Multiple confidence intervals for selected parameters adjusted for the false coverage rate in monotone dose-response microarray experiments

Benjamini and Yekutieli (2005) 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.