SMOOTHING REFERENCE CENTILE CURVES - THE LMS METHOD AND PENALIZED LIKELIHOOD
SMOOTHING REFERENCE CENTILE CURVES - THE LMS METHOD AND PENALIZED LIKELIHOOD
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DOI：
10.1002/sim.4780111005
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发表时间：
1992-07-01
影响因子：
2
通讯作者：
GREEN, PJ
中科院分区：
文献类型：
--
作者：
COLE, TJ;GREEN, PJ
参考百分位数曲线显示测量值的分布，因为它根据一些协变量（通常是年龄）而变化。LMS方法通过代表中位数、变异系数和偏度的三条曲线总结变化的分布，偏度表示为Box-Cox幂。使用惩罚似然，三条曲线可以通过非线性回归拟合为三次样条，并且所需的平滑程度可以用平滑参数或等效自由度来表示。该方法说明了冈比亚女孩和妇女的三头肌皮褶，体重在美国女孩的数据。
Reference centile curves show the distribution of a measurement as it changes according to some covariate, often age. The LMS method summarizes the changing distribution by three curves representing the median, coefficient of variation and skewness, the latter expressed as a Box-Cox power. Using penalized likelihood the three curves can be fitted as cubic splines by non-linear regression, and the extent of smoothing required can be expressed in terms of smoothing parameters or equivalent degrees of freedom. The method is illustrated with data on triceps skinfold in Gambian girls and women, and body weight in U.S.A. girls.