Monotonicity properties of multiple endpoint testing procedures

Arthur Cohen, H. B. Sackrowitz

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Multiple endpoint testing procedures concerned with k means are viewed as decision rules for a 2k finite action problem. A loss function which is the sum of losses for each endpoint problem is assumed. Procedures including the single-step, step-down, and step-up are considered. Two types of monotonicity of procedures are defined. In addition, a compelling property, namely monotonicity of the risk function is also studied for each procedure. Some further results relating monotone procedures to a complete class, to Bayes procedures and likelihood procedures are presented.

Original languageEnglish (US)
Pages (from-to)17-30
Number of pages14
JournalJournal of Statistical Planning and Inference
Issue number1-2
StatePublished - Oct 2004

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


  • Familywise error rate
  • Finite action problems
  • Global problem
  • Intraclass correlation
  • Single-step
  • Step-down
  • Step-up


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