This corrigendum addresses errors and limitations discovered after the publication of Esarey and Sumner's paper on interaction models.
Correction Overview:
The authors recognized significant issues with their previous work, particularly concerning the overconfidence of the Brambor et al. procedure for separately testing multiple hypotheses.
- The original paper correctly identified this limitation.
- This corrigendum details these errors and introduces a new robust procedure to address them.
Understanding the Problem:
The authors uncovered these issues while developing methods for another unrelated paper, highlighting potential pitfalls in applying established procedures.
- The Brambor et al. procedure may be overly optimistic when testing hypotheses individually.
- Its application is appropriate but limited when testing multiple hypotheses simultaneously.
The Solution:
This update provides a comprehensive description of the limitations related to the Benjamini and Hochberg method for separate hypothesis testing (which was presented in their paper).
- The authors suggest a procedure on pp. 1161–1163 based on this methodology.
- This corrigendum introduces an improved, more robust approach developed during this process.
Revised InteractionTest Software:
The article includes updated methods designed to better handle false positives in interaction model analyses.
