Abstract
In studying growth and development in man, information pertinent to several variables is gathered; the most commonly used are: height, weight, sitting height, leg length, biacromial and biiliac diameters, and head and chest circumferences.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anderson, M., Hwang, S., Green, W. T., 1965, Growth of the normal trunk in boys and girls during the second decade of life, J. Bone Joint Surg. 8:1554.
Barbensi, G., 1965, L’adattamento della curva logistica, Statistica 25:27; 225.
Bayley, N., 1946, Tables for predicting adult height from skeletal age and present height, J. Pediatr. 28:49.
Bertalanffy, L. von, 1957, Quantitative laws in metabolism and growth, Q. Rev. Biol. 32:217.
Bock, R. D., Wainer, H., Petersen, A., Thissen, D., Murray, J., and Roche A., 1973, A parametrization for individual human growth curves, Hum. Biol. 45:63.
Causton, D. R., 1969, A computer program for fitting the Richards function, Biometrics 25:401.
Count, E. W., 1942, A quantitative analysis of growth in certain human skull dimensions, Hum. Biol 14:143.
Count, E. W., 1943, Growth patterns of the human physique: An approach to kinetic anthropometry. Part I, Hum. Biol. 15:1.
Courtis, S. A., 1937, What is a growth cycle?, Growth 1:155.
Daniel, C, and Wood, F., 1971, Fitting Equations to Data, Computer Analysis of Multifactor Data for Scientists and Engineers, Wiley, New York.
Draper, N. R., and Smith, H., 1966, Applied Regression Analysis, Wiley, New York.
Day, N. E., 1966, Fitting curves to longitudinal data, Biometrics 22:276.
Deming, J., 1957, Application of the Gompertz curve to the observed pattern of growth in length of 48 individual boys and girls during the adolescent cycle of growth, Hum. Biol 29:83.
Deming, J., and 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, Hum. Biol. 35:484.
Eichora, D. H., and Bayley, N., 1962, Growth in head circumference from birth through young adulthood, Child Dev. 33:257.
Estes, W. K., 1956, The problem of inference from curves based on group data, Psychol. Bull. 53:143.
Fabens, A. J., 1965, Properties and fitting of the von Bertalanffy growth curve, Growth 29:265.
Fisher, R. A., 1925, Theory of statistical estimation, Proc. Camb. Phil. Soc. 22:722.
Forsythe, G. E., 1957, Generation and use of orthogonal polynomials for data fitting by computer, J. Soc. Ind. Appl. Math. 5:74.
Frisch, R. E., and Revelle, R., 1969, The height and weight of adolescent boys and girls at the time of peak velocity of growth in height and weight: Longitudinal data, Hum. Biol. 41:536.
Frisch, R. E., and Revelle, R., 1971, The height and weight of girls and boys at the time of initiation of adolescent growth spurt in height and weight and the relationship to menarche, Hum. Biol. 43:140.
Goldstein, H., 1971, The mathematical background to the analysis of growth curves. Proceedings of XIII International Congress of Pediatrics, Vienna, August 29-September 4, p. 39.
Goldstein, H., and Carter, B., 1970, Adjusted measurements in longitudinal studies. Compte Rendu de la X Réunion des Équipes chargées des Études sur la Croissance et le Développement de l’Enfant Normal, Centre International de l’Enfance, Davos.
Gruvaeus, G., and Wainer, H., 1972, Two additions to hierarchical cluster analysis, Br. J. Math. Stat. Psychol. 25:200.
Hartley, H. O., 1961, The modified Gauss-Newton method for the fitting of nonlinear regression functions by least squares, Technometrics 3:269.
Hindley, C. B., 1962, The place of longitudinal methods in the study of development, in: Determinants of Behavioral Development (F. J. Monks, W. W. Hartup, and J. de Wit, eds.), pp. 23–50, Academic Press, New York.
Israelsohn, W. J., 1960, Description and modes of analysis of human growth, in: Human Growth (J. M. Tanner, ed.), pp. 21–42, Pergamon, Oxford.
Jenns, R. M., and Bayley, N., 1937, A mathematical method for studying the growth of a child, Hum. Biol. 9:556.
Kohn, P., 1948, Increase in weight and growth of children in the first year of life, Growth 12:150.
Kowalski, C. J., and Guire, K. E., 1974, Longitudinal data analysis, Growth 38:131.
Laird, A. K., 1967, Evolution of human growth curve, Growth 31:345.
Laird, A. K., Tyler, S. A., and Barton, A. D., 1965, Dynamics of normal growth, Growth 29:233.
Manwani, A. H., and Agarwal, K. N., 1973, The growth pattern of Indian infants during the first year of life, Hum. Biol. 45:341.
McCammon, R. W., 1970, Human Growth and Development, Charles C. Thomas, Springfield, Illinois.
Marshall, W. A., 1971, Evaluation of growth rate in height over periods of less than one year, Arch. Dis. Chid. 46:414.
Marubini, E., 1971, I rilievi auxometrici; loro utilizzazione e possibilità di errore, Prospet. Pediatr. 1:35.
Marubini, E., and Cerina, R., 1974, Considerazione sui modelli di uso comune nella interpolazione delle curve di crescita dell’uomo, Statistica 34:557.
