Current Developments in the Design and Analysis of Growth Studies

  • H. Goldstein


In a book published three years ago (Goldstein, 1979), an attempt was made to summarise the state of technical knowledge on the efficient design and analysis of longitudinal studies. In this paper we intend to review work which has been done since that book was written, indicating current areas of interest with an emphasis on those aspects of the subject which look most fruitful, and in particular where current practice appears to be weak.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Altham, P.M.E., 1979, Detecting relationships between categorical variables observed over time: a problem of deflating a chi-squared statistic. Applied Statistics, 28: 115–125.CrossRefGoogle Scholar
  2. Angers, D., 1979, Simultaneous estimation of percentile curves with application to salary data. J. of American Statistical Association, 74: 621–625.CrossRefGoogle Scholar
  3. Bailar, B.A., 1975, The effects of rotation group bias in estimates from panel surveys. J. of American Statistical Association, 70: 23–30.CrossRefGoogle Scholar
  4. Baker, R.J. and Nelder, J.A., 1978, Generalized linear interactive modelling (GLIM). Rothamsted Experimental Station, Harpenden, Herts.Google Scholar
  5. Berkey, C.S., 1982, Comparison of two longitudinal growth models for pre-school children. Biometrics, 38: 221–234.PubMedCrossRefGoogle Scholar
  6. Billewicz, W.Z., Fellowes, H.M. and Hytten, C.A., 1976, Comments on the critical metabolic mass •and age of menarche. Ann. Human Biology, 3: 51–60.Google Scholar
  7. Bock, R.D. and Thissen, D., 1980, Statistical problems of fitting individual growth curves, in: Human Growth and Motivation: Methodologies and Factors, by Johnston, F.E., Roche, A.F. and Susanne, C. (Eds.), Plenum, New-York.Google Scholar
  8. Bock, R.D., 1982, Prediction of mature stature. Golden. Jubilee Celebrations of the Indian Statistical Institute.Google Scholar
  9. Bookstein, F.C., 1978, The measurement of biological shape and shape change. Springer-Verlag, New York.CrossRefGoogle Scholar
  10. Cameron, N., 1980, Conditional standards for growth in height of British cildren from 5.0 to 15.99 years of age. Ann. Human Biology, 7: 331–338.Google Scholar
  11. Fendt, K., Helms, R.W. and Morrisey, L.J., 1979, Some examples of implementing longitudinal data management in SAS. Proceedings of Statistical Computing Section of American Statistical Association, 1979, 170–173.Google Scholar
  12. Frisch, R.C. and Revelle, R., 1971, Height and weight at menarche and a hypothesis of menarche. Arch. Dis. Child., 46: 695–701.Google Scholar
  13. Glazeby, C.A., 1979, Correlated residuals in non-linear regression applied to growth data Applied statistics, 28: 251–259. Goldstein, H., 1979, The design and analysis of longitudinal stu-dies. Academic Press, London.Google Scholar
  14. Goldstein, H., 1981, Measuring the stability of individual growth patterns. Ann. Human Biology, 8: 549–557.Google Scholar
  15. Goldstein, H., 1981, Some graphical procedures for the preliminary processing of longitudinal data, in: Interpreting Multivariate data. Ed. Barnett, V. Wiley, New York.Google Scholar
  16. Harrison, J.M. and Marshall, W.A.M., 1970, Normal standards for the relationships between the lengths of limbs and limb segments in young British women. Human Biology, 42: 90–104.PubMedGoogle Scholar
  17. Healy, M.J.R. and Tanner, J.M., 1981, Size and shape in relation to growth and form. Symposium of Zoological Society of London, 46: 19–35.Google Scholar
  18. Hellier, J. and Goldstein, H., 1979, Use of Birthweight and Gestation to assess perinatal mortality risk. J. of Epidemiology Community Health, 33: 183–185.CrossRefGoogle Scholar
  19. Hidiroglou, M.A., 1981, Computerization of complex survey estimates. Proc. Statistical Computing Section of American Statistical Association, 1981, 1–7.Google Scholar
  20. Hoinville, G. and Jowell, R., 1978, Survey research practice, Heinemann, London.Google Scholar
  21. Holt, D., Scott, A.J. and Ewings, P.D., 1980a, Chi-squared tests with survey data. J. Royal Statist. Soc. A, 143: 303–320.Google Scholar
  22. Holt, D., Smith, T.M.F. and Winter, P.D,, 1980b, Regression analysis of data from complex surveys. J. Royal Statist. Soc. A, 143: 474–487.Google Scholar
  23. Johnson, C. Amara, I., Edwards, S. and Koch, G.G., 1981, Some computational strategies for the analysis of longitudinal catego-rical data Proceedings of Statistical Computing Section of American Statistical Association, 1981, 293–298.Google Scholar
