title: Multiple confidence intervals for selected parameters adjusted for the false coverage rate in monotone dose-response microarray experiments.
abstract: Benjamini and Yekutieli () introduced the concept of the false coverage-statement rate (FCR) to account for selection when the confidence intervals (CIs) are constructed only for the selected parameters. Dose-response analysis in dose-response microarray experiments is conducted only for genes having monotone dose-response relationship, which is a selection problem. In this paper, we consider multiple CIs for the mean gene expression difference between the highest dose and control in monotone dose-response microarray experiments for selected parameters adjusted for the FCR. A simulation study is conducted to study the performance of the method proposed. The method is applied to a real dose-response microarray experiment with 16, 998 genes for illustration.
authors.affiliation: Department of Mathematics and Statistics, Acadia University, Wolfville, NS, Canada B4P 2R6.
authors.forename: Jianan
authors.initials: J
authors.lastname: Peng
authors.affiliation: S3RI and School of Mathematics, University of Southampton, SO17 1BJ, UK.
authors.forename: Wei
authors.initials: W
authors.lastname: Liu
authors.affiliation: Novartis Pharma AG, 4002 Basel, Switzerland.|School of Statistics and Management, Shanghai University of Finance and Economics, People's Republic of China.
authors.forename: Frank
authors.initials: F
authors.lastname: Bretz
authors.affiliation: I-BioStat, Centrum voor Statistiek (CenStat), Universiteit Hasselt, Campus Diepenbeek, Agoralaan Gebouw D, B-3590, Diepenbeek, Belgium.
authors.forename: Ziv
authors.initials: Z
authors.lastname: Shkedy
mesh_terms: D000465:Algorithms; D001699:Biometry / Q000379:methods*; D003198:Computer Simulation; D016001:Confidence Intervals; D004305:Dose-Response Relationship, Drug; D020869:Gene Expression Profiling; D020411:Oligonucleotide Array Sequence Analysis
keywords: Dose-response study; FCR; FDR; Order-restricted inference; Selective inference