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首页> 外文期刊>Journal of nonparametric statistics >Covariate-adjusted linear mixed effects model with an application to longitudinal data
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Covariate-adjusted linear mixed effects model with an application to longitudinal data

机译:协变量调整的线性混合效应模型及其在纵向数据中的应用

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摘要

Linear mixed effects (LME) models are useful for longitudinal data/repeated measurements. We propose a new class of covariate-adjusted LME models for longitudinal data that nonparametrically adjusts for a normalising covariate. The proposed approach involves fitting a parametric LME model to the data after adjusting for the nonparametric effects of a baseline confounding covariate. In particular, the effect of the observable covariate on the response and predictors of the LME model is modelled nonparametrically via smooth unknown functions. In addition to covariate-adjusted estimation of fixed/population parameters and random effects, an estimation procedure for the variance components is also developed. Numerical properties of the proposed estimators are investigated with simulation studies. The consistency and convergence rates of the proposed estimators are also established. An application to a longitudinal data set on calcium absorption, accounting for baseline distortion from body mass index, illustrates the proposed methodology.
机译:线性混合效应(LME)模型可用于纵向数据/重复测量。我们针对纵向数据提出了一类新的经协变量调整的LME模型,该模型可以非参数地调整归一化协变量。所提出的方法涉及在调整基线混杂协变量的非参数影响之后,将参数LME模型拟合到数据。特别地,可观察到的协变量对LME模型的响应和预测变量的影响通过平滑的未知函数非参数地建模。除了对固定/人口参数和随机效应进行协变量调整的估计之外,还开发了方差分量的估计程序。拟议估计量的数值性质通过仿真研究进行了研究。还建立了拟议估计量的一致性和收敛速度。钙吸收纵向数据集的应用说明了体重指数的基线变形,说明了所提出的方法。

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