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arXiv 2502.19620econ.EM
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三重差分设计中的异质性处理效应

Triple Difference Designs with Heterogeneous Treatment Effects

Haverford College(哈弗福德学院)

Laura Caron

AI总结:

本文针对三重差分设计中的处理效应异质性,提出受控差异参数及双重稳健估计量,实现亚组间因果比较。

摘要:

三重差分设计在实证经济学中日益流行。三重差分设计的优势在于,在治疗组内,它允许人群中另一个可能受治疗影响较小的亚组作为感兴趣亚组的对照组。虽然关于双重差分的研究文献已经讨论了治疗组与对照组之间或随时间变化的处理效应异质性,但对三重差分设计以及该背景下处理效应异质性的影响却关注相对较少。在本文中,我表明,在常见的三重差分假设下所识别的参数,当亚组之间可能存在潜在的(未观测到的)处理效应差异时,不允许对亚组之间的差异进行因果解释。我提出了一个新的感兴趣参数,即受治疗者平均处理效应的受控差异,该参数允许亚组之间的因果比较。然后,我为该参数提出了识别假设和双重稳健估计量。我使用模拟研究来突出这些估计量的良好有限样本性质,并展示两个参数之间的差异。一项实证应用表明了在实际应用中考虑处理效应异质性的重要性。

英文摘要:

Triple difference designs have become increasingly popular in empirical economics. The advantage of a triple difference design is that, within a treatment group, it allows another subgroup of the population -- potentially less impacted by the treatment -- to serve as a comparison for the subgroup of interest. While literature on difference-in-differences has discussed heterogeneity in treatment effects between treated and control groups or over time, relatively little attention has been given to triple difference designs and the implications of heterogeneity in treatment effects in this setting. In this paper, I show that the parameter identified under common triple difference assumptions does not allow for causal interpretation of differences between subgroups when subgroups may differ in their underlying (unobserved) treatment effects. I propose a new parameter of interest, the controlled difference in average treatment effects on the treated, which allows for causal comparisons between subgroups. I then propose identification assumptions and doubly-robust estimators for this parameter. I use a simulation study to highlight the desirable finite-sample properties of these estimators, as well as to show the difference between the two parameters. An empirical application shows the importance of considering treatment effect heterogeneity in practical applications.

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。

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