title: Minimally adaptive BH: A tiny but uniform improvement of the procedure of Benjamini and Hochberg.
abstract: We define an adaptive procedure for control of the false discovery rate that is uniformly more powerful than the procedure of Benjamini and Hochberg. The power gain is tiny, however, and only appreciable for small numbers of hypotheses. We illustrate the new method with the case of two hypotheses, for which so far no procedure was known that controls false discovery rate but not also familywise error rate under positive dependence.
authors.affiliation: Department of Economics, Management and Statistics, University of Milano-Bicocca, Piazza dell'Ateneo Nuovo 1, 20126 Milan, Italy.
authors.forename: Aldo
authors.initials: A
authors.lastname: Solari
authors.affiliation: Department of Medical Statistics and Bioinformatics, Leiden University Medical Center, Postzone S5-P, Postbus 9600, 2300 RC Leiden, The Netherlands.|Radboud Institute for Molecular Life Science, Radboud University Medical Center, The Netherlands.
authors.forename: Jelle J
authors.initials: JJ
authors.lastname: Goeman
mesh_terms: D000465:Algorithms; D001699:Biometry / Q000379:methods*; D015233:Models, Statistical
keywords: Adaptive; False discovery rate; Multiple testing; Stepping down