The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
A Direct Approach to False Discovery Rates
Abstract
Summary: Multiple-hypothesis testing involves guarding against much more complicated errors than single-hypothesis testing. Whereas we typically control the type I error rate for a single-hypothesis test, a compound error rate is controlled for multiple-hypothesis tests. For example, controlling the false discovery rate FDR traditionally involves intricate sequential p-value rejection methods based on the observed data. Whereas a sequential p-value method fixes the error rate and estimates its corresponding rejection region, we propose the opposite approach—we fix the rejection region and then estimate its corresponding error rate. This new approach offers increased applicability, accuracy and power. We apply the methodology to both the positive false discovery rate pFDR and FDR, and provide evidence for its benefits. It is shown that pFDR is probably the quantity of interest over FDR. Also discussed is the calculation of the q-value, the pFDR analogue of the p-value, which eliminates the need to set the error rate beforehand as is traditionally done. Some simple numerical examples are presented that show that this new approach can yield an increase of over eight times in power compared with the Benjamini–Hochberg FDR method.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“The 2982 MLG that contained over 100 genes were tested for enrichment or depletion in individuals with ACVD (218 ACVD cases and 187 controls) according to the non-parametric method, Wilcoxon rank-sum test, and controlled for multiple testing (q-value <0.05)55, 60.”
From The gut microbiome in atherosclerotic cardiovascular disease (2017) · cites this paper as [60]
Citations
Cites
Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing
Benjamini, Y., & Hochberg, Y. (1995) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1995.tb02031.x · Cited by 109,482
An Introduction to the Bootstrap
Efron, B., & Tibshirani, R. J. (1994) · doi:10.1201/9780429246593 · Cited by 40,500
An Introduction to the Bootstrap
Efron, B., & Tibshirani, R. J. (1993) · doi:10.1007/978-1-4899-4541-9 · Cited by 21,230
In silico prediction of protein-protein interactions in human macrophages
Souiai, O., Guerfali, F. Z., Miled, S. B., Brun, C., & Benkahla, A. (2014) · BMC Research Notes · doi:10.1186/1756-0500-7-157 · Cited by 10,785
Significance analysis of microarrays applied to the ionizing radiation response
Tusher, V. G., Tibshirani, R., & Chu, G. (2001) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.091062498 · Cited by 10,568
The positive false discovery rate: a Bayesian interpretation and the q-value
Storey, J. D. (2003) · The Annals of Statistics · doi:10.1214/aos/1074290335 · Cited by 2,204
Self-citationOn the adaptive control of the false discovery rate in multiple testing with independent statistics
Benjamini, Y., & Hochberg, Y. (2000) · Journal of Educational and Behavioral Statistics · doi:10.3102/10769986025001060 · Cited by 2,015
Empirical Bayes analysis of a microarray experiment
Efron, B., Tibshirani, R., Storey, J. D., & Tusher, V. (2001) · Journal of the American Statistical Association · doi:10.1198/016214501753382129 · Cited by 1,733
Self-citationYekutieli, D., & Benjamini, Y. (1999) · Journal of Statistical Planning and Inference · doi:10.1016/s0378-3758(99)00041-5 · Cited by 738
Benjamini, Y., & Liu, W. (1999) · Journal of Statistical Planning and Inference · doi:10.1016/s0378-3758(99)00040-3 · Cited by 242
Research works printed but not linked: 1
- Storey, 2001, Estimating false discovery rates under dependence, with applications to DNA microarrays
Cited by
Sorted by citations
Items 101–121 of 121
Toll-like receptor gene polymorphisms are associated with allergic rhinitis: a case control study
Nilsson, D., Andiappan, A. K., Halldén, C., De Yun, W., Säll, T., Tim, C. F., & Cardell, L.-O. (2012) · BMC Medical Genetics · doi:10.1186/1471-2350-13-66 · Cited by 43
Loss of hepatocyte cell division leads to liver inflammation and fibrosis
Dewhurst, M. R., Ow, J. R., Zafer, G., van Hul, N. K. M., Wollmann, H., Bisteau, X., Brough, D., Choi, H., & Kaldis, P. (2020) · PLOS Genetics · doi:10.1371/journal.pgen.1009084 · Cited by 42
Castilla-Ortega, E., Rosell-Valle, C., Pedraza, C., Rodríguez de Fonseca, F., Estivill-Torrús, G., & Santín, L. J. (2014) · Neurobiology of Learning and Memory · doi:10.1016/j.nlm.2013.12.001 · Cited by 41
Quantitative measurement of allele‐specific protein expression in a diploid yeast hybrid by LC‐MS
