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Sample size calculations based on ranking and selection in microarray experiments
Authors:Matsui Shigeyuki  Zeng Shu  Yamanaka Takeharu  Shaughnessy John
Institution:Department of Pharmacoepidemiology, School of Public Health, Kyoto University, Yoshidakonoe-cho, Sakyo-ku, Kyoto 606-8501, Japan;Translational Research Informatics Center, Foundation for Biomedical Research and Innovation, 1-5-4 Minatojima-minami, Chuo-ku, Kobe 650-0047, Japan;Insilico Technologies Incorporation, 22-30 Okuike-cho, Ashiya, 650-0003, Japan;Cancer Biostatistics Laboratory, Institute for Clinical Research, National Kyushu Cancer Center, 3-1-1 Notame, Minami-ku, Fukuoka 811-1395, Japan;The Myeloma Institute for Research and Therapy, University of Arkansas for Medical Sciences, 301 West Markham Street, Little Rock, Arkansas 72205, U.S.A.
Abstract:Summary .   We develop formulae to calculate sample sizes for ranking and selection of differentially expressed genes among different clinical subtypes or prognostic classes of disease in genome-wide screening studies with microarrays. The formulae aim to control the probability that a selected subset of genes with fixed size contains enough truly top-ranking informative genes, which can be assessed on the basis of the distribution of ordered statistics from independent genes. We provide strategies for conservative designs to cope with issues of unknown number of informative genes and unknown correlation structure across genes. Application of the formulae to a clinical study for multiple myeloma is given.
Keywords:Gene expression  Microarrays  Ranking  Sample size  Selection
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