Asymptotic comparison of the critical values of step-down and step-up multiple comparison procedures

DOI10.1016/S0378-3758(98)00233-XzbMath0951.62060MaRDI QIDQ1298925

Helmut Finner, Markus Roters

Publication date: 27 December 2000

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

order statisticsfamilywise error ratemultiple comparisonsHazard ratestep-downmultiple test proceduresstep-up testasymptotic criterial value behaviourBonferroni test procedureindependent p-valuesmultiple level

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Asymptotic properties of parametric tests (62F05) Limit theorems in probability theory (60F99) Paired and multiple comparisons; multiple testing (62J15)

Related Items

A note on step-up test in orthogonal saturated designs ⋮ Asymptotic sharpness of product-type inequalities for maxima of random variables with applications in multiple comparisons ⋮ Robustness of multiple testing procedures against dependence ⋮ Asymptotic comparison of step-down and step-up multiple test procedures based on exchangeable test statistics ⋮ Multiple hypotheses testing and expected number of type I errors ⋮ Some results on false discovery rate in stepwise multiple testing procedures.

Cites Work

• Buying with exact confidence
• On the limit behaviour of the joint distribution function of order statistics
• Asymptotic comparison of step-down and step-up multiple test procedures based on exchangeable test statistics
• Duality between multiple testing and selecting
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• A sharper Bonferroni procedure for multiple tests of significance
• A Step-Up Multiple Test Procedure
• Stepwise Multiple Comparison Procedures
• An improved Bonferroni procedure for multiple tests of significance