Quantile-function based null distribution in resampling based multiple testing

Statistical Applications in Genetics and Molecular Biology

Volumn 5, Issue 1, 2006, Pages

  Van Der Laan, Mark J ^a   Hubbard, Alan E ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Asymptotic control; Bootstrap; Multiple testing; Null distribution; Quantile quantile function; Type I error rate

Indexed keywords

ANALYTICAL ERROR; ARTICLE; DATA ANALYSIS; INFORMATION PROCESSING; NULL HYPOTHESIS; OBSERVATIONAL STUDY; SAMPLING; STATISTICAL ANALYSIS; STATISTICAL DISTRIBUTION; STATISTICAL SIGNIFICANCE; UNIVARIATE ANALYSIS; CHI SQUARE DISTRIBUTION; COMPARATIVE STUDY; COMPUTER SIMULATION; EPIDEMIOLOGY; GENOMICS; PROBABILITY; PROTEOMICS; STATISTICAL MODEL; STATISTICS;

CHI-SQUARE DISTRIBUTION; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; EPIDEMIOLOGIC RESEARCH DESIGN; GENOMICS; MODELS, STATISTICAL; PROBABILITY; PROTEOMICS; SAMPLING STUDIES; SELECTION BIAS; STATISTICAL DISTRIBUTIONS;

EID: 33646770261     PISSN: 15446115     EISSN: 15446115     Source Type: Journal    
DOI: 10.2202/1544-6115.1199     Document Type: Article

References (14)

1. Sandrine Dudoit, Mark J. van der Laan, and Katherine S. Pollard. Multiple Testing. Part I. Single-Step Procedures for Control of General Type I Error Rates. Statistical Applications in Genetics and Molecular Biology, 3(1), 2004. URL http://www.bepress.com/sagmb/vol3/iss1/art13. Article 13.
2. B. Efron, R. Tibshirani, J.D. Storey, and V. Tusher. Empirical Bayes Analysis of a Microarray Experiment. Journal of the American Statistical Association, 96(456):1151:1160, 2001.
3. C.R. Genovese and L. Wasserman. Exceedance Control of the False Discovery Proportion. Technical Report 762, Department of Statistics, Carnegie Mellon University, July 2003. URL http://www.stat.cmu.edu/cmu-stats.
4. R. D. Gill. Non- and semi-parametric maximum likelihood estimators and the von Mises method. I. Scand. J. Statist., 16(2):97-128, 1989. With a discussion by J. A. Wellner and J. Præstgaard and a reply by the author.
5. E.L. Lehmann and J.P Romano. Generalizations of the Family-wise Error Rate. Annals of Statistics, 33:1138:1154, 2005.
6. Katherine S. Pollard and Mark J. van der Laan. Resampling-based Multiple Testing: Asymptotic Control of Type I error and Applications to Gene Expression Data. Technical Report 121, Division of Biostatistics, University of California, Berkeley, June 2003. URL http://www.bepress.com/ucbbiostat/paper121.
7. D.R. Skibola, M.T. Smith, P.M. Bracci, A.E. Hubbard, L. Agana, S. Chi, and E.A. Holly. Polymorphisms in ghrelin and neuropeptide y genes are associated with non-hodgkin lymphoma. Scand. J. Statist., 14(5):1251-6, 2005.
8. Mark J. van der Laan, Merrill D. Birkner, and Alan E. Hubbard. Empirical bayes and resampling based multiple testing procedure controlling tail probability of the proportion of false positives. Statistical Applications in Genetics and Molecular Biology, 4(1), 2004a. URL http://www.bepress.com/sagmb/ vol4/iss1/art29. Article 29.
9. Mark J. van der Laan, Sandrine Dudoit, and Katherine S. Pollard. Augmentation Procedures for Control of the Generalized Family-Wise Error Rate and Tail Probabilities for the Proportion of False Positives. Technical Report 1, 2004b. URL http://www.bepress.com/sagmb/vol3/iss1/art15. Article 15.
10. Mark J. van der Laan, Sandrine Dudoit, and Katherine S. Pollard. Multiple Testing. Part II. Step-Down Procedures for Control of the Family-Wise Error Rates. Statistical Applications in Genetics and Molecular Biology, 3(1), 2004c. URL http://www.bepress.com/sagmb/vol3/iss1/art14. Article 14.
11. Mark J. van der Laan, Sandrine Dudoit, and Katherine S. Pollard. Multiple Testing. Part III. Procedures for Control of the Generalized Family-Wise Error Rate and Proportion of False Positives. Technical Report 141, Division of Biostatistics, University of California, Berkeley, January 2004d. URL http://www.bepress.com/ucbbiostat/paper141.
12. A. van der Vaart and J. Wellner. Weak Convergence and Empirical Processes. Springer-Verlag, New York, 1996.
13. P. H. Westfall and S. S. Young. Resampling-based Multiple Testing: Examples and Methods for p-value Adjustment. John Wiley and Sons, 1993.
14. Z. Yu and M.J. van der Laan. Construction of counterfactuals and the g-computation formula. Technical report, Division of Biostatistics, UC Berkeley, 2002.