Robust Confidence Intervals for Average Treatment Effects Under Limited Overlap
重叠不足下平均处理效应的稳健置信区间AI 解读 ↓
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Robust Confidence Intervals for Average Treatment Effects under Limited Overlap *Estimators of average treatment effects under unconfounded treatment assignment are known to become rather imprecise if there is limited overlap in the covariate distributions between the treatment groups.But such limited overlap can also have a detrimental effect on inference, and lead for example to highly distorted confidence intervals.This paper shows that this is because the coverage error of traditional confidence intervals is not so much driven by the total sample size, but by the number of observations in the areas of limited overlap.At least some of these "local sample sizes" are often very small in applications, up to the point where distributional approximation derived from the Central Limit Theorem become unreliable.Building on this observation, the paper proposes two new robust confidence intervals that are extensions of classical approaches to small sample inference.It shows that these approaches are easy to implement, and have superior theoretical and practical properties relative to standard methods in empirically relevant settings.They should thus be useful for practitioners.
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We develop a semiparametric continuous time inferential framework for testing cumulative treatment effects, including both immediate and carryover effects. The latent state process is modeled by an ordinary differential equation (ODE) whose drift depends on state and treatment, while the observed data are noisy measurements of this latent state at irregular, multi resolution time points. We define the average treatment effect (ATE) as the difference of expected cumulative…
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观测因果推断中不完全识别下的相对偏差
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组间不平衡下的风险异质性稳健推断
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