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The present paper introduces new adaptive multiple tests which rely on the estimation of the number of true null hypotheses and which control the false discovery rate (FDR) at level alpha for finite sample size.
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Benjamini, Y., Krieger, A. M., Yekutieli, D., 2006. Adaptive linear step-up procedures that control the false discovery rate. Biometrika 93 (3), 491–507
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Blanchard, G., Roquain, E., 2009. Adaptive false discovery rate control under independence and dependence. J. Mach. Learn. Res. 10, 2837–2871
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Liang, K., Nettleton, D., 2012. Adaptive and dynamic adaptive procedures for false discovery rate control and estimation. J. R. Stat. Soc. Ser. B. Stat. Methodol. 74 (1), 163–182
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Sarkar, S. K., Guo, W., Finner, H., 2012. On adaptive procedures controlling the familywise error rate. J. Statist. Plann. Inference 142 (1), 65–78
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Heesen, P., 2014. Adaptive step up tests for the false discovery rate (FDR) under independence and dependence. Ph.D. thesis, Heinrich-Heine-Universität Düsseldorf, Germany
2014
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Storey, J. D., 2003. The positive false discovery rate: a Bayesian interpretation and the q q -value. Ann. Statist. 31 (6), 2013–2035
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