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A review of modern multiple hypothesis testing, with particular attention to the false discovery proportion
Abstract
In the last decade a growing amount of statistical research has been devoted to multiple testing, motivated by a variety of applications in medicine, bioinformatics, genomics, brain imaging, etc. Research in this area is focused on developing powerful procedures even when the number of tests is very large. This paper attempts to review research in modern multiple hypothesis testing with particular attention to the false discovery proportion, loosely defined as the number of false rejections divided by the number of rejections. We review the main ideas, stepwise and augmentation procedures; and resampling based testing. We also discuss the problem of dependence among the test statistics. Simulations make a comparison between the procedures and with Bayesian methods. We illustrate the procedures in applications in DNA microarray data analysis. Finally, few possibilities for further research are highlighted.
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Cites
The control of the false discovery rate in multiple testing under dependency
Benjamini, Y., & Yekutieli, D. (2001) · The Annals of Statistics · doi:10.1214/aos/1013699998 · Cited by 10,490
Statistical significance for genomewide studies
Storey, J. D., & Tibshirani, R. (2003) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1530509100 · Cited by 9,692
Finding Groups in Data: An Introduction to Cluster Analysis
Kaufman, L., & Rousseeuw, P. J. (1990) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316801 · Cited by 7,344
An improved Bonferroni procedure for multiple tests of significance
SIMES, R. J. (1986) · Biometrika · doi:10.1093/biomet/73.3.751 · Cited by 2,396
Multiple Comparison Procedures
Hochberg, Y., & Tamhane, A. C. (1987) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316672 · Cited by 2,389
Bernardo, J. M., & Smith, A. F. M. (1994) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316870 · Cited by 2,178
Regression analysis of multivariate incomplete failure time data by modeling marginal distributions
Wei, L. J., Lin, D. Y., & Weissfeld, L. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478873 · Cited by 1,868
Identifying differentially expressed genes using false discovery rate controlling procedures
Reiner, A., Yekutieli, D., & Benjamini, Y. (2003) · Bioinformatics · doi:10.1093/bioinformatics/btf877 · Cited by 1,765
Association of Random Variables, with Applications
Esary, J. D., Proschan, F., & Walkup, D. W. (1967) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177698701 · Cited by 1,223
The interplay of Bayesian and frequentist analysis
Bayarri, M. J., & Berger, J. O. (2004) · Statistical Science · doi:10.1214/088342304000000116 · Cited by 525
Research works printed but not linked: 125
- 10.1002/(SICI)1097-0193(1996)4:1<58::AID-HBM4>3.0.CO;2-O · doi:10.1002/(sici)1097-0193(1996)4:1<58::aid-hbm4>3.0.co;2-o
- 10.1016/S0925-4927(00)00051-2 · DOI
- 10.1016/S0896-6273(03)00393-3 · DOI · Paper page
- 10.1016/j.neuroimage.2003.12.047 · DOI
- 10.1002/(SICI)1098-2272(1997)14:6<779::AID-GEPI36>3.0.CO;2-L · doi:10.1002/(sici)1098-2272(1997)14:6<779::aid-gepi36>3.0.co;2-l
- Weller JI, 1998, Genetics, 150, 1699, 10.1093/genetics/150.4.1699 · DOI · Paper page
- 10.1152/physiolgenomics.1999.1.3.165 · DOI · Paper page
- 10.3168/jds.S0022-0302(00)74868-5 · DOI
- Mosig MO, 2001, Genetics, 157, 1683, 10.1093/genetics/157.4.1683 · DOI · Paper page
- 10.1214/ss/1056397487 · DOI · Paper page
- 10.1214/ss/1056397486 · DOI
- 10.1016/S0003-4975(00)02350-X · doi:10.1016/s0003-4975(00)02350-x
- Schlaeppi M., 1996, British Journal of Clinical Practice, 50, 14
- 10.1093/oxfordjournals.aje.a009501 · DOI
- Vedantham K., 2001, Canadian bus drivers. Canadian Journal of Psychiatrics, 46, 149
- Schaffer CM, 1998, Journal of Market Research Sociology, 40, 155
- 10.1080/01621459.2000.10474336 · DOI · Paper page
- 10.1007/BF02295736 · DOI
- 10.1207/s15327906mbr3201_2 · DOI
- 10.1111/j.1467-9574.2006.00343.x · DOI
- 10.1016/0167-9473(96)00003-5 · DOI · Paper page
- 10.1214/009053606000000074 · DOI · Paper page
- Holm S., 1979, Scandinavian Journal of Statistics, 6, 65
- 10.1214/lnms/1196285632 · DOI
- Benjamini Y., 1995, Journal of the Royal Statistical Society, 57, 289, 10.1111/j.2517-6161.1995.tb02031.x · DOI · Paper page
- 10.1080/00401706.1968.10490605 · DOI
- 10.2202/1544-6115.1042 · DOI · Paper page
- 10.1198/016214506000000339 · DOI
- 10.1002/gepi.1124 · DOI · Paper page
- 10.1111/1467-9868.00346 · DOI · Paper page
- Sarkar SK, 2005, Stepup procedures controlling generalized FWER and generalized FDR
- 10.1214/aos/1074290335 · DOI · Paper page
- 10.1111/1467-9469.00072 · DOI · Paper page
- 10.1093/biomet/93.3.509 · DOI · Paper page
- 10.1111/1467-9868.00347 · DOI · Paper page
- 10.1016/j.jspi.2003.06.019 · DOI
- Westfall PH, 1993, Resampling-based multiple testing: examples and methods for p-value adjustment
- 10.1007/978-1-4613-8122-8 · DOI · Paper page
- Diaconis P., 1985, Theories of data analysis: from magical thinking through classical statistics
- Ahmed SW Issues arising in the application of Bonferroni procedures in federal surveys . In 1991 ASA Proceedings of the Survey Research Methods Section , 1991. 344-49.
