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Inference for Losers

Author

Listed:
  • Isaiah Andrews
  • Dillon Bowen
  • Toru Kitagawa
  • Adam McCloskey

Abstract

Researchers frequently report league tables ranking units (neighborhoods or firms, for instance) based on estimated coefficients. Since the rankings are formed based on estimates, however, the coefficients reported in league tables suffer from selection bias, with estimates for highly ranked units biased upward and those for low-ranked units biased downward. Further, conventional confidence intervals can undercover. This paper introduces corrected estimators and confidence intervals that address these biases, ensuring that estimates and confidence intervals reported for each position in a league table are median unbiased and have correct coverage, respectively.

Suggested Citation

  • Isaiah Andrews & Dillon Bowen & Toru Kitagawa & Adam McCloskey, 2022. "Inference for Losers," AEA Papers and Proceedings, American Economic Association, vol. 112, pages 635-642, May.
    • Handle: RePEc:aea:apandp:v:112:y:2022:p:635-42
    DOI: 10.1257/pandp.20221065
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    Cited by:

    1. Wei, Waverly & Zhou, Yuqing & Zheng, Zeyu & Wang, Jingshen, 2024. "Inference on the best policies with many covariates," Journal of Econometrics, Elsevier, vol. 239(2).
    2. Jelle J Goeman & Aldo Solari, 2024. "On selection and conditioning in multiple testing and selective inference," Biometrika, Biometrika Trust, vol. 111(2), pages 393-416.

    More about this item

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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