Hierarchical linear models for the development of growth curves: an example with body mass index in overweight/obese adults
Hierarchical linear models for the development of growth curves: an example with body mass index in overweight/obese adults
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DOI：
10.1002/sim.1218
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发表时间：
2003-06-15
影响因子：
2
通讯作者：
Allison, DB
中科院分区：
文献类型：
--
作者：
Heo, M;Faith, MS;Allison, DB
当在多个时间点上测量的多个个体的数据可能在数量或测量间隔上变化时，分层线性模型（HLM）可能是一个理想的选择。本文提供了一个应用教程，说明如何使用HLM来发展描述随时间自然变化的生长曲线。我们以超重和肥胖成年人的身体质量指数（BMI; kg/m(2)）为例来说明这些方法。我们将BMI增长曲线的个体差异建模为受试者基线特征的函数。具体地说，生长曲线是用两个水平观察来建模的，其中第一个水平是每个个体内的每个测量时间点，第二个水平是每个个体。四个测量体重和身高的纵向数据库符合纳入标准，并汇集进行分析：弗雷明汉心脏研究（FHS）；多重危险因素干预试验（MRFIT）；国家健康和营养调查I （NHANES-I）及其后续研究；以及特库姆塞死亡率随访研究（TMFS）。结果表明，BMI增长轨迹的显著二次模式主要取决于年龄和基线BMI的组合。具体来说，对于相对中度肥胖的年轻人（25小于或等于25或小于或等于30），BMI往往随着时间的推移而增加，而对于年龄较大的人，无论肥胖程度如何，BMI都会下降。这些变化的梯度与基线BMI呈负相关，与性别无关。版权所有：John Wiley Sons， Ltd。
When data are available on multiple individuals measured at multiple time points that may vary in number or inter-measurement interval, hierarchical linear models (HLM) may be an ideal option. The present paper offers an applied tutorial on the use of HLM for developing growth curves depicting natural changes over time. We illustrate these methods with an example of body mass index (BMI; kg/m(2)) among overweight and obese adults. We modelled among-person variation in BMI growth curves as a function of subjects' baseline characteristics. Specifically, growth curves were modelled with two-level observations, where the first level was each time point of measurement within each individual and the second level was each individual. Four longitudinal databases with measured weight and height met the inclusion criteria and were pooled for analysis: the Framingham Heart Study (FHS); the Multiple Risk Factor Intervention Trial (MRFIT); the National Health and Nutritional Examination Survey I (NHANES-I) and its follow-up study; and the Tecumseh Mortality Follow-up Study (TMFS). Results indicated that significant quadratic patterns of the BMI growth trajectory depend primarily upon a combination of age and baseline BMI. Specifically, BMI tends to increase with time for younger people with relatively moderate obesity (25less than or equal toBMIless than or equal to30) but decrease for older people regardless of degree of obesity. The gradients of these changes are inversely related to baseline BMI and do not substantially depend on gender. Copyright (C) 2003 John Wiley Sons, Ltd.