Simultaneous confidence regions for closed tests, including Holm-, Hochberg-, and Hommel-related procedures

DOI10.1002/bimj.201100123zbMath1441.62363OpenAlexW1893515921WikidataQ51356497 ScholiaQ51356497MaRDI QIDQ2902542

Olivier J. M. Guilbaud

Publication date: 21 August 2012

Published in: Biometrical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/bimj.201100123

zbMATH Keywords

clinical trialsSimes inequalitystepwise proceduressimultaneous confidence regionsclosed-testing procedures

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Applications of statistics to biology and medical sciences; meta analysis (62P10) Parametric hypothesis testing (62F03) Sequential statistical analysis (62L10) Paired and multiple comparisons; multiple testing (62J15)

Related Items

Informative simultaneous confidence intervals for the fallback procedure ⋮ Multiple comparisons of mean vectors with large dimension under general conditions ⋮ General theory of mixture procedures for gatekeeping ⋮ Correction: Simultaneous confidence regions for closed tests, including Holm-, Hochberg-, and Hommel-related procedures

Cites Work

• Unnamed Item
• Multiple testing of pairs of one-sided hypotheses
• Control of directional errors with stagewise multiple test procedures
• Control of directional errors with step-up multiple tests
• Stepwise multiple test procedures and control of directional errors
• The partitioning principle: a powerful tool in multiple decision theory
• Global and multiple test procedures using ordered \(p\)-values -- a review
• Generalizations of the familywise error rate
• Note on simultaneous inferences about non‐inferiority and superiority for a primary and a secondary endpoint
• Multiple Comparisons
• A stagewise rejective multiple test procedure based on a modified Bonferroni test
• A sharper Bonferroni procedure for multiple tests of significance
• Step Down Procedures for Comparison With a Control
• The Simes Method for Multiple Hypothesis Testing With Positively Dependent Test Statistics
• An improved Bonferroni procedure for multiple tests of significance