- 10.2307/2532694 · DOI · Paper page
- 10.2202/1544-6115.1040 · DOI · Paper page
- 10.1214/aos/1015362191 · DOI
- Pesarin F., 2001, Multivariate permutation tests with applications to biostatistics
- 10.1007/978-1-4899-4541-9 · DOI · Paper page
- 10.1198/0003130042845 · DOI
- 10.1016/j.jspi.2003.07.019 · DOI
- 10.1007/BF02595811 · DOI · Paper page
- Farcomeni A., 2006, Scandinavian Journal of Statistics
- 10.1214/009053606000000425 · DOI · Paper page
- 10.1016/S0378-3758(99)00041-5 · DOI · Paper page
- 10.1093/acprof:oso/9780195035681.001.0001 · DOI · Paper page
- 10.1177/00928615980320S131 · DOI
- 10.1016/S1047-2797(98)00003-9 · DOI
- 10.1002/(SICI)1097-0258(20000330)19:6<767::AID-SIM518>3.0.CO;2-U · DOI
- 10.2307/2531158 · DOI · Paper page
- 10.1002/sim.4780141103 · DOI
- 10.2307/2533057 · DOI · Paper page
- 10.1080/01621459.1984.10478093 · DOI · Paper page
- 10.2307/2532142 · DOI · Paper page
- 10.1093/biomet/75.4.800 · DOI · Paper page
- 10.2202/1544-6115.1041 · DOI
- Sidak Z., 1967, Journal of the American Statistical Association, 62, 626
- 10.1214/aoms/1177693504 · DOI
- 10.1214/aos/1028144847 · DOI
- 10.1080/01621459.1992.10475188 · DOI · Paper page
- Seneta E., 1997, Theory of Stochastic Processes, 3, 393
- 10.1111/j.1751-5823.2005.tb00249.x · doi:10.1111/j.1751-5823.2005.tb00249.x
- 10.1146/annurev.ps.46.020195.003021 · DOI · Paper page
- 10.3102/10769986025001060 · DOI · Paper page
- 10.1016/S0378-3758(99)00040-3 · DOI · Paper page
- 10.1111/j.1467-9868.2004.00439.x · DOI · Paper page
- 10.1214/009053604000000283 · DOI · Paper page
- 10.1214/aos/1015362192 · DOI · Paper page
- 10.1093/biomet/93.3.491 · DOI · Paper page
- 10.1073/pnas.091062498 · DOI · Paper page
- Storey JD, 2001, false discovery rates under dependence, with applications to DNA microarrays
- 10.1093/biomet/69.3.493 · DOI · Paper page
- 10.1006/nimg.2001.0764 · DOI
- Swanepoel JWH., 1999, Annals of Statistics, 27, 24
- 10.1214/009053605000000741 · DOI · Paper page
- 10.1111/j.1467-9868.2005.00515.x · DOI · Paper page
- 10.1086/324109 · DOI
- 10.1111/j.1467-9868.2005.00509.x · DOI
- 10.2202/1544-6115.1143 · DOI
- R Development Core Team. R., 2004, A language and environment for statistical computing
- 10.1198/0162145000001655 · DOI
- 10.1007/978-1-4899-4473-3 · DOI · Paper page
- 10.1016/S0378-3758(99)00044-0 · DOI
- Berry DA Multiple comparisons, multiple tests, and data dredging: a Bayesian perspective . In Bernardo J, DeGroot M, Lindley D , Smith A, eds. Bayesian statistics. vol. 3. Oxford University Press, 1988: 79-94.
