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AI 根据所提供的论文材料归类:摘要研究配对随机实验中平均处理效应的协变量调整与推断精度。

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关注这篇论文的作者
Yuehao Bai
Liang Jiang
Joseph P. Romano
Azeem M. Shaikh
Yichong Zhang

配对随机实验中的协变量调整

研究问题
研究按基线协变量配对并在每对内随机分配处理的实验中,如何利用额外基线协变量提高平均处理效应估计的精度。
方法与思路
作者基于双重稳健矩条件分析有限维线性调整、配对固定效应和两种 LASSO 高维调整,并结合模拟及实验数据再分析。
材料陈述的贡献
摘要称普通线性调整未必改善精度,处理交互也不改变精度;配对固定效应可确保增益,两种 LASSO 调整在所述条件下也有改进。
阅读关注点
应核对精度比较采用的渐近框架、配对固定效应的最优性范围,以及 LASSO 调整获得精度增益和非参数最优性所需条件。
阅读边界
这是 arXiv 预印本,同行评审及期刊接收均未核实;摘要未列明正则条件与有限样本结果,所称最优性不能脱离调整类别解释。

原文摘要

This paper studies inference on the average treatment effect in experiments in which treatment status is determined according to "matched pairs" and it is additionally desired to adjust for observed, baseline covariates to gain further precision. By a "matched pairs" design, we mean that units are sampled i.i.d. from the population of interest, paired according to observed, baseline covariates and finally, within each pair, one unit is selected at random for treatment. Importantly, we presume that not all observed, baseline covariates are used in determining treatment assignment. We study a broad class of estimators based on a "doubly robust" moment condition that permits us to study estimators with both finite-dimensional and high-dimensional forms of covariate adjustment. We find that estimators with finite-dimensional, linear adjustments need not lead to improvements in precision relative to the unadjusted difference-in-means estimator. This phenomenon persists even if the adjustments are interacted with treatment; in fact, doing so leads to no changes in precision. However, gains in precision can be ensured by including fixed effects for each of the pairs. Indeed, we show that this adjustment is the "optimal" finite-dimensional, linear adjustment. We additionally study two estimators with high-dimensional forms of covariate adjustment based on the LASSO. For each such estimator, we show that it leads to improvements in precision relative to the unadjusted difference-in-means estimator and also provide conditions under which it leads to the "optimal" nonparametric, covariate adjustment. A simulation study confirms the practical relevance of our theoretical analysis, and the methods are employed to reanalyze data from an experiment using a "matched pairs" design to study the effect of macroinsurance on microenterprise.

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