Meta-analysis is routinely performed in many scientific disciplines. This analysis is attractive since discoveries are possible even when all the individual studies are underpowered. However, the meta-analytic discoveries may be entirely driven by signal in a single study, and thus non-replicable. Although the great majority of meta-analyses carried out to date do not infer on the replicability of their findings, it is possible to do so. We provide a selective overview of analyses that can be carried out towards establishing replicability of the scientific findings. We describe methods for the setting where a single outcome is examined in multiple studies (as is common in systematic reviews of medical interventions), as well as for the setting where multiple studies each examine multiple features (as in genomics applications). We also discuss some of the current shortcomings and future directions.

翻译：荟萃分析在许多科学学科中常规使用。该分析具有吸引力，因为即使所有单项研究均统计功效不足，仍可能有所发现。然而，荟萃分析的发现可能完全由单项研究中的信号驱动，从而不可复制。尽管迄今绝大多数荟萃分析并未对其发现的可复制性进行推断，但这一目标是可以实现的。我们选择性概述了可用于建立科学发现可复制性的分析方法。本文描述了针对单一结局在多项研究中被检验的情况（常见于医疗干预的系统综述）以及多项研究各自检验多个特征的情况（常见于基因组学应用）的方法。我们还讨论了当前的一些不足和未来发展方向。