用于Benjamini-Hochberg程序的平均功效的精确计算。
Exact calculations of average power for the Benjamini-Hochberg procedure.
作者信息
Glueck Deborah H, Mandel Jan, Karimpour-Fard Anis, Hunter Lawrence, Muller Keith E
机构信息
University of Colorado Denver,
出版信息
Int J Biostat. 2008;4(1):Article 11. doi: 10.2202/1557-4679.1103.
Abstract
Exact analytic expressions are developed for the average power of the Benjamini and Hochberg false discovery control procedure. The result is based on explicit computation of the joint probability distribution of the total number of rejections and the number of false rejections, and expressed in terms of the cumulative distribution functions of the p-values of the hypotheses. An example of analytic evaluation of the average power is given. The result is confirmed by numerical experiments and applied to a meta-analysis of three clinical studies in mammography.
摘要
针对本雅明尼和霍赫贝格错误发现控制程序的平均功效，推导出了精确的解析表达式。该结果基于对拒绝总数和错误拒绝数的联合概率分布的显式计算，并根据假设的p值的累积分布函数来表示。给出了平均功效的解析评估示例。通过数值实验对结果进行了验证，并将其应用于三项乳腺X线摄影临床研究的荟萃分析。
相似文献
1
Exact calculations of average power for the Benjamini-Hochberg procedure.
Int J Biostat. 2008;4(1):Article 11. doi: 10.2202/1557-4679.1103.
2
Expected Power for the False Discovery Rate with Independence.
Commun Stat Theory Methods. 2008 Jan;37(12):1855-1866. doi: 10.1080/03610920801893731.
3
Evaluations of the Optimal Discovery Procedure for Multiple Testing.
Int J Biostat. 2016 May 1;12(1):21-9. doi: 10.1515/ijb-2015-0027.
4
On the operational characteristics of the Benjamini and Hochberg False Discovery Rate procedure.
Stat Appl Genet Mol Biol. 2007;6:Article27. doi: 10.2202/1544-6115.1302. Epub 2007 Oct 11.
5
CALCULATING AVERAGE POWER FOR THE BENJAMINI-HOCHBERG PROCEDURE.
J Stat Theory Appl. 2009;8(3):325-352.
6
Minimally adaptive BH: A tiny but uniform improvement of the procedure of Benjamini and Hochberg.
Biom J. 2017 Jul;59(4):776-780. doi: 10.1002/bimj.201500253. Epub 2016 May 18.
7
On the comparison of FROC curves in mammography CAD systems.
Med Phys. 2005 Feb;32(2):412-7. doi: 10.1118/1.1844433.
8
Probabilities for separating sets of order statistics.
Statistics (Ber). 2010 Apr 1;44(2):145-153. doi: 10.1080/02331880902986984.
9
Incorporating the empirical null hypothesis into the Benjamini-Hochberg procedure.
Stat Appl Genet Mol Biol. 2012 Jul 26;11(4):/j/sagmb.2012.11.issue-4/1544-6115.1735/1544-6115.1735.xml. doi: 10.1515/1544-6115.1735.
10
Multi-scale textural feature extraction and particle swarm optimization based model selection for false positive reduction in mammography.
Comput Med Imaging Graph. 2015 Dec;46 Pt 2:95-107. doi: 10.1016/j.compmedimag.2015.02.005. Epub 2015 Feb 24.
引用本文的文献
1
Short- and Long-Term Outcomes of Open, Laparoscopic, and Robot-Assisted Surgery for Rectal Cancer.
Ann Gastroenterol Surg. 2025 Apr 16;9(5):1017-1028. doi: 10.1002/ags3.70024. eCollection 2025 Sep.
2
Comparative safety and efficacy of oncolytic virotherapy for the treatment of individuals with malignancies: a systematic review, meta-analysis, and Bayesian network meta-analysis.
EClinicalMedicine. 2025 Jul 19;86:103362. doi: 10.1016/j.eclinm.2025.103362. eCollection 2025 Aug.
3
UnitedMet harnesses RNA-metabolite covariation to impute metabolite levels in clinical samples.
