Power-enhanced multiple decision functions controlling family-wise error and false discovery rates

DOI10.1214/10-AOS844zbMath1274.62143arXiv0908.1767OpenAlexW3100641699WikidataQ33881896 ScholiaQ33881896MaRDI QIDQ2429940

Edsel A. Peña, Wensong Wu, Joshua D. Habiger

Publication date: 5 April 2011

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1767

zbMATH Keywords

power functionfalse discovery rateBenjamini-Hochberg proceduredecision processfamily wise error ratemicroarray analysismultiple hypotheses testingreverse martingaleBonferroni procedureLagrangian optimizationoptional sampling theoremmissed discovery rategeneralized multiple decision \(p\)-valuesmultiple decision function and processNeyman-Pearson most powerful testrandomized \(p\)-valuesROC functionŠidák procedure

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Paired and multiple comparisons; multiple testing (62J15)

Related Items

LAWS: A Locally Adaptive Weighting and Screening Approach to Spatial Multiple Testing, Heteroscedasticity-Adjusted Ranking and Thresholding for Large-Scale Multiple Testing, Weighted False Discovery Rate Control in Large-Scale Multiple Testing, Bayesian nonparametric multiple testing, Capturing the severity of type II errors in high-dimensional multiple testing, Multiple test functions and adjusted \(p\)-values for test statistics with discrete distributions, A method for modifying multiple testing procedures, Power-enhanced multiple decision functions controlling family-wise error and false discovery rates, Bayes multiple decision functions, Some optimality properties of FDR controlling rules under sparsity, Asymptotic Bayes-optimality under sparsity of some multiple testing procedures, Compound \(p\)-value statistics for multiple testing procedures, Multiple Testing of Composite Null Hypotheses in Heteroscedastic Models, Efficient Stratified Testing Procedure for a False Discovery Rate, Classes of multiple decision functions strongly controlling FWER and FDR

Uses Software

• R

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