Weak identification with many instruments

Anna Mikusheva and Liyang Sun

The Econometrics Journal, 2024, vol. 27, issue 2, Ci-C28

Abstract: SummaryLinear instrumental variable regressions are widely used to estimate causal effects. Many instruments arise from the use of ‘technical’ instruments and more recently from the empirical strategy of ‘judge design’. This paper surveys and summarises ideas from recent literature on estimation and statistical inferences with many instruments for a single endogenous regressor. We discuss how to assess the strength of the instruments and how to conduct weak identification robust inference under heteroskedasticity. We establish new results for a jack-knifed version of the Lagrange Multiplier test statistic. Furthermore, we extend the weak identification robust tests to settings with both many exogenous regressors and many instruments. We propose a test that properly partials out many exogenous regressors while preserving the re-centring property of the jack-knife. The proposed tests have correct size and good power properties.

Keywords: Instrumental variable regressions; many instruments; weak instruments (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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