THEORY

Nelder, J.A. (1961) The fitting of a generalization of the logistic curve. Biometrics 17, 89-100.

Nelder, J.A. (1962) An alternative form of a generalized logistic equation. Biometrics 18, 614-616.

Potthof, R.F. and Roy, S.N. (1964) A generalized multivariate analysis of variance model useful especially for growth curve problems. Biometrika 51, 313-326.

Rao, C.R. (1965) The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves. Biometrika 52, 447-458.

Geisser, S. (1970) A Bayesian analysis of growth curves. Sankhya A, 32, 53-64.

Lee, J., and Geisser, S. (1972) Growth curve prediction. Sankhya A, 34, 393-412.

Lee, J., and Geisser, S.(1975) Applications of growth curve prediction. Sankhya A, 37, 239-256.

Geisser, S. (1980) Growth curve analysis. In : P.R.Krishnaiah (Ed). handbook of statistics, Vol 1(pp. 89-115), Amsterdam, North Holland.

Gasser, Th., Muller, H.G., Kohler, W., Molinari, L., and Prader, A. (1984) Nonparametric regression analysis of growth curves. Annals of Statistics 12, 210-229.

Schwertman, N.C. and Heilbrun, L.K. (1986) A successive differences method for growth curves with missing data and random observation times. Journal of the American Statistical Association 912-921.

Heitjan, D.F. (1991a) Generalized Norton-Simon models of tumor growth. Statistics in Medicine 10, 1075-1088

Heitjan, D.F. (1991b) Nonlinear modelling of serial immunologic data : a case study. Journal of the American Statistical Association 86, 891-898

von Rosen, D. (1991) The growth curve model: a review. Comm. Stat. : Theory and Methods 20, 2791-2822.

Barry, D. (1995) A Bayesian model for growth curve analysis. Biometrics 51, 639-655.

Lambert, P. (1996) Modelling of nonlinear growth curve on series of correlated count data measured at unequally spaced times: a full likelihood based approach. Biometrics 52, 50-55.

A broader look at the theory and practice underlying the analysis of data recorded over time is provided by:

Diggle, P.J., Liang, K-Y, Zeger, S.L. (1995) Analysis of longitudinal data, Clarendon Press, Oxford.

COMPUTING

Ridout, M.S. (1993) A note on fitting a growth-curve model. Genstat Newsletter 29,6-8, NAG,Oxford.

Keen, A. (1994) The GLM-approach for fitting a growth-curve model. Genstat Newsletter 30,28-36, NAG,Oxford.

APPLICATIONS

Radford, P.J. (1967) Growth analysis formulae : their use and abuse. Crop Science 7,171-5.

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Growth curve modelling 1.6.95 References