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American Economic Review Vol. 112 No. 10 2022

Valid t-ratio Inference for IV

David S. Lee1; Justin McCrary2; Marcelo J. Moreira3; Jack R. Porter4

1 Princeton University and NBER (email: ) · 2 Columbia University and NBER (email: ) · 3 FGV EPGE (email: ) · 4 University of Wisconsin (email: )

Abstract

In the single-IV model, researchers commonly rely on t-ratio-based inference, even though the literature has quantified its potentially severe large-sample distortions. Building on Stock and Yogo (2005), we introduce the tF critical value function, leading to a standard error adjustment that is a smooth function of the first-stage F-statistic. For one-quarter of specifications in 61 AER papers, corrected standard errors are at least 49 and 136 percent larger than conventional 2SLS standard errors at the 5 percent and 1 percent significance levels, respectively. tF confidence intervals have shorter expected length than those of Anderson and Rubin (1949), whenever both are bounded.

DOI
10.1257/aer.20211063
Volume
112
Issue
10
Pages
3260-3290
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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