arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2102.10003stat.ME
收藏

多水平回归和后分层的处理效应估计

Treatment effect estimation with Multilevel Regression and Poststratification

Yuxiang Gao, Lauren Kennedy, Daniel Simpson

摘要:

多层回归和后分层(MRP)是一种灵活的建模技术,已被用于广泛的小区域估计问题。传统上,MRP研究一直专注于非因果设置,其中使用非代表性样本估计单个群体值是主要兴趣。在这份手稿中,MRP风格的估计将在实验因果推断设置进行评估。我们采用分层整群抽样设计模拟了一个大规模随机对照试验,并将传统的和非参数的处理效应估计方法与MRP方法进行了比较。使用MRP型估计量,即使存在处理效应异质性,对人群中面积小至1.3 $\%$的处理效应估计值的偏倚和方差也低于标准因果推断方法。我们的模拟研究的设计还需要我们建立在MRP的变体,允许非人口普查协变量被纳入后分层。

英文摘要:

Multilevel regression and poststratification (MRP) is a flexible modeling technique that has been used in a broad range of small-area estimation problems. Traditionally, MRP studies have been focused on non-causal settings, where estimating a single population value using a nonrepresentative sample was of primary interest. In this manuscript, MRP-style estimators will be evaluated in an experimental causal inference setting. We simulate a large-scale randomized control trial with a stratified cluster sampling design, and compare traditional and nonparametric treatment effect estimation methods with MRP methodology. Using MRP-style estimators, treatment effect estimates for areas as small as 1.3$\%$ of the population have lower bias and variance than standard causal inference methods, even in the presence of treatment effect heterogeneity. The design of our simulation studies also requires us to build upon a MRP variant that allows for non-census covariates to be incorporated into poststratification.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