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Weak identification with many instruments

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  • Anna Mikusheva
  • Liyang Sun

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.

Suggested Citation

  • Anna Mikusheva & Liyang Sun, 2024. "Weak identification with many instruments," The Econometrics Journal, Royal Economic Society, vol. 27(2), pages -28.
    • Handle: RePEc:oup:emjrnl:v:27:y:2024:i:2:p:ci-c28.
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    File URL: http://hdl.handle.net/10.1093/ectj/utae007
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    Cited by:

    1. Sylvia Klosin, 2024. "Dynamic Biases of Static Panel Data Estimators," Papers 2410.16112, arXiv.org.

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