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We consider the class of all multiple testing methods controlling tail probabilities of the false discovery proportion, either for one random set or simultaneously for many such sets.
Closed testing procedures with special reference to ordered analysis of variance
Marcus, R., Peritz, E., and Gabriel, K. (1976) · 1976
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Multiple hypothesis testing in genomics
Goeman, J. J. and Solari, A. (2014) · 1978
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Allgemeine Lösungen multipler Testprobleme
Sonnemann, E. (1982) · 1982
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Modified sequentially rejective multiple test procedures
Shaffer, J. P. (1986) · 1986
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Controlled uncertainty
Hommel, G. and Hoffmann, T. (1988) · 1988
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Vollständigkeitssätze für multiple Testprobleme
Sonnemann, E. and Finner, H. (1988) · 1988
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Analysis of individual positron emission tomography activation maps by detection of high signal-to-noise-ratio pixel clusters
Poline, J.-B. and Mazoyer, B. M. (1993) · 1993
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Resampling-Based Multiple Testing
Westfall, P. and Young, S. (1993) · 1993
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Controlling the false discovery rate: a practical and powerful approach to multiple testing
Benjamini, Y. and Hochberg, Y. (1995) · 1995
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A step-down multiple hypotheses testing procedure that controls the false discovery rate under independence
Benjamini, Y. and Liu, W. (1999) · 1999
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The partitioning principle: a powerful tool in multiple decision theory
Finner, H. and Strassburger, K. (2002) · 2002
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Higher criticism for detecting sparse heterogeneous mixtures
Donoho, D. and Jin, J. (2004) · 2004
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Multiple testing. Part I. Single-step procedures for control of general type I error rates
Dudoit, S., van der Laan, M. J., and Pollard, K. S. (2004) · 2004
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A stochastic process approach to false discovery control
Genovese, C. and Wasserman, L. (2004) · 2004
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Controlling the number of false discoveries: application to high-dimensional genomic data
Korn, E. L., Troendle, J. F., McShane, L. M., and Simon, R. (2004) · 2004
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Generalizations of the familywise error rate
Lehmann, E. and Romano, J. (2005) · 2005
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Exceedance control of the false discovery proportion
Genovese, C. R. and Wasserman, L. (2006) · 2006
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Testing statistical hypotheses
Lehmann, E. L. and Romano, J. P. (2006) · 2006
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False discovery control for multiple tests of association under general dependence
Meinshausen, N. (2006) · 2006
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Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
Meinshausen, N. and Rice, J. (2006) · 2006
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Stepup procedures for control of generalizations of the familywise error rate
Romano, J. P. and Shaikh, A. M. (2006) · 2006
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Stepup procedures controlling generalized FWER and generalized FDR
Sarkar, S. K. (2007) · 2007
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Screening for partial conjunction hypotheses
Benjamini, Y. and Heller, R. (2008) · 2008
Cited alongside, same era.
Modified Simes’ critical values under independence
Cai, G. and Sarkar, S. K. (2008) · 2008
Cited alongside, same era.
Multiple testing on the directed acyclic graph of gene ontology
Goeman, J. J. and Mansmann, U. (2008) · 2008
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Hierarchical testing of variable importance
Meinshausen, N. (2008) · 2008
Cited alongside, same era.
General solutions to multiple testing problems
Sonnemann, E. (2008) · 2008
Cited alongside, same era.
On generalized Simes critical constants
Gou, J. and Tamhane, A. C. (2014) · 2014
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Further results on controlling the false discovery proportion
Guo, W., He, L., Sarkar, S. K., et al. (2014) · 2014
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Optimal tests of treatment effects for the overall population and two subpopulations in randomized trials, using sparse linear programming
Rosenblum, M., Liu, H., and Yen, E.-H. (2014) · 2014
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New procedures controlling the false discovery proportion via Romano-Wolf’s heuristic
Delattre, S., Roquain, E., et al. (2015) · 2015
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Closed testing in pharmaceutical research: Historical and recent developments
Henning, K. S. and Westfall, P. H. (2015) · 2015
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A region-based multiple testing method for hypotheses ordered in space or time
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Adaptive false discovery rate control under independence and dependence
Blanchard, G. and Roquain, É. (2009) · 2009
Cited alongside, same era.
A graphical approach to sequentially rejective multiple test procedures
Bretz, F., Maurer, W., Brannath, W., and Posch, M. (2009) · 2009
Cited alongside, same era.
Generalized augmentation to control the false discovery exceedance in multiple testing
Farcomeni, A. (2009) · 2009
Cited alongside, same era.
Simultaneous and selective inference: Current successes and future challenges
Benjamini, Y. (2010) · 2010
Cited alongside, same era.
Shortcuts for locally consonant closed test procedures
Brannath, W. and Bretz, F. (2010) · 2010
Cited alongside, same era.
The sequential rejection principle of familywise error control
Goeman, J. J. and Solari, A. (2010) · 2010
Cited alongside, same era.
Meijer, R. J., Krebs, T. J., and Goeman, J. J. (2015) · 2015
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False discovery control in large-scale spatial multiple testing
Sun, W., Reich, B. J., Tony Cai, T., Guindani, M., and Schwartzman, A. (2015) · 2015
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Goodness of fit tests in terms of local levels with special emphasis on higher criticism tests
Gontscharuk, V., Landwehr, S., Finner, H., et al. (2016) · 2016
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Familywise error rate control via knockoffs
Janson, L., Su, W., et al. (2016) · 2016
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False discovery proportion estimation by permutations: confidence for significance analysis of microarrays
Hemerik, J. and Goeman, J. J. (2018) · 2018
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Online rules for control of false discovery rate and false discovery exceedance
Javanmard, A., Montanari, A., et al. (2018) · 2018
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All-resolutions inference for brain imaging
Rosenblatt, J. D., Finos, L., Weeda, W. D., Solari, A., and Goeman, J. J. (2018) · 2018
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Optimal procedures for multiple testing problems
Rosset, S., Heller, R., Painsky, A., and Aharoni, E. (2018) · 2018
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Simultaneous enrichment analysis of all possible gene-sets: Unifying self-contained and competitive methods
Ebrahimpoor, M., Spitali, P., Hettne, K., Tsonaka, R., and Goeman, J. (2019) · 2019
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Simultaneous control of all false discovery proportions in large-scale multiple hypothesis testing
Goeman, J., Meijer, R., Krebs, T., and Solari, A. (2019) · 2019
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Permutation-based simultaneous confidence bounds for the false discovery proportion
Hemerik, J., Solari, A., and Goeman, J. J. (2019) · 2019
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Admissibility in partial conjunction testing
Wang, J. and Owen, A. B. (2019) · 2019
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Post hoc confidence bounds on false positives using reference families
Blanchard, G., Neuvial, P., and Roquain, E. (2020) · 2020
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Fast closed testing for exchangeable local tests
Dobriban, E. (2020) · 2020
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Post hoc false positive control for structured hypotheses
Durand, G., Blanchard, G., Neuvial, P., and Roquain, E. (2020) · 2020
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Simultaneous high-probability bounds on the false discovery proportion in structured, regression, and online settings
Katsevich, E. and Ramdas, A. (2020) · 2020
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