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The Subcluster Wild Bootstrap for Few (Treated) Clusters

James MacKinnon and Matthew Webb

No 16-13, Carleton Economic Papers from Carleton University, Department of Economics

Abstract: Inference based on cluster-robust standard errors is known to fail when the number of clusters is small, and the wild cluster bootstrap fails dramatically when the number of treated clusters is very small. We propose a family of new procedures called the subcluster wild bootstrap. In the case of pure treatment models, where all the observations in each cluster are either treated or not, the new procedures can work astonishingly well. The key requirement is that the sizes of the treated and untreated clusters should be very similar. Unfortunately, the analog of this requirement is not likely to hold for difference-in-differences regressions. Our theoretical results are supported by extensive simulations and an empirical example.

Keywords: CRVE; grouped data; clustered data; wild bootstrap; wild cluster bootstrap subclustering; treatment model; difference in differences; robust inference (search for similar items in EconPapers)
JEL-codes: C15 C21 C23 (search for similar items in EconPapers)
Pages: 26 pages
Date: 2016-09-02
New Economics Papers: this item is included in nep-sog
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Citations: View citations in EconPapers (1)

Published: Carleton Economic Papers

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