER, R.D., 1996. SAS System for Mixed Models. Cary, NC: SAS Institute Inc.
19. MCCAMMON, R. W. 1970. Human Growth and Development. Springfield, IL: C.C. Thomas.
20. PALMER, C.E. 1932. The relationship of erect body length to supine body length. Hum. Biol., 4, 262-271.
21. PONTIER, J. & JOLICOEUR, P. 1996. Pourquoi une modélisation mathématique de la courbe de croissance staturale? Cahiers d'Anthropologie et Biométrie Humaine (Paris), 14, 45-53.
22. PONTIER, J., JOLICOEUR, P., ABIDI, H., & SEMPÉ, M. 1988. Croissance staturale chez l'enfant: le modèle JPPS. Biométrie-Praximétrie, 28, 27-44.
23. PONTIER, J., JOLICOEUR, P., PERNIN, M.-O., ABIDI, H., & SEMPÉ, M. 1988. Modélisation de la courbe de croissance staturale chez l'enfant: le modèle JPPS. Cahiers d'Anthropologie et Biométrie Humaine (Paris), 6, 71-85.
24. PONTIER, J., NORMAND, M., & JOLICOEUR, P. 1989. Modélisation JPPS d'une courbe de maturation osseuse. Biométrie-Praximétrie, 29, 49-62.
25. PREECE, M.A. & BAINES, M.J. 1978. A new family of mathematical models describing the human growth curve. Ann. Hum. Biol., 5, 1-24.
26. SAS INSTITUTE, INC., 1997. SAS/STAT Software: Changes and Enhancements through Release 6.12. Cary, NC: SAS Institute, Inc.
27. SCAMMON, R.E. 1927. The first seriatim study of human growth. Amer. J. Phys. Anthropol, 10, 329-336.
28. SHEINER, L.B. & BEAL, S.L. 1985. Pharmacokinetic parameter estimates from several least squares procedures: Superiority of extended least squares. J. pharmacokinet. & biopharm., 13, 185-201.
29. SHOHOJI, T., & SASAKI, J. 1987. Individual growth of stature of Japanese. Growth, 51, 432-450.
30. nd ed. Springfield, IL: C.C. Thomas.
31. WOLFINGER, R. & LIN, X. 1997. Two Taylor-series approximation methods for nonlinear mixed models. Comput. Stat. & Data Analysis, 25, 465-490.