Abstract:

1. Introduction
1.1. Multiple testing in microarray data
1.2. Examples of multiple testing settings
1.3. General multiple testing setting
1.4. Multiple testing procedures
1.5. Type I error rates
1.6. Goal
1.7. Overview of the paper
1.8. Quantile-binomial procedure

2. Key concepts and tools
2.1. Model assumptions
2.2. Dirac configurations
2.3. Algorithms
2.4. Adaptive control

3. FDR control

4. k-FWER control

5. FDP control

6. Discussion
6.1. Complexity of the k-FWER step-down approach
6.2. FDR control is not FDP control
6.3. Quantile-binomial procedure and relation to previous work
6.4. Conclusion