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arXiv 2004.02525stat.ME
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收缩估计中外部数据权重的界

Bounds for the weight of external data in shrinkage estimation

Christian Röver, Tim Friede

摘要:

元分析框架中的收缩估计可用于促进信息的动态借用。这个框架可以用来根据以前的数据分析一项新的研究,这些数据可能在设计上有所不同(例如,随机对照试验(RCT)和临床登记)。我们展示了如何常见的研究权重出现在效果和收缩估计,以及如何将这些推广到贝叶斯荟萃分析的情况下。接下来,我们开发简单的方法来计算权重的界限,以便可以先验地评估外部证据的贡献。这些考虑因素的说明和讨论使用数值的例子,包括应用程序在治疗克雅氏病和胎儿监护,以防止发生代谢性酸中毒。目标研究对所得估计值的贡献显示为有界。因此,对证据容易被外部数据淹没的担忧在很大程度上是没有根据的。

英文摘要:

Shrinkage estimation in a meta-analysis framework may be used to facilitate dynamical borrowing of information. This framework might be used to analyze a new study in the light of previous data, which might differ in their design (e.g., a randomized controlled trial (RCT) and a clinical registry). We show how the common study weights arise in effect and shrinkage estimation, and how these may be generalized to the case of Bayesian meta-analysis. Next we develop simple ways to compute bounds on the weights, so that the contribution of the external evidence may be assessed a priori. These considerations are illustrated and discussed using numerical examples, including applications in the treatment of Creutzfeldt-Jakob disease and in fetal monitoring to prevent the occurrence of metabolic acidosis. The target study's contribution to the resulting estimate is shown to be bounded below. Therefore, concerns of evidence being easily overwhelmed by external data are largely unwarranted.

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