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We propose a new adaptive empirical Bayes framework, the Bag-Of-Null-Statistics (BONuS) procedure, for multiple testing where each hypothesis testing problem is itself multivariate or nonparametric.
Controlling the false discovery rate: a practical and powerful approach to multiple testing
Yoav Benjamini and Yosef Hochberg · 1995
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EM algorithms for PCA and SPCA
Sam Roweis · 1998
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Global power functions of goodness of fit tests
Arnold Janssen · 2000
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Empirical processes in M-estimation
S. van de Geer · 2000
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Operating characteristics and extensions of the false discovery rate procedure
Christopher R. Genovese and Larry Wasserman · 2002
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A stochastic process approach to false discovery control
Christopher Genovese and Larry Wasserman · 2004
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Strong control, conservative point estimation and simultaneous conservative consistency of false discovery rates: a unified approach
John D Storey, Jonathan E Taylor, and David Siegmund · 2004
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Local false discovery rates, 2005
Bradley Efron · 2005
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On the Benjamini–Hochberg method
JA Ferreira and AH Zwinderman · 2006
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Plink: a tool set for whole-genome association and population-based linkage analyses
Shaun Purcell, Benjamin Neale, Kathe Todd-Brown, Lori Thomas, Manuel AR Ferreira, David Bender, Julian Maller, Pamela Sklar, Paul IW De Bakker, Mark J Daly, et al · 2007
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Microarrays, empirical Bayes and the two-groups model
Bradley Efron · 2008
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A multivariate test of association
Manuel AR Ferreira and Shaun M Purcell · 2008
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Biological, clinical and population relevance of 95 loci for blood lipids
Tanya M Teslovich, Kiran Musunuru, Albert V Smith, Andrew C Edmondson, Ioannis M Stylianou, Masahiro Koseki, James P Pirruccello, Samuli Ripatti, Daniel I Chasman, Cristen J Willer, et al · 2010
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A genome-wide approach accounting for body mass index identifies genetic variants influencing fasting glycemic traits and insulin resistance
Alisa K Manning, Marie-France Hivert, Robert A Scott, Jonna L Grimsby, Nabila Bouatia-Naji, Han Chen, Denis Rybin, Ching-Ti Liu, Lawrence F Bielak, Inga Prokopenko, et al · 2012
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Multiphen: Joint model of multiple phenotypes can increase discovery in GWAS
Paul F O’Reilly, Clive J Hoggart, Yotsawat Pomyen, Federico CF Calboli, Paul Elliott, Marjo-Riitta Jarvelin, and Lachlan JM Coin · 2012
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Controlling the false discovery rate via knockoffs
Rina Foygel Barber, Emmanuel J Candès, et al · 2015
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Power of ordered hypothesis testing
Lihua Lei and William Fithian · 2016
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Multiple testing with the structure adaptive Benjamini-Hochberg algorithm
Ang Li and Rina Foygel Barber · 2016
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Family learning: nonparametric statistical inference with parametric efficiency
William Fithian and Daniel Ting · 2017
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Accumulation tests for FDR control in ordered hypothesis testing
Ang Li and Rina Foygel Barber · 2017
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Dagger: A sequential algorithm for FDR control on DAGs
Aaditya Ramdas, Jianbo Chen, Martin J Wainwright, and Michael I Jordan · 2017
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Genetic studies of body mass index yield new insights for obesity biology
Adam E Locke, Bratati Kahali, Sonja I Berndt, Anne E Justice, Tune H Pers, Felix R Day, Corey Powell, Sailaja Vedantam, Martin L Buchkovich, Jian Yang, et al · 2015
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New genetic loci link adipose and insulin biology to body fat distribution
Dmitry Shungin, Thomas W Winkler, Damien C Croteau-Chonka, Teresa Ferreira, Adam E Locke, Reedik Mägi, Rona J Strawbridge, Tune H Pers, Krista Fischer, Anne E Justice, et al · 2015
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A generalized Benjamini-Hochberg procedure for multivariate hypothesis testing
Kasra Alishahi, Ahmad Reza Ehyaei, and Ali Shojaie · 2016
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Sequential selection procedures and false discovery rate control
Max Grazier G’Sell, Stefan Wager, Alexandra Chouldechova, and Robert Tibshirani · 2016
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Data-driven hypothesis weighting increases detection power in genome-scale multiple testing
Nikolaos Ignatiadis, Bernd Klaus, Judith B Zaugg, and Wolfgang Huber · 2016
Cited alongside, same era.
Hypothesis testing for high-dimensional multinomials: A selective review
Sivaraman Balakrishnan and Larry Wasserman
Cited in the paper.
Hypothesis testing for densities and high-dimensional multinomials: Sharp local minimax rates
Sivaraman Balakrishnan and Larry Wasserman
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Asaf Weinstein, Rina Barber, and Emmanuel Candes · 2017
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Wenge Guo, Gavin Lynch, and Joseph P Romano · 2018
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Adapt: an interactive procedure for multiple testing with side information
Lihua Lei and William Fithian · 2018
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A geometric perspective on the power of principal component association tests in multiple phenotype studies
Zhonghua Liu and Xihong Lin · 2019
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A general interactive framework for false discovery rate control under structural constraints
Lihua Lei, Aaditya Ramdas, and William Fithian · 2020
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