Khan, Z., Bloom, J. S., Amini, S., Singh, M., Perlman, D. H., Caudy, A. A., & Kruglyak, L. (2012) · Molecular Systems Biology · doi:10.1038/msb.2012.34 · Cited by 37
Liang, Y., Feng, Y., Zong, M., Wei, X., Lee, J., Feng, Y., Li, H., Yang, G., Wu, Z., Fu, X., et al. (2018) · Hepatology · doi:10.1002/hep.29661 · Cited by 36
Maternal aggression: New insights from Egr-1
Hasen, N. S., & Gammie, S. C. (2006) · Brain Research · doi:10.1016/j.brainres.2006.06.007 · Cited by 37
Mascheretti, S., Trezzi, V., Giorda, R., Boivin, M., Plourde, V., Vitaro, F., Brendgen, M., Dionne, G., & Marino, C. (2017) · Journal of Child Psychology and Psychiatry · doi:10.1111/jcpp.12612 · Cited by 37
Stricker, T. P., Morales La Madrid, A., Chlenski, A., Guerrero, L., Salwen, H. R., Gosiengfiao, Y., Perlman, E. J., Furman, W., Bahrami, A., Shohet, J. M., et al. (2014) · Molecular Oncology · doi:10.1016/j.molonc.2014.01.010 · Cited by 36
Maschietto, M., de Camargo, B., Brentani, H., Grundy, P., Sredni, S. T., Torres, C., Mota, L. D., Cunha, I. W., Patrão, D. F. C., Costa, C. M. L., et al. (2008) · Oncology · doi:10.1159/000155210 · Cited by 35
Jeong, S. H., Yu, J.-C., Lee, C. H., Choi, K.-S., Choi, J.-E., Kim, S. H., & Joo, E.-J. (2014) · European Archives of Psychiatry and Clinical Neuroscience · doi:10.1007/s00406-013-0443-y · Cited by 28
Performance of technical trading rules: evidence from the crude oil market
Psaradellis, I., Laws, J., Pantelous, A. A., & Sermpinis, G. (2019) · The European Journal of Finance · doi:10.1080/1351847x.2018.1552172 · Cited by 27
Zierhut, K. C., Schulte-Kemna, A., Kaufmann, J., Steiner, J., Bogerts, B., & Schiltz, K. (2013) · Cortex · doi:10.1016/j.cortex.2012.08.027 · Cited by 26
Poor Reproducibility of Allergic Rhinitis SNP Associations
Nilsson, D., Andiappan, A. K., Halldén, C., Tim, C. F., Säll, T., Wang, D. Y., & Cardell, L.-O. (2013) · PLoS ONE · doi:10.1371/journal.pone.0053975 · Cited by 25
A microneedle device for rapid dermal interstitial fluid sampling
Hung, A. H., Kamat, N. U., Bermudez, A., Boczek, S. M., Garcia-Marqués, F. J., Tan, Y. L., Hwang, J. (., Sinawang, P. D., Ilyin, D., Jacobson, G. B., et al. (2025) · Science Advances · doi:10.1126/sciadv.adx5492 · Cited by 22
Investigating highly replicated asthma genes as candidate genes for allergic rhinitis
Andiappan, A. K., Nilsson, D., Halldén, C., De Yun, W., Säll, T., Cardell, L. O., & Tim, C. F. (2013) · BMC Medical Genetics · doi:10.1186/1471-2350-14-51 · Cited by 20
White Matter Changes after Neurobehavioral Therapy for Functional Seizures
Mueller, C., Goodman, A. M., Allendorfer, J. B., Nenert, R., Gaston, T. E., Grayson, L. E., Correia, S., Philip, N. S., LaFrance, W. C., & Szaflarski, J. P. (2023) · Annals of Neurology · doi:10.1002/ana.26665 · Cited by 19
Adnan Awad, S., Dufva, O., Klievink, J., Karjalainen, E., Ianevski, A., Pietarinen, P., Kim, D., Potdar, S., Wolf, M., Lotfi, K., et al. (2024) · Cell Reports Medicine · doi:10.1016/j.xcrm.2024.101521 · Cited by 14
Testing conditional independence in supervised learning algorithms
Watson, D. S., & Wright, M. N. (2021) · Machine Learning · doi:10.1007/s10994-021-06030-6 · Cited by 13
Unraveling sex differences in Alzheimer's disease and related endophenotypes with brain proteomes
Mei, Z., Liu, J., Bennett, D. A., Seyfried, N., Wingo, A. P., & Wingo, T. S. (2025) · Alzheimer's & Dementia · doi:10.1002/alz.70206 · Cited by 11
Hierarchical cortical transcriptome disorganization in autism
Lombardo, M. V., Courchesne, E., Lewis, N. E., & Pramparo, T. (2016) · doi:10.1101/042937 · Cited by 7
Wang, F. L., Chassin, L., Bates, J. E., Dick, D., Lansford, J. E., Pettit, G. S., & Dodge, K. A. (2018) · Development and Psychopathology · doi:10.1017/s095457941700058x · Cited by 6
Metadata
- Authors
- Storey, J. D.
- Affiliations
- Stanford University (US)
- Corresponding author
- Storey, John D.
- ORCID
- Storey, John D.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 2002-08-01
- Volume
- 64
- Issue
- 3
- Pages
- 479-498
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W2105381419
- Cited by
- 5,603
- References
- 12
- Citations by year
- 2026: 164 · 2025: 183 · 2024: 239 · 2023: 245 · 2022: 201 · 2021: 278 · 2020: 249 · 2019: 249 · 2018: 279 · 2017: 274 · 2016: 297 · 2015: 255 · 2014: 340 · 2013: 348 · 2012: 363
- FWCI
- 96.71
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the Royal Statistical Society Series B (Statistical Methodology) (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene expression and cancer classification
- Keywords
- false discovery rate, multiple comparisons, Q-value, Benjamini-Hochberg procedure, statistical power
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review