Marubini, E., and Resele, L. F., 1971, Computer program for fitting the logistic and the Gompertz function to growth data, Comput. Programs Biomed. 2:16.
Marubini, E., Resele, L. F., and Barghini, G., 1971, A comparative fitting of the Gompertz and logistic function to longitudinal height data during adolescence in girls, Hum. Biol. 43:237.
Marubini, E., Resele, L. F., Tanner, J. M., and Whitehouse, R. H., 1972, The fit of Gompertz and logistic curves to longitudinal data during adolescence on height, sitting height and biacromial diameter in boys and girls of the Harpenden Growth Study, Hum. Biol. 44:511.
Meredith, H. V., 1958, A time series analysis of growth in nose height during childhood, Child. Dev. 29:19.
Merrel, M., 1931, The relationship of individual growth to average growth, Hum. Biol. 3:37.
Morabito, A., and Marubini, E., 1976, A computer program suitable for fitting linear models when the dependent variable is dichotomous, polichotomous or censored survival and non-linear models when the dependent variable is quantitative, Comput. Programs Biomed. 5:283.
Morrison, D. F., 1967, Multivariate Statistical Methods, McGraw-Hill, New York.
Neider, J. A., 1961, The fitting of a generalization of the logistic function, Biometrics 17:89.
Neider, J. A. M., and Mead, R., 1965, A simplex method for function minimization, Comput. J. 7:308.
Olsson, D. M., 1974, A sequential simplex program for solving minimization problems, J. Qual. Technol. 6:53.
Olsson, D. M., and Nelson, L. S., 1975, The Nelder-Mead simplex procedure for function minimization, Technometrics 17:45.
Ratkowsky, D. A., and Dolby, G. R., 1975, Taylor series linearization and scoring for parameters in nonlinear regression, Appl. Stat. 24:109.
Resele, L. F., and Marubini, E., 1972, Problemi connessi con l’uso dell’elaboratore elettronico in auxologia, Appl. Biomed. del Calcolo Elettronico 7:187.
Richards, F. J., 1959, A flexible growth function for empirical use, J. Exp. Bot. 10:290.
Roche, A. F., Wainer, H., and Thissen, D., 1975, Predicting Adult Stature for Individuals, S. Karger, Basel.
Sidman, M., 1952, A note on functional relations obtained from grouped data, Psychol. Bull. 49:263.
Simmons, K., 1944, The Brush Foundation Study of child growth and development. II. Physical growth and development., Monogr. Soc. Res. Child Dev. 9(37): 1.
Tanner, J. M., 1962, Growth at Adolescence, Blackwell, Oxford.
Tanner, J. N., Healy, M. J. R., Lockhart, R. D., MacKenzie, J. D., and Whitehouse, R. H., 1956, Aberdeen growth study. I. The prediction of adult body measurements from measurements taken each year from birth to 5 years, Arch. Dis. Child. 31:372.
Tanner, J. M., Whitehouse, R. H., and Takaishi, M., 1966, Standards from birth to maturity for height, weight, height velocity, and weight velocity: British Children, 1965, Arch. Dis. Child. 41:454.
Tanner, J. M., Whitehouse, R. H., Marshall, W. A., and Carter, B. S., 1975, Prediction of adult height from height, bone age, and occurence of menarche, at ages 4 to 16 with allowance for midparent height, Arch. Dis. Child. 50:14.
Tanner, J. M., Whitehouse, R. H., Marubini, E., and Resele, L. F., 1976, The adolescent growth spurt of the boys and girls of the Harpenden Growth Study, Ann. Hum. Biol. 3:109.
Van der Linden, F. P. G. M., 1970, The interpretation of incremental data and velocity growth curves, Growth 84:221.
Van der Linden, F. P. G. M., Hirschfeld, W. J., and Miller R. L., 1970, On the analysis and presentation of longitudinally collected growth data, Growth 34:385.
Vanderberg, S. G., and Falkner, F., 1965, Hereditary factors in growth: Twin concordance in growth, Hum. Biol. 37:357.
Wainer, H., and Peterson, A., 1972, GROFIT: a FORTRAN program for the estimation of parameters of a human growth curve. Research Memorandum no. 17, Department of Education Statistical Laboratory, University of Chicago, Illinois.
Weiss, P., and Kavanau, J. L., 1957, A model of growth and growth control in mathematical terms, J. Gen. Physiol. 41:1.
Welch, Q. B., 1970, Fitting growth and research data, Growth 34:293.
Whitehouse, R. H., Tanner, J. M., and Healy, M. J. R., 1974, Diurnal variation in stature and sitting-height in 12-to 14-year-old boys, Ann. Hum. Biol. 1:103.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Plenum Press, New York
About this chapter
Cite this chapter
Marubini, E. (1978). Mathematical Handling of Long-Term Longitudinal Data. In: Falkner, F., Tanner, J.M. (eds) Principles and Prenatal Growth. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-0814-0_7
Download citation
DOI: https://doi.org/10.1007/978-1-4684-0814-0_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-0816-4
Online ISBN: 978-1-4684-0814-0
eBook Packages: Springer Book Archive