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Simulations for estimation of heterogeneity variance $τ^2$ in constant and inverse variance weights meta-analysis of log-odds-ratios
arXiv - STAT - Methodology Pub Date : 2022-08-01 , DOI: arxiv-2208.00707
Elena Kulinskaya, David C. Hoaglin

A number of popular estimators of the between-study variance, $\tau^2$, are based on the Cochran's $Q$ statistic for testing heterogeneity in meta analysis. We introduce new point and interval estimators of $\tau^2$ for log-odds-ratio. These include new DerSimonian-Kacker-type moment estimators based on the first moment of $Q_F$, the $Q$ statistic with effective-sample-size weights, and novel median-unbiased estimators. We study, by simulation, bias and coverage of these new estimators of $\tau^2$ and, for comparative purposes, bias and coverage of a number of well-known estimators based on the $Q$ statistic with inverse-variance weights, $Q_{IV}$, such as the Mandel-Paule, DerSimonian-Laird, and restricted-maximum-likelihood estimators, and an estimator based on the Kulinskaya-Dollinger (2015) improved approximation to $Q_{IV}$.

中文翻译:

对数优势比的恒定和逆方差权重元分析中异质性方差 $τ^2$ 估计的模拟

许多流行的研究间方差估计量 $\tau^2$ 基于 Cochran 的 $Q$ 统计量,用于在元分析中测试异质性。我们为 log-odds-ratio 引入了 $\tau^2$ 的新点和区间估计器。其中包括基于 $Q_F$ 的一阶矩的新 DerSimonian-Kacker 型矩估计器、具有有效样本大小权重的 $Q$ 统计量,以及新颖的中值无偏估计器。我们通过模拟研究了这些新的估计量的偏差和覆盖率,为了比较的目的,我们研究了基于具有逆方差权重的 $Q$ 统计量的一些著名估计量的偏差和覆盖率, $Q_{IV}$,例如 Mandel-Paule、DerSimonian-Laird 和限制最大似然估计器,以及基于 Kulinskaya-Dollinger (2015) 的估计器改进了对 $Q_{IV}$ 的近似。
更新日期:2022-08-02
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