Abstract
An empirical Bayesian approach is applied to a prediction of an individual growth in height at an early stage of life. The sample has 548 normal growth of Japanese girls whose measurements are available on request. The prior distribution of estimator of the growth parameter vector in a lifetime growth model is obtained conventionally from the least squares estimates of the growth parameters. The choice of prior distributions is discussed from a practical point of view. It is possible to obtain a relevant prediction of growth based upon only measurements during the first six years of life. The lifetime prediction of individual growth at the age of 6 is enough approximation of real measurements obtained. This report deals with the comparison between the least squares estimates and an empirical Bayes estimates of the growth parameters and the characteristic points of the growth curve. We discuss the mean-constant growth curves of the groups classified by the height intervals at the age of 6.
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This work was supported in part by the ISM Cooperative Research Program (2-ISM·CRP-63).
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Shohoji, T., Kanefuji, K., Sumiya, T. et al. A prediction of individual growth of height according to an empirical Bayesian approach. Ann Inst Stat Math 43, 607–619 (1991). https://doi.org/10.1007/BF00121642
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DOI: https://doi.org/10.1007/BF00121642