Wavelet Interpolation Methodによる身長・体重の平均発育速度曲線の検討

Abstract

The purpose of this study is to determine the peak height velocity age(P H V age) of the mean growth velocity curve approximated by the Wavelet Interpolation Method which author presented as an efficient procedure of analysis for this purpose. Ninety eight longitudinal data of height and weight in boys (age 6 to 17 years old) were obtained retrospectively from health examination records in 1983. When considering yearly growth distance data y {y = F (t)} of height and weight as time series data, the growth distance curve F and growth velocity curve f (the first derivative of F) are approximated with Wavelet series by Analysing Wavelet Function of Yves. Meyer. Therefore, F (t) can be interpolated from longitudinal time series data of height and weight {(t i, yi) : i=1,2,3,‥‥‥, 11} by computer simulation (H - P UNIX Work Station). As the result, the graph y = f (t) could be described clearly, and the P H V age was identified and the mean growth velocity curve of height and weight approximated was investigated. In this paper, the procedure of analysis in the study of the physical growth and development was proposed newly as the Wavelet Interpolation Method (W I M).