Demetrashvili Nino, Wit Ernst C, van den Heuvel Edwin R
Department of Epidemiology, University Medical Center Groningen, University of Groningen, RB Groningen, The Netherlands Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, AK Groningen, The Netherlands
Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, AK Groningen, The Netherlands.
Stat Methods Med Res. 2016 Oct;25(5):2359-2376. doi: 10.1177/0962280214522787. Epub 2014 Feb 17.
Confidence intervals for intraclass correlation coefficients in agreement studies with continuous outcomes are model-specific and no generic approach exists. This paper provides two generic approaches for intraclass correlation coefficients of the form [Formula: see text] The first approach uses Satterthwaite's approximation and an F-distribution. The second approach uses the first and second moments of the intraclass correlation coefficient estimate in combination with a Beta distribution. Both approaches are based on the restricted maximum likelihood estimates for the variance components involved. Simulation studies are conducted to examine the coverage probabilities of the confidence intervals for agreement studies with a mix of small sample sizes. Two different three-way variance components models and balanced and unbalanced one-way random effects models are investigated. The proposed approaches are compared with other approaches developed for these specific models. The approach based on the F-distribution provides acceptable coverage probabilities, but the approach based on the Beta distribution results in accurate coverages for most settings in both balanced and unbalanced designs. A real agreement study is provided to illustrate the approaches.
在具有连续结果的一致性研究中，组内相关系数的置信区间是特定于模型的，不存在通用方法。本文针对形式为[公式：见正文]的组内相关系数提供了两种通用方法。第一种方法使用萨特思韦特近似法和F分布。第二种方法将组内相关系数估计的一阶矩和二阶矩与贝塔分布结合使用。两种方法均基于所涉及方差分量的限制最大似然估计。进行模拟研究以检验在混合小样本量的一致性研究中置信区间的覆盖概率。研究了两种不同的三向方差分量模型以及平衡和不平衡的单向随机效应模型。将所提出的方法与针对这些特定模型开发的其他方法进行比较。基于F分布的方法提供了可接受的覆盖概率，但基于贝塔分布的方法在平衡和不平衡设计的大多数情况下都能得到准确的覆盖。提供了一项实际的一致性研究来说明这些方法。
