A smooth test of goodness-of-fit for growth curves and monotonic nonlinear regression models

Biometrics

Volumn 60, Issue 4, 2004, Pages 977-986

  Ducharme, Gilles R ^a   Fontez, Bénédicte ^b  

^a UNIV MONTPELLIER   (France)

^b Institut de l'Elevage   (France)

Author keywords

Goodness of fit test; Growth curve; Nonlinear regression; Residuals; Schwarz selection rule; Smooth test

Indexed keywords

GOODNESS OF FIT; GOODNESS-OF-FIT TEST; GROWTH CURVES; MONOTONICS; NON-LINEAR REGRESSION; NONLINEAR REGRESSION MODELS; RESIDUAL; SCHWARZ SELECTION RULE; SELECTION RULES; SMOOTH TESTS;

REGRESSION ANALYSIS;

GROWTH CURVE; REGRESSION ANALYSIS;

ARTICLE; BODY HEIGHT; CALCULATION; DATA ANALYSIS; GOODNESS OF FIT; GROWTH CURVE; HUMAN; MEASUREMENT; NONLINEAR REGRESSION ANALYSIS; PARAMETER; RELIABILITY; SIMULATION; STATISTICAL ANALYSIS; STATISTICAL MODEL; TECHNIQUE; VALIDATION PROCESS;

EID: 10944228348     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2004.00253.x     Document Type: Article

References (27)

1. Abidi, H., Borms, J., Duquet, W., and Pontier, J. (1996). Bayesian estimation of the parameters of a nonlinear model for the prediction of the adult height in children. Growth, Development and Aging 60, 126-145.
2. Alcala, J. T., Cristobal, J. A., and Gonzalez-Manteiga, W. (1999). Goodness-of-fit test for linear models based on local polynomials. Statistics and Probability Letters 42, 39-46.
3. Butler, G. E., McKie, M., and Ratcliffe, S. G. (1990). The cyclical nature of prepubertal growth. Annals of Human Biology 17, 177-198.
4. Diebolt, J. and Zuber, J. (1999). Goodness-of-fit tests for non-linear heteroscedastic regression models. Statistics and Probability Letters 42, 53-60.
5. Diebolt, J. and Zuber, J. (2001). On testing the goodness-of-fit of nonlinear heteroscedastic regression models. Communication in Statistics, Simulation and Computations 30, 195-216.
6. Ducharme, G. R. and Lafaye de Micheaux, P. (2004). Goodness-of-fit tests of normality for the innovations in ARMA models. Journal of Times Series Analysis, 25, 373-395.
7. Engle, R. F. (1982). A general approach to Lagrange multiplier model diagnostic. Journal of Econometrics 20, 83-104.
8. Fontez, B. and Ducharme, G. R. (2004). Goodness-of-fit for monotonous regression models (in French). Comptesrendus de l'Académie des Sciences-Mathématiques 338, 317-320.
9. Gallant, A. R. (1987). Nonlinear Statistical Models. New York: Wiley.
10. Guo, S., Siervogel, R. M., Roche, A. F., and Chumlea, W. M. C. (1992). Mathematical modeling of human growth: A comparative study. American Journal of Human Biology 4, 93-104.
11. Hart, J. D. (1997). Nonparametric Smoothing and Lack-of-Fit Tests. New York: Springer.
12. Henze, N. (1997). Do components of smooth tests of fit have diagnostic properties? Metrika 45, 121-130.
13. Johnson, A. M. and Umphers, I. S. (1993). A nonlinear regression model for describing averaged growth curves of mice. Communication in Statistics, Theory and Methods, 22, 3407-3418.
14. Jolicoeur, P. (1985). A flexible 3-parameter curve for limited or unlimited somatic growth. Growth 49, 271-281.
15. Jolicoeur, P., Pontier, J., Pernin, M. O., and Sempé, M. (1988). A lifetime asymptotic growth curve for human height. Biometrics 44, 995-1003.
16. Jolicoeur, P., Pontier, J., and Abidi, H. (1992). Asymptotic models for the longitudinal growth of human stature. American Journal of Human Biology 4, 461-468.
17. Kanefuji, K. and Shohoji, T. (1990). On a growth model of human height. Growth, Development and Aging 55, 129-132.
18. Ledwina, T. (1994). Data driven version of Neyman's smooth test of fit. Journal of the American Statistical Association 89, 1000-1005.
19. Neyman, J. (1937). Smooth test for goodness of fit. Skandinavisk Aktuarietidskift 20, 149-199.
20. Pineau, J. C. (1997). Biological modeling of the boy's structural growth curve from 3 months to 11 years (in French). Biométrie Humaine et Anthropologie 15, 169-175.
21. Ratkowsky, D. A. (1990). Handbook of Nonlinear Regression Models. New York: Dekker.
22. Rayner, J. C. W. and Best, D. J. (1989). Smooth Tests of Goodness of Fit. New York: Oxford University Press.
23. Seber, G. A. F. and Wild, C. J. (1989). Nonlinear Regression. New York: Wiley.
24. Sempé, M. (1987). Multivariate and longitudinal data on growing children: Presentation of the French auxological survey. In Data Analysis: The Ins and Outs of Solving Real Problems, J. Janssen, F. Marcotorchino, and J. M. Proth (eds), 3-6. London: Plenum.
25. Stute, W. (1997). Nonparametric model checks for regression. Annals of Statistics 25, 684-692.
26. Walker, J. T. and Walker, O. A. (2000). A multiphasic approach for analyzing the growth curves of two Fels children. Growth, Development and Aging 64, 75-97.
27. Wolfram, S. (1999). The Mathematica Book, 4th edition. Champaign, Illinois: Wolfram Media/Cambridge University Press.