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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.
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.
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.
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