Semiparametric estimation of average treatment effects in observational studies

IF 2.1 4区 数学 Q3 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Jun Wang, Yujiao Guo
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引用次数: 0

Abstract

We propose a semiparametric method to estimate average treatment effects in observational studies based on the assumption of unconfoundedness. Assume that the propensity score model and outcome model are a general single index model, which are estimated by the kernel method and the unknown index parameter is estimated via linearized maximum rank correlation method. The proposed estimator is computationally tractable, allows for large dimension covariates and not involves the approximation of link functions. We showed that the proposed estimator is consistent and asymptotically normally distributed. In general, the proposed estimator is superior to existing methods when the model is incorrectly specified. We also provide an empirical analysis on the average treatment effect and average treatment effect on the treated of 401(k) eligibility on net financial assets.
观察性研究中平均治疗效果的半参数估计
我们提出了一种基于无边界假设的半参数方法来估计观察性研究中的平均治疗效果。假设倾向评分模型和结果模型是一般的单指标模型,采用核方法估计,未知指标参数采用线性化最大秩相关方法估计。所提出的估计方法计算简便,允许使用大维度协变量,且不涉及链接函数的近似。我们的研究表明,所提出的估计方法具有一致性和渐近正态分布。一般来说,当模型指定不正确时,所提出的估计方法优于现有方法。我们还对 401(k)资格对净金融资产的平均处理效应和平均处理效应进行了实证分析。
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来源期刊
Statistical Analysis and Data Mining
Statistical Analysis and Data Mining COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCEC-COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
CiteScore
3.20
自引率
7.70%
发文量
43
期刊介绍: Statistical Analysis and Data Mining addresses the broad area of data analysis, including statistical approaches, machine learning, data mining, and applications. Topics include statistical and computational approaches for analyzing massive and complex datasets, novel statistical and/or machine learning methods and theory, and state-of-the-art applications with high impact. Of special interest are articles that describe innovative analytical techniques, and discuss their application to real problems, in such a way that they are accessible and beneficial to domain experts across science, engineering, and commerce. The focus of the journal is on papers which satisfy one or more of the following criteria: Solve data analysis problems associated with massive, complex datasets Develop innovative statistical approaches, machine learning algorithms, or methods integrating ideas across disciplines, e.g., statistics, computer science, electrical engineering, operation research. Formulate and solve high-impact real-world problems which challenge existing paradigms via new statistical and/or computational models Provide survey to prominent research topics.
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