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arXiv 2303.06332stat.ME
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处理效应部分识别的差分效应方法

A Differential Effect Approach to Partial Identification of Treatment Effects

Kan Chen, Jeffrey Zhang, Bingkai Wang, Dylan S. Small

AI总结:

本文提出差分效应方法,在未测量混杂下对平均及异质性处理效应进行部分识别,开发半参数框架估计界并进行两阶段推断,经模拟和吸烟对血镉影响的案例验证。

摘要:

我们考虑在存在未测量混杂因素的情况下,对平均处理效应以及以可观测协变量为条件的异质性处理效应进行识别与推断。由于在没有强假设的情况下无法实现这些处理效应的点识别,我们通过利用差分效应来获得这些处理效应的界,差分效应是一种允许使用第二种处理来学习第一种处理效应的工具。差分效应是使用一种处理替代另一种处理所产生的效应。我们提供了在何种条件下差分处理效应可用于点识别或部分识别处理效应的条件。在这些条件下,我们开发了一个灵活且易于实现的半参数框架来估计界,并利用两阶段方法对感兴趣效应进行统计推断。所提出的方法通过一项模拟研究和一项案例研究进行了检验,该案例研究利用国家健康与营养调查数据考察吸烟对血镉水平的影响。

英文摘要:

We consider identification and inference for the average treatment effect and heterogeneous treatment effect conditional on observable covariates in the presence of unmeasured confounding. Since point identification of these treatment effects is not achievable without strong assumptions, we obtain bounds on these treatment effects by leveraging differential effects, a tool that allows for using a second treatment to learn the effect of the first treatment. The differential effect is the effect of using one treatment in lieu of the other. We provide conditions under which differential treatment effects can be used to point identify or partially identify treatment effects. Under these conditions, we develop a flexible and easy-to-implement semi-parametric framework to estimate bounds and leverage a two-stage approach to conduct statistical inference on effects of interest. The proposed method is examined through a simulation study and a case study that investigates the effect of smoking on the blood level of cadmium using the National Health and Nutrition Examination Survey.

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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