Residual analysis for linear mixed models
Residual analysis for linear mixed models
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DOI：
10.1002/bimj.200610341
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发表时间：
2007-12-01
影响因子：
1.7
通讯作者：
Singer, Julio da Motta
中科院分区：
文献类型：
--
作者：
Nobre, Juvencio Santos;Singer, Julio da Motta
弹性系数常用于评估统计模型假设的有效性，也可用作模型选择的工具。例如，对于标准（正态）线性模型，残差用于验证方差齐性、效应的线性、离群值的存在、正态性和误差的独立性。类似的用途可以设想为三种类型的残差，从线性混合模型的拟合出现。我们回顾了一些残差分析技术，已被用于在这种情况下，并提出了一个标准化的条件残差有用的，以确定离群观测和集群。我们用一个实际的例子来说明这个过程。
Residuals are frequently used to evaluate the validity of the assumptions of statistical models and may also be employed as tools for model selection. For standard (normal) linear models, for example, residuals are used to verify homoscedasticity, linearity of effects, presence of outliers, normality and independence of the errors. Similar uses may be envisaged for three types of residuals that emerge from the fitting of linear mixed models. We review some of the residual analysis techniques that have been used in this context and propose a standardization of the conditional residual useful to identify outlying observations and clusters. We illustrate the procedures with a practical example.