Causal inference with a functional outcome
本文针对二元处理对功能型结果的因果效应，定义功能平均处理效应并开发结果回归估计量，通过同时置信带进行有效推断，并应用于瑞典出生队列研究早期居住地对收入发展的影响。
Abstract This article presents methods to study the causal effect of a binary treatment on a functional outcome with observational data. We define a Functional Average Treatment Effect (FATE) and develop an outcome regression estimator. We show how to obtain valid inference on the FATE using simultaneous confidence bands, which cover the FATE with a given probability over the entire domain. Simulation experiments illustrate how the simultaneous confidence bands take the multiple comparison problem into account. Finally, we use the methods to infer the effect of early adult location on subsequent income development for one Swedish birth cohort.