Linear mixed-effects models are linear models with several variance components. Models with a single random-effects factor have two variance components: the random-effects variance, i. e., the inter-subject variance, and the residual error variance, i. e., the intra-subject variance. In many applications, it is practice to report variance components as coefficients of variation. The intra- and inter-subject coefficients of variation are the square roots of the corresponding variances divided by the mean. This article proposes methods for computing confidence intervals for intra- and inter-subject coefficients of variation using generalized pivotal quantities. The methods are illustrated through two examples. In the first example, precision is assessed within and between runs in a bioanalytical method validation. In the second example, variation is estimated within and between main plots in an agricultural split-plot experiment. Coverage of generalized confidence intervals is investigated through simulation and shown to be close to the nominal value.

中文翻译：

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线性混合效应模型中受试者间和受试者间变异系数的广义置信区间。

线性混合效应模型是具有多个方差成分的线性模型。具有单个随机效应因子的模型具有两个方差成分：随机效应方差，即。例如，受试者间方差和残余误差方差，即。例如，受试者内部方差。在许多应用中，惯例是将方差分量报告为变化系数。受试者内部和受试者之间的变异系数是相应方差的平方根除以平均值。本文提出了使用广义枢轴量来计算对象间和对象间变异系数的置信区间的方法。通过两个示例说明了这些方法。在第一个示例中，在生物分析方法验证中评估运行中和运行之间的精度。在第二个示例中 在农业分割样地实验中，可以估算主要样地内部和之间的变异。通过仿真研究了广义置信区间的覆盖范围，结果表明该范围接近标称值。