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A modified Williams-type approach is proposed, which controls the family-wise error rate globally over both correlated endpoints and over dose comparisons. This order-restricted procedure is formulated for ratio-to-control comparisons, where the comparison of difference-to-control is included directly. Endpoint-specific variances are allowed, and even a modification for dose-group-specific variance heterogeneity is proposed. Therefore, this approach can be used simply for evaluation of real data by means of the R package SimComp. Both multiplicity-adjusted p-values and simultaneous confidence intervals are provided, whereas confidence intervals are clearly recommended to allow the interpretation for clinical relevance.

Acknowledgment

The authors thank Dr. Frank Schaarschmidt for his helpful comments. Some of the work of the second author was performed during a sabbatical stay at TSRI, La Jolla. The authors would like to thank the Group Leader, Dr. Nickolas Schork, for generous local support. Also thanks to the Associate Editor and the reviewers for critical discussions.

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