Confidence Regions and Intervals for Meta-Analysis Model Parameters

This article obtains confidence regions for the heteroscedastic, one-way random effects model’s parameters the heteroscedastic, one-way random effects model. The confidence regions are based on canonical representations of the restricted and profile likelihood functions in terms of independent normal random variables and χ² random variables. These regions provide conservative confidence intervals for the common mean and heterogeneity variance. Mathematical details and the R code are available online as supplementary material.

本文针对异方差单向随机效应模型（one-way random effects model）的参数构建置信区域。此类置信区域的构建基于受限似然函数（restricted likelihood function）与轮廓似然函数（profile likelihood function）借助独立正态随机变量及χ²随机变量的标准表示形式推导而来。该类置信区域可为共同均值与异质性方差提供保守置信区间。详细数学推导过程与R代码可作为补充材料（supplementary material）在线获取。