  24. Jordan, J., Ruben, M., Hernandez, J., Bebelagua, A., Tanner, J.M. and Goldstein, H., 1975, The 1972 Cuban national child growth study as an example of population health monitoring: Design and Methods. Ann. of Human Biology, 2: 153–171.Google Scholar
  25. Kerachisky, S.M. and Mellor, C.D., 1981, The effect of monitoring payments on survey responses: Experimental evidence from a longitudinal study of economically disadvantaged youths. Proceedings of Section on Survey Research Methods of American Statistical Association, 1981, 258–263.Google Scholar
  26. Kish, L., 1965, Survey Sampling. Wiley, New York.Google Scholar
  27. Koch, G.G., Landis, J.R., Freeman, J.L., Freeman, D.H. and Lehnen, R.G., 1977, A general methodology for the analysis of experiments with repeated measurement of categorical data. Biometrics, 33: 133–158.PubMedCrossRefGoogle Scholar
  28. Korn, E.L. and Whittemore, A.S., 1979, Methods for analysing Panel studies of acute health effects of air polution. Biometrics, 35: 795–802.PubMedCrossRefGoogle Scholar
  29. Koziol, J.A., Maxwell, D.A., Fukushima, M., Colmerauer, M.A.M. and Pilch, Y.H., 1981, A distribution-free test for turner-growth curve analyses with application to an animal immunotherapy experiment. Biometrics, 37: 383–390.PubMedCrossRefGoogle Scholar
  30. Landis, J.R., Standish, N.M. and Koch, G.G., 1976, A Computer Program for the Generalized Chi-Square Analysis of Categorical Data Using Weighted Least Squares to Compute Wald Statistics (GENCAT). Department of Biostatistics, University of Michigan.Google Scholar
  31. Lessler, J.T., Maron, R.E., Rosthal, R.A., Pugh, G.E. and Caldwell, J.G., 1978, Non-respondent subsampling schemes for longitudinal surveys. Proceedings of Section on Survey Research Methods of American Statistical Association, 1978, 617–620.Google Scholar
  32. Mednick, S.A. and Baert, A.E., 1981, Prospective longitudinal Research. Oxford University Press, Oxford.Google Scholar
  33. Pelletier, P.A. and Nolte, M.A., I978, Data Processing and Data-Base Management–The Panel Study of Income Dynamics. Proceedings of Section on Survey Research Methods of American Statis tical Association, 1978, 660–666.Google Scholar
  34. Pleris, I., 1981, Using longitudinal data to model teachers’ ratings of classroom behaviour as a dynamic process. J. of Educational Statistics, 6: 237–255.CrossRefGoogle Scholar
  35. Rao, C.T., 1965, The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves, Biometrika, 52: 447–458.PubMedGoogle Scholar
  36. Reinsel, G., 1982, Multivariate repeated-measurement or growth curve models with multivariate random-effects covariance structure. J. of American Statistical Association, 77, 190–195.CrossRefGoogle Scholar
  37. Robinson, B.N., Anderson, G.D., Cohen, E. and Gazdzik, W,F., 1977, Scientific information retrieval; Users Manual. S. I. R. Inc., Evanston, Illinois, U.S.A.Google Scholar
  38. Rona, R.J. and Altman, D.G., 1977, National study of health and growth: standards of attained height, weight and triceps skin-fold in English children 5 to 11 years old. Ann. of Human Biology, 4: 501–523.CrossRefGoogle Scholar
  39. Sandland, R.L. and McGilchrist, C.A., 1979, Stochastic growth curve analysis. Biometrics, 35: 255–271.CrossRefGoogle Scholar
  40. Stutzle, W., Gasser, T., Molinari, I., Largo, R.M. Prader, A. and Huber, P.J., 1980, Shape invariant modelling of human growth. Ann. of Human Biology, 7: 507–528.CrossRefGoogle Scholar
  41. Tanner, J.M., Whitehouse, R.H., Marshall, W.A., Healy, M.J.R. and Goldstein, H., 1975, Assessment of skeletal maturity and prediction of adult height. Academic Press, London.Google Scholar
  42. Three Generations of children, 1982, Colour Video Film. 55 Minutes. Audio Visual Department, University of Bristol, Bristol, England.Google Scholar
  43. Thompson, D.A.W., 1961, On growth and form. Ed. J.T. Bonner, Cambridge University Press.Google Scholar
  44. Ware, J.M. and Wu, M.C., 1981, Tracking: Prediction of future values from serial measurements. Biometrics, 37: 427–437.Google Scholar
  45. Weiss, P and Kavanu, J.L., 1957, A model for growth and growth control in mathematical terms. J. of General Physiology, 41: 1–47.CrossRefGoogle Scholar
  46. Wu, M. and Ware, J.M., 1979, On the use of repeated measurements in regression analysis with dichotomous responses, Biometrics, 35: 513–521.PubMedCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • H. Goldstein
    • 1
  1. 1.Department of MathematicsStatistics and Computing Institute of EducationLondonUK

Personalised recommendations