On optimality of stepdown and stepup multiple test procedures
- Author(s): Lehmann, E L;
- Romano, J P;
- Shaffer, Juliet P
- et al.
Consider the multiple testing problem of testing k null hypotheses, where the unknown family of distributions is assumed to satisfy a certain monotonicity assumption. Attention is restricted to procedures that control the familywise error rate in the strong sense and which satisfy a monotonicity condition. Under these assumptions, we prove certain maximin optimality results for some well-known stepdown and stepup procedures.