• 1 Introduction
  • 2 Overview and Motivation
  • 2.1 Problem at Hand
  • 2.2 Various Error Rates
  • 2.3 Single-step vs. Stepwise Methods
  • 2.4 Previous Work and Introduction of Balance
  • 3 Balanced (Generalized) Simultaneous Confidence Regions
  • 4 Stepdown Methods that Control the k-FWER
  • 5 Asymptotic Results on k-FWER Control
  • 5.1 A Bootstrap Construction
  • 5.2 A General Subsampling Construction
  • 6 Planned Imbalance and Weighted Control of k-FWER
  • 7 Control of Average Number of False Rejections