Multiple comparisons to both a negative and a positive control
Article first published online: 10 JAN 2012
Copyright © 2012 John Wiley & Sons, Ltd.
Volume 11, Issue 1, pages 74–81, January/February 2012
How to Cite
Hasler, M. (2012), Multiple comparisons to both a negative and a positive control. Pharmaceut. Statist., 11: 74–81. doi: 10.1002/pst.503
- Issue published online: 29 JAN 2012
- Article first published online: 10 JAN 2012
- Manuscript Accepted: 18 JUN 2011
- Manuscript Revised: 6 MAY 2011
- Manuscript Received: 19 NOV 2010
- simultaneous testing;
- three-arm trial;
- Fieller's confidence interval;
- optimal allocation
This paper addresses multiple comparisons in the presence of both a negative and a positive control. The methodology of the three-arm trial is extended to the case of many experimental treatment arms or different doses of a compound. In contrast to the classic three-arm trial, the focus is on the family-wise error type I. Normally distributed data with either homogeneous or heterogeneous group variances are considered. Explicit criteria for an optimal allocation are proposed. Depending on the pattern of heterogeneity, remarkably unbalanced designs are power-optimal. As an example, the method will be applied to a toxicological experiment. Copyright © 2012 John Wiley & Sons, Ltd.