Nat Cancer. 2025 Apr 18. doi: 10.1038/s43018-025-00943-0.
4
Selenium vs Control for Graves Ophthalmopathy in a Selenium-Sufficient Area: A Randomized Clinical Trial.
JAMA Ophthalmol. 2025 Feb 27;143(4):287-94. doi: 10.1001/jamaophthalmol.2024.6337.
5
COVID-19 in Relation to Chronic Antihistamine Prescription.
Microorganisms. 2024 Dec 13;12(12):2589. doi: 10.3390/microorganisms12122589.
6
Genome-wide DNA methylation analysis reveals a unique methylation pattern for pleural mesothelioma compared to healthy pleura and other lung diseases.
Clin Epigenetics. 2024 Dec 3;16(1):176. doi: 10.1186/s13148-024-01790-z.
7
The neurocognitive correlates of DTI indicators of white matter disorganization in pediatric moderate-to-severe traumatic brain injury.
Front Hum Neurosci. 2024 Oct 31;18:1470710. doi: 10.3389/fnhum.2024.1470710. eCollection 2024.
8
METTL16 Promotes Stability of SYNPO2L mRNA and leading to Cancer Cell Lung Metastasis by Secretion of COL10A1 and attract the Cancer-Associated Fibroblasts.
Int J Biol Sci. 2024 Aug 1;20(11):4128-4145. doi: 10.7150/ijbs.95375. eCollection 2024.
9
Bariatric-induced microbiome changes alter MASLD development in association with changes in the innate immune system.
Front Microbiol. 2024 Aug 9;15:1407555. doi: 10.3389/fmicb.2024.1407555. eCollection 2024.
10
Single-cell EpiChem jointly measures drug-chromatin binding and multimodal epigenome.
Nat Methods. 2024 Sep;21(9):1624-1633. doi: 10.1038/s41592-024-02360-0. Epub 2024 Jul 18.
本文引用的文献
1
APPROXIMATING POWER OF THE UNCONDITIONAL TEST FOR CORRELATED BINARY PAIRS.
Commun Stat Simul Comput. 1998;27(2):553-564. doi: 10.1080/03610919808813494.
2
Expected Power for the False Discovery Rate with Independence.
Commun Stat Theory Methods. 2008 Jan;37(12):1855-1866. doi: 10.1080/03610920801893731.
3
Note on the sampling error of the difference between correlated proportions or percentages.
Psychometrika. 1947 Jun;12(2):153-7. doi: 10.1007/BF02295996.
4
Fast Computation by Block Permanents of Cumulative Distribution Functions of Order Statistics from Several Populations.
Commun Stat Theory Methods. 2008 Jan 1;37(18):2815-2824. doi: 10.1080/03610920802001896.
5
Exploring the information in p-values for the analysis and planning of multiple-test experiments.
Biometrics. 2007 Jun;63(2):483-95. doi: 10.1111/j.1541-0420.2006.00704.x.
6
Two-modality mammography may confer an advantage over either full-field digital mammography or screen-film mammography.
Acad Radiol. 2007 Jun;14(6):670-6. doi: 10.1016/j.acra.2007.02.011.
7
Approximate sample size calculations with microarray data: an illustration.
Stat Appl Genet Mol Biol. 2006;5:Article25. doi: 10.2202/1544-6115.1227. Epub 2006 Oct 9.
8
Diagnostic performance of digital versus film mammography for breast-cancer screening.
N Engl J Med. 2005 Oct 27;353(17):1773-83. doi: 10.1056/NEJMoa052911. Epub 2005 Sep 16.
9
Sample size for FDR-control in microarray data analysis.
Bioinformatics. 2005 Jul 15;21(14):3097-104. doi: 10.1093/bioinformatics/bti456. Epub 2005 Apr 21.
10
Comparison of standard and double reading and computer-aided detection (CAD) of interval cancers at prior negative screening mammograms: blind review.
Br J Cancer. 2003 Nov 3;89(9):1645-9. doi: 10.1038/sj.bjc.6601356.
Zotero 插件