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Related Experiment Video

Updated: Mar 7, 2026

Rup (RNA-seq Usability Assessment Pipeline) - Quality Control for Bulk RNA-seq Experiments in Eukaryotes
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Directional replicability: When can the factor of two be omitted.

Vera Djordjilović1, Tamar Sofer2,3,4, Jonathan M Dreyfuss5

  • 1Department of Economics, Ca' Foscari University of Venice, Venice, Italy.

Statistics & Probability Letters
|March 6, 2026
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Summary

This study simplifies directional replicability assessment. We found a condition where a common multiple testing correction for p-values can be omitted, streamlining the analysis of consistent research findings.

Keywords:
Composite null hypothesesConcordant replicabilityDirectional replicabilityOrder statisticsPartial conjunction

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Area of Science:

  • Statistics
  • Meta-analysis
  • Scientific reproducibility

Background:

  • Directional replicability assesses if an effect appears consistently across studies.
  • Current methods combine one-sided p-values and apply a multiplicative correction for multiple testing when effect direction is not pre-specified.

Purpose of the Study:

  • To investigate the necessity of the multiplicative correction in directional replicability analysis.
  • To identify conditions under which this correction can be omitted.

Main Methods:

  • Analysis of one-sided p-values from independent studies.
  • Derivation of a sufficient and necessary condition for omitting the multiplicative correction.

Main Results:

  • The multiplicative correction for combining one-sided p-values is not always required.
  • A specific condition has been identified that allows for the safe omission of this correction.

Conclusions:

  • The proposed condition simplifies the assessment of directional replicability.
  • This simplification can lead to more efficient and straightforward analysis of consistent research findings across multiple studies.