Time series analysis in height growth by Waelet analysis

概要

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The purpose of this study is to determine the peak age (peak height velocity age) and investigate growth distance curves and velocity curves evaluated by Wavelet Analysis whih we presented as an efficient procedure of analysis for this purpose. Ninety eight longitudinal data of height (age 6 to 17 years old) were obtained retrospectively from health examination records in 1983. When considering growth distance data of height as time series data, the relationship between growth distances (y) and time (ages, t), y=F (t) and the f(t){the first derivative of the F(t)} were interpolated by using Analysing Wavelet of Yves. Meyer from time series data {(ti, yi): i=1, 2, 3, …n}. Therefore, the growth distance curves evaluated by Analysing Wavelet ψ (t) were drawn from a numeric calculation by H-P UNIX Work station. As the result, the peak age was identified, and the objective measure of maturity rate in height growth was attempted to evaluate in accordance with PHV age. Further, the growth velocity curves as the first derivative of growth distance curves evaluated by Wavelet Interpolation showed that appearances of both mid-growth spurt and after-growth spurt were confirmed clearly. However, the phase of after-growth spurt has been a little discussed in many studies untill recent day, so, further investigations have to be done with regard to the phase of its appearance.
日本発育発達学会の論文