- 10.1080/00401706.1965.10490249 · DOI · Paper page
- 10.1016/S0378-3758(99)00042-7 · DOI
- Leibermann B., 1971, Contemporary problems in statistics
- 10.1214/aos/1018031111 · DOI
- 10.1037/1082-989X.7.3.356 · DOI
- 10.1007/978-1-4757-3071-5 · DOI · Paper page
- 10.1198/016214501753382129 · DOI · Paper page
- 10.1080/01621459.1995.10476592 · DOI · Paper page
- Berger JO, 1997, Statistical Science, 12, 133, 10.1214/ss/1030037904 · DOI · Paper page
- Jeffreys H., 1961, Theory of probability
- 10.1214/aos/1028144846 · DOI · Paper page
- 10.1080/01621459.1997.10473682 · DOI · Paper page
- 10.1214/aos/1176343846 · DOI
- van der Laan MJ, 2000, Biostatistics, 1, 1, 10.1093/biostatistics/1.1.1 · doi:10.1093/biostatistics/1.1.1
- Hommel G., 1983, Biomedical Journal, 25, 423
- 10.1007/s10260-006-0002-z · DOI
- Bickel DR, 2004, On `Strong control, conservative point estimation and simultaneous conservative consistency of false discovery rates': does a large number of tests obviate confidence intervals of the FDR?
- Neuhaus KL, 1992, JAmCollCard, 19, 885
- Amaratunga D., 2004, Exploration and analysis of DNA microarray and protein array data
- 10.1007/b97411 · DOI · Paper page
- 10.1038/4462 · DOI · Paper page
- 10.1038/4434 · DOI · Paper page
- Bolsover SR, 1997, From genes to cells
- Garret RH, 2002, Principles of byochemistry
- 10.1093/nar/29.12.2549 · DOI · Paper page
- 10.1093/bioinformatics/btg464 · DOI
- Zweiger G., 2001, Transducing the genome: information, anarchy and revolution in the biomedical sciences
- 10.1073/pnas.96.12.6745 · DOI · Paper page
- 10.1126/science.286.5439.531 · DOI · Paper page
- 10.1198/016214502753479248 · DOI · Paper page
- Cover T., 1967, IEEE Transactions on Information Theory, IT
- Schervish M., 1996, American Statistician, 50, 203
- Bayarri MJ, 2000, Journal of the American Statistical Association, 95, 1127
- Cabras S., 2004, Control of the false discovery rate with frequentist p-values in microarray data analysis
- 10.1198/016214504000001646 · DOI · Paper page
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Harvey, C. R., Liu, Y., & Zhu, H. (2016) · Review of Financial Studies · doi:10.1093/rfs/hhv059 · Cited by 2,119
Association Between Molecular Subtypes of Colorectal Cancer and Patient Survival
Phipps, A. I., Limburg, P. J., Baron, J. A., Burnett-Hartman, A. N., Weisenberger, D. J., Laird, P. W., Sinicrope, F. A., Rosty, C., Buchanan, D. D., Potter, J. D., et al. (2015) · Gastroenterology · doi:10.1053/j.gastro.2014.09.038 · Cited by 401
Multiple hypothesis testing in genomics
Goeman, J. J., & Solari, A. (2014) · Statistics in Medicine · doi:10.1002/sim.6082 · Cited by 375
Replicability Analysis for Natural Language Processing: Testing Significance with Multiple Datasets
Dror, R., Baumer, G., Bogomolov, M., & Reichart, R. (2017) · Transactions of the Association for Computational Linguistics · doi:10.1162/tacl_a_00074 · Cited by 63
Carleton, R. N., Krätzig, G. P., Sauer-Zavala, S., Neary, J. P., Lix, L. M., Fletcher, A. J., Afifi, T. O., Brunet, A., Martin, R., Hamelin, K. S., et al. (2022) · Health Promotion and Chronic Disease Prevention in Canada · doi:10.24095/hpcdp.42.8.02 · Cited by 45
Metadata
- Authors
- Farcomeni, A.
- Venue
- Statistical Methods in Medical Research
- Publisher
- SAGE Publications
- Published
- 2007-08-14
- Volume
- 17
- Issue
- 4
- Pages
- 347-388
- ISSN
- 0962-2802 (ISSN-L)
- 1477-0334
- OpenAlex
- W2032136732
- Cited by
- 225
- References
- 15
- FWCI
- 8.71
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- journals.sagepub.com/page/policies/text-and-data-mining-license (tdm)
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