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From Replications to Revelations: Heteroskedasticity-Robust Inference

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  • Sebastian Kranz

Abstract

Analysing the Stata regression commands from 4,420 reproduction packages of leading economic journals, we find that, among the 40,571 regressions specifying heteroskedasticity-robust standard errors, 98.1% adhere to Stata's default HC1 specification. We then compare several heteroskedasticity-robust inference methods with a large-scale Monte Carlo study based on regressions from 155 reproduction packages. Our results show that t-tests based on HC1 or HC2 with default degrees of freedom exhibit substantial over-rejection. Inference methods with customized degrees of freedom, as proposed by Bell and McCaffrey (2002), Hansen (2024), and a novel approach based on partial leverages, perform best. Additionally, we provide deeper insights into the role of leverages and partial leverages across different inference methods.

Suggested Citation

  • Sebastian Kranz, 2024. "From Replications to Revelations: Heteroskedasticity-Robust Inference," Papers 2411.14763, arXiv.org, revised Dec 2024.
  • Handle: RePEc:arx:papers:2411.14763
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    1. James G. MacKinnon & Morten Ørregaard Nielsen & Matthew D. Webb, 2023. "Leverage, influence, and the jackknife in clustered regression models: Reliable inference using summclust," Stata Journal, StataCorp LLC, vol. 23(4), pages 942-982, December.
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    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software

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