Lindstrom M L, Bates D M
Biostatistics Center, University of Wisconsin-Madison 53706.
Biometrics. 1990 Sep;46(3):673-87.
We propose a general, nonlinear mixed effects model for repeated measures data and define estimators for its parameters. The proposed estimators are a natural combination of least squares estimators for nonlinear fixed effects models and maximum likelihood (or restricted maximum likelihood) estimators for linear mixed effects models. We implement Newton-Raphson estimation using previously developed computational methods for nonlinear fixed effects models and for linear mixed effects models. Two examples are presented and the connections between this work and recent work on generalized linear mixed effects models are discussed.
我们针对重复测量数据提出了一个通用的非线性混合效应模型,并定义了其参数的估计量。所提出的估计量是非线性固定效应模型的最小二乘估计量与线性混合效应模型的最大似然(或限制最大似然)估计量的自然组合。我们使用先前为非线性固定效应模型和线性混合效应模型开发的计算方法来实现牛顿 - 拉夫森估计。给出了两个例子,并讨论了这项工作与广义线性混合效应模型近期工作之间的联系。