A Simulation Study on the Probability of Correct Selection for Large k Populations

References

• Bechhofer , R. E. ( 1954 ). A single-sample multiple decision procedure for ranking means of normal populations with known variances . The Annals of Mathematical Statistics 25 ( 1 ): 16 – 39 .
   Google Scholar
• Bofinger , E. ( 1990 ). Posterior probability of correct selection . Communications in Statistics: Theory and Methods 19 ( 2 ): 599 – 616 .
   Web of Science ®Google Scholar
• Cui , X. , Wilson , J. ( 2008a ). On the probability of correct selection: A review . Submitted .
   Google Scholar
• Cui , X. , Wilson , J. ( 2008b ). On the probability of correct selection for large k populations with application to microarray data . Biometrical Journal 50 ( 5 ): 870 – 883 .
   PubMed Web of Science ®Google Scholar
• Cui , X. , Wilson , J. ( 2008c ). On how to calculate the probability of correct selection for large k populations . Technical Report 297 , University of California , Riverside .
   Google Scholar
• Cui , X. , Zhao , H. , Wilson , J. ( 2008 ). Optimization of gene selection in microarray exper- iments (Submitted) .
   Google Scholar
• Edwards , H. P. ( 1992 ). Empirical Bayes estimators of probability of correct selection . The Frontiers of Modern Statistical Inference Procedures . American Science Press, Inc .
   Google Scholar
• Hardin , J. , Wilson , J. ( 2008 ). Oligonucleotide expression values are not normally distributed . Biostatistics doi: 10.1093/biostatistics/kxp003 .
   Web of Science ®Google Scholar
• Konishi , T. ( 2004 ). Three-parameter lognormal distribution ubiquitously found in cDNA microarray data and its application to parametric data treatment . BMC Bioinformatics 5 ( 5 ). Available online at http://www.biomedcentral.com/1471-2105/5/5
   PubMed Web of Science ®Google Scholar
• McCulloch , C. E. , Dechter , A. ( 1985 ). An empirical Bayes approach to estimating the probability of correct selection . Communications in Statistics: Simulation and Computation 14 ( 1 ): 173 – 186 .
   Web of Science ®Google Scholar
• Olkin , I. , Sobel , M. , Tong , Y. L. ( 1982 ). Bounds for a k-fold integral for location and scale parameter models with applications to statistical ranking and selection problems . In: Gupta , S. S. , Berger , J. O. , eds. Statistical Decision Theory and Related Topics III . Vol. 2 . New York : Academic Press , pp. 193 – 212 .
   Google Scholar