Abstract
The problem of multiple testing of each of several treatment mean vectors versus a control mean vector is considered. Both one-sided and two-sided alternatives are treated. It is shown that typical choices for marginal test procedures will lead to step-down procedures that do not have convex acceptance regions. This lack of convexity has both intuitive and theoretical disadvantages. The only exception being linear tests in the one-sided problem. Although such a procedure is atypical, it not only has convex acceptance regions but is such that critical values are obtainable so that the overall procedure can control FDR or FWER.For both one-sided and two-sided alternatives, two other stepwise multiple testing methods are presented that do have convex acceptance regions.
| Original language | American English |
|---|---|
| Pages (from-to) | 1-11 |
| Number of pages | 11 |
| Journal | Journal of Multivariate Analysis |
| Volume | 143 |
| DOIs | |
| State | Published - Jan 1 2016 |
ASJC Scopus subject areas
- Statistics and Probability
- Numerical Analysis
- Statistics, Probability and Uncertainty
Keywords
- Co-primary endpoints
- Convex acceptance region
- False discovery rate
- Familywise error rate
- Positive regression dependence
- Step-down procedure