Sager G
Institut für Meereskunde der Akademie der Wissenschaften, Deutschen Demokratischen Republik, Warnemünde.
Gegenbaurs Morphol Jahrb. 1987;133(4):563-71.
Series of values for body height of adults ranging from 150 to 190 cm and the corresponding body weights for 9 age groups from 15 to 65 a are interrelated by 5 test functions. Results of nonlinear regressions as gained by minimization of the sums of the squares and absolute values of the deviations are summarized in tables for comparison. The last position in the goodness-of-fit is held by the allometric relation W = alpha L beta preceded by the exponential type W = abL. No considerable gain can be realised by taking the expression W = a exp (b Lp). A big step is reached, however, with the change to the form W = W150 + alpha (L-150) beta reducing the linear deviations to about 1/3 or more. Finally the 3-parameter structure W = W A + alpha (L-150) beta yields even closer approximations. Tables with the results for the last 2 relations are given together with a graph for the best approximation.
150至190厘米的成年人身高系列值以及15至65岁9个年龄组的相应体重值通过5个测试函数相互关联。通过最小化偏差平方和与绝对值之和得到的非线性回归结果汇总在表格中以供比较。拟合优度的最后一位是异速生长关系W = αLβ，排在指数类型W = abL之后。采用表达式W = a exp (b Lp)并不能实现显著的改进。然而，当改为W = W150 + α (L - 150)β形式时，取得了很大进展，将线性偏差减少到约1/3或更低。最后，三参数结构W = WA + α (L - 150)β产生了更接近的近似值。给出了最后两种关系结果的表格以及最佳近似值的图表。
