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A Proposed Hybrid Effect Size Plus p-Value Criterion. A Comment on Goodman et al. (The American Statistician, 2019)

Author

Listed:
  • Pütz, Peter
  • Kramer-Sunderbrink, Arne
  • Dreher, Robin Tim
  • Hoffmann, Leona
  • Werner, Robin

Abstract

In a recent simulation study, Goodman et al. (2019) compare several methods with regard to their type I and type II error rates when considering a thick null hypothesis that includes all values that are practically equivalent to the point null hypothesis. They propose a hybrid decision criterion only declaring a result "significant" if both a small p-value and a sufficiently large effect size are obtained. We successfully verify the results using our own software code in R and discuss an additional decision method that is tailored to maintain a pre-defined false positive rate. We confirm that the hybrid decision criterion has comparably low error rates in checkable settings but point out that the false discovery rate cannot be easily controlled by the researcher. Our analyses are readily accessible and customizable on github.com/drehero/goodman-replication.

Suggested Citation

  • Pütz, Peter & Kramer-Sunderbrink, Arne & Dreher, Robin Tim & Hoffmann, Leona & Werner, Robin, 2022. "A Proposed Hybrid Effect Size Plus p-Value Criterion. A Comment on Goodman et al. (The American Statistician, 2019)," Journal of Comments and Replications in Economics (JCRE), ZBW - Leibniz Information Centre for Economics, vol. 1(2022-4), pages 1-15.
    • Handle: RePEc:zbw:jcreco:267164
    DOI: 10.18718/81781.26
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    References listed on IDEAS

    as
    1. Sander Greenland, 2019. "Valid P-Values Behave Exactly as They Should: Some Misleading Criticisms of P-Values and Their Resolution With S-Values," The American Statistician, Taylor & Francis Journals, vol. 73(S1), pages 106-114, March.
    2. Rebecca A. Betensky, 2019. "The p-Value Requires Context, Not a Threshold," The American Statistician, Taylor & Francis Journals, vol. 73(S1), pages 115-117, March.
    3. Jeffrey D. Blume & Robert A. Greevy & Valerie F. Welty & Jeffrey R. Smith & William D. Dupont, 2019. "An Introduction to Second-Generation p-Values," The American Statistician, Taylor & Francis Journals, vol. 73(S1), pages 157-167, March.
    4. William M. Goodman & Susan E. Spruill & Eugene Komaroff, 2019. "A Proposed Hybrid Effect Size Plus p-Value Criterion: Empirical Evidence Supporting its Use," The American Statistician, Taylor & Francis Journals, vol. 73(S1), pages 168-185, March.
    5. Ronald L. Wasserstein & Allen L. Schirm & Nicole A. Lazar, 2019. "Moving to a World Beyond “p," The American Statistician, Taylor & Francis Journals, vol. 73(S1), pages 1-19, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    NHST; Intervall null hypothesis; Minimum effect size plus p-value criterion; Thick t-test; Statistical evidence; Type I error rate; False discovery rate;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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