Multistage Tests of Multiple Hypotheses

DOI10.1080/03610920802592852zbMath1318.62248arXiv1107.1919OpenAlexW2157642165MaRDI QIDQ3585262

Jay Bartroff, Tze Leung Lai

Publication date: 19 August 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1919

zbMATH Keywords

closed testingfamily-wise error ratemultiple hypothesis testingsequential analysismultistage testing

Mathematics Subject Classification ID

Sequential statistical analysis (62L10) Paired and multiple comparisons; multiple testing (62J15)

Related Items (11)

Sequential Bonferroni Methods for Multiple Hypothesis Testing with Strong Control of Family-Wise Error Rates I and II ⋮ Optimal tests for arbitrarily varying object and the familywise error rates ⋮ Asymptotically optimal sequential FDR and pFDR control with (or without) prior information on the number of signals ⋮ A stable sequential multiple test for Koopman-Darmois family ⋮ Step-up and step-down methods for testing multiple hypotheses in sequential experiments ⋮ Sequential tests of multiple hypotheses controlling false discovery and nondiscovery rates ⋮ Sequential tests controlling generalized familywise error rates ⋮ Sequential tests of multiple hypotheses controlling type I and II familywise error rates ⋮ Discussion on “Change-Points: From Sequential Detection to Biology and Back” by David Siegmund ⋮ A Rejection Principle for Sequential Tests of Multiple Hypotheses Controlling Familywise Error Rates ⋮ Constrained Bayesian Method for Testing Multiple Hypotheses in Sequential Experiments

Cites Work

• Unnamed Item
• 2-SPRT's and the modified Kiefer-Weiss problem of minimizing an expected sample size
• Resampling-based multiple testing for microarray data analysis (With comments)
• On sequential distinguishability
• On closed testing procedures with special reference to ordered analysis of variance
• An Approximate Likelihood Ratio Test for Comparing Several Treatments to a Control
• Sequential multiple hypothesis testing and efficient fault detection-isolation in stochastic systems
• Closed Testing Procedures for Group Sequential Clinical Trials with Multiple Endpoints
• A generalized change detection problem
• On The Design and Analysis of Randomized Clinical Trials with Multiple Endpoints
• Stepwise Multiple Testing as Formalized Data Snooping
• Testing Statistical Hypotheses
• A Sequential Procedure for Selecting the Population with the Largest Mean from $k$ Normal Populations
• Lower Bounds for Average Sample Number of Sequential Multihypothesis Tests
• A Sequential Procedure for Selecting the Largest of $k$ Means
• Likelihood Ratio Tests for Sequential $k$-Decision Problems
• Estimation of the Number of Terms in a Sum
• Importance Sampling for Generalized Likelihood Ratio Procedures in Sequential Analysis
• A Sequential Decision Procedure for Choosing One of $k$ Hypotheses Concerning the Unknown Mean of a Normal Distribution
• Exact and Approximate Stepdown Methods for Multiple Hypothesis Testing
• A Sequential Decision Procedure for Choosing One of Three Hypotheses Concerning the Unknown Mean of a Normal Distribution
• A Single-Sample Multiple Decision Procedure for Ranking Means of Normal Populations with known Variances

This page was built for publication: Multistage Tests of Multiple Hypotheses