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On the consistency of bootstrap for matching estimators
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abstract
In a landmark paper, Abadie and Imbens (2008) showed that the naive bootstrap is inconsistent when applied to nearest neighbor matching estimators of the average treatment effect with a fixed number of matches. Since then, this finding has inspired numerous efforts to address the inconsistency issue, typically by employing alternative bootstrap methods. In contrast, this paper shows that the naive bootstrap is provably consistent for the original matching estimator, provided that the number of matches, $M$, diverges. The bootstrap inconsistency identified by Abadie and Imbens (2008) thus arises solely from the use of a fixed $M$.
Forward citations
Cited by 2 Pith papers
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Gaussian and Bootstrap Approximation for Matching-based Average Treatment Effect Estimators
Matching-based ATE estimators have explicit non-asymptotic Gaussian and multiplier-bootstrap approximation bounds with rates in sample size, number of matches, and treatment balance.
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