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Valid t-ratio Inference for IV

Author

Listed:
  • David S. Lee

    (Princeton University)

  • Justin McCrary

    (Columbia University)

  • Marcelo J. Moreira

    (Getulio Vargas Foundation)

  • Jack R. Porter

    (University of Wisconsin-Madison)

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 the approach for correcting inference of Stock and Yogo (2005), we introduce the tF critical value function, leading to a minimized standard error adjustment factor that is a smooth function of the first-stage F-statistic. Applying the correction to a sample of 61 AER papers leads to a 25 percent increase in standard errors, on average. tF confidence intervals have shorter expected length than those of Anderson and Rubin (1949), whenever both are bounded intervals.

Suggested Citation

  • David S. Lee & Justin McCrary & Marcelo J. Moreira & Jack R. Porter, 2021. "Valid t-ratio Inference for IV," Working Papers 2021-69, Princeton University. Economics Department..
  • Handle: RePEc:pri:econom:2021-69
    as

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    File URL: https://www.princeton.edu/~davidlee/wp/w29124.pdf
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Econometrics; Instrumental Variables;

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation

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