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As the most important tool to provide high-level evidence-based medicine, researchers can statistically summarize and combine data from multiple studies by conducting meta-analysis. In meta-analysis, mean differences are frequently used…

统计方法学 · 统计学 2018-01-30 Dehui Luo , Xiang Wan , Jiming Liu , Tiejun Tong

When the individual studies assembled for a meta-analysis report means ($\mu_C$, $\mu_T$) for their treatment (T) and control (C) arms, but those data are on different scales or come from different instruments, the customary measure of…

统计方法学 · 统计学 2023-04-18 Elena Kulinskaya , David C. Hoaglin

The standardized mean difference (SMD) is a widely used measure of effect size, particularly common in psychology, clinical trials, and meta-analysis involving continuous outcomes. Traditionally, under the equal variance assumption, the SMD…

统计方法学 · 统计学 2025-06-05 Jiandong Shi , Xiaochen Zhang , Lu Lin , Hiu Yee Kwan , Tiejun Tong

Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report…

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

统计方法学 · 统计学 2018-02-16 Ioannis Kosmidis , Annamaria Guolo , Cristiano Varin

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

应用统计 · 统计学 2018-05-25 Sophia Kyriakou , Ioannis Kosmidis , Nicola Sartori

We consider a three-level meta-analysis of standardized mean differences. The standard method of estimation uses inverse-variance weights and REML/PL estimation of variance components for the random effects. We introduce new moment-based…

统计方法学 · 统计学 2024-11-05 Elena Kulinskaya , David C. Hoaglin

Meta-analysis employs statistical techniques to synthesize the results of individual studies, providing an estimate of the overall effect size for a specific outcome of interest. The direction and magnitude of this estimate, along with its…

计量经济学 · 经济学 2025-03-06 Amin Haghnejad , Mahboobeh Farahati

Methods for random-effects meta-analysis require an estimate of the between-study variance, $\tau^2$. The performance of estimators of $\tau^2$ (measured by bias and coverage) affects their usefulness in assessing heterogeneity of…

统计方法学 · 统计学 2019-03-05 Ilyas Bakbergenuly , David C. Hoaglin , Elena Kulinskaya

In many biological applications, the primary objective of study is to quantify the magnitude of treatment effect between two groups. Cohens'd or strictly standardized mean difference (SSMD) can be used to measure effect size however, it is…

应用统计 · 统计学 2020-11-18 Seongyong Park , Shujaat Khan , Muhammad Moinuddin , Ubaid M. Al-Saggaf

Meta-analysis, by synthesizing effect estimates from multiple studies conducted in diverse settings, stands at the top of the evidence hierarchy in clinical research. Yet, conventional approaches based on fixed- or random-effects models…

In classical study designs, the aim is often to learn about the effects of a treatment or intervention on a single outcome; in many modern studies, however, data on multiple outcomes are collected and it is of interest to explore effects on…

统计方法学 · 统计学 2017-06-15 Edward H. Kennedy , Shreya Kangovi , Nandita Mitra

Multivariate meta-analysis is gaining prominence in evidence synthesis research because it enables simultaneous synthesis of multiple correlated outcome data, and random-effects models have generally been used for addressing between-studies…

统计方法学 · 统计学 2021-07-14 Hisashi Noma , Kengo Nagashima , Toshi A. Furukawa

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

统计方法学 · 统计学 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

Methods for random-effects meta-analysis require an estimate of the between-study variance, $\tau^2$. The performance of estimators of $\tau^2$ (measured by bias and coverage) affects their usefulness in assessing heterogeneity of…

统计方法学 · 统计学 2019-04-04 Ilyas Bakbergenuly , David C. Hoaglin , Elena Kulinskaya

In a meta-analysis, it is important to specify a model that adequately describes the effect-size distribution of the underlying population of studies. The conventional normal fixed-effect and normal random-effects models assume a normal…

统计方法学 · 统计学 2013-10-21 George Karabatsos , Elizabeth Talbott , Stephen G. Walker

We consider the problem of meta-analyzing two-group studies that report the median of the outcome. Often, these studies are excluded from meta-analysis because there are no well-established statistical methods to pool the difference of…

统计方法学 · 统计学 2022-06-22 Sean McGrath , Hojoon Sohn , Russell Steele , Andrea Benedetti

Quantifying the heterogeneity is an important issue in meta-analysis, and among the existing measures, the $I^2$ statistic is most commonly used. In this paper, we first illustrate with a simple example that the $I^2$ statistic is heavily…

统计方法学 · 统计学 2025-06-10 Ke Yang , Enxuan Lin , Wangli Xu , Liping Zhu , Tiejun Tong

An aggregate data meta-analysis is a statistical method that pools the summary statistics of several selected studies to estimate the outcome of interest. When considering a continuous outcome, typically each study must report the same…

统计方法学 · 统计学 2022-06-22 Sean McGrath , XiaoFei Zhao , Zhi Zhen Qin , Russell Steele , Andrea Benedetti

Ideally, a meta-analysis will summarize data from several unbiased studies. Here we consider the less than ideal situation in which contributing studies may be compromised by measurement error. Measurement error affects every study design,…

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