Relations among three parametric multiple testing methods for correlated tests

Abstract

Multiple endpoints in clinical trials are usually correlated. To control the family-wise type I error rate, both Huque and Alosh's flexible fixed-sequence (FFS) testing method and Li and Mehrotra's adaptive α allocation approach (4A) have taken into account correlations among endpoints. I suggested a weighted multiple testing correction (WMTC) for correlated tests and compared it with FFS. However, the relationship between the 4A method and the FFS method or the relationship between the 4A method and the WMTC method has not been studied. In this paper, simulations are conducted to investigate these relationships. Tentative guidelines to help choosing an appropriate method are provided.

Keywords:

• Bonferroni correction
• fixed-sequence
• correlated endpoints
• multivariate normal distribution
• weighted multiple testing correction

Acknowledgements

The author thanks the editor and the referee for their insightful and constructive comments that have greatly improved this paper. This project was partially supported by the National Center for Research Resources and the National Center for Advancing Translational Sciences, National Institutes of Health, through Grant 8 UL1 TR000077-04. The content is solely the responsibility of the authors and does not necessarily represent the official views of the NIH.