Learning about Treatment Effects with Prior Studies: A Bayesian Model Averaging Approach
利用既有研究学习处理效应:贝叶斯模型平均方法
We establish concentration rates for estimation of treatment effects in experiments that incorporate prior sources of information -- such as past pilots, related studies, or expert assessments -- whose external validity is uncertain. Each source is modeled as a Gaussian prior with its own mean and precision, and sources are combined using Bayesian model averaging (BMA), allowing data from the new experiment to update posterior weights. To capture empirically relevant…