Quantile regression with group-level treatments
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To study distributional effects of group level treatments, Chetverikov et al. (2016) proposed a grouped instrumental variables quantile regression estimator, a quantile extension of the Hausman and Taylor’s 1981 instrumental variables estimator for panel data. However, their approach only allows for heterogenous distributional effects of group-level treatments that correspond to individual-level unobserved characteristics, but not group-level unobserved characteristics. In this article, we propose a quantile regression model that allows for heterogenous distributional effects of group-level treatments associated with both individual-level and group-level unobserved characteristics. We propose two-step quantile regression and instrumental variables quantile regression estimators, depending on whether the group-level treatments are correlated with the group-level unobserved characteristics. Large sample properties are presented and simulation results indicate our estimators perform well in finite samples. We apply our method to study the impact of Chinese import competition on the U.S. local wage distribution, and uncover both significant individual-level and group-level heterogeneity of the group treatment effects.
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多重实验的潜力:识别潜在结果的联合分布
Abstract Typical causal effects are defined based on the marginal distribution of potential outcomes. However, many real-world applications require causal estimands involving the joint distribution of potential outcomes to enable nuanced treatment evaluation and selection. In this article, we propose a novel framework for identifying and estimating the joint distribution of potential outcomes using multiple experimental datasets. We introduce the assumption of…