title: Deciding whether follow-up studies have replicated findings in a preliminary large-scale omics study.
abstract: We propose a formal method to declare that findings from a primary study have been replicated in a follow-up study. Our proposal is appropriate for primary studies that involve large-scale searches for rare true positives (i.e., needles in a haystack). Our proposal assigns an r value to each finding; this is the lowest false discovery rate at which the finding can be called replicated. Examples are given and software is available.
authors.affiliation: Department of Statistics and Operations Research and ruheller@post.tau.ac.il.
authors.forename: Ruth
authors.initials: R
authors.lastname: Heller
authors.affiliation: Faculty of Industrial Engineering and Management, Technion-Israel Institute of Technology, Haifa 3200003, Israel.
authors.forename: Marina
authors.initials: M
authors.lastname: Bogomolov
authors.affiliation: Department of Statistics and Operations Research and The Sagol School of Neuroscience, Tel-Aviv University, Tel-Aviv 6997801, Israel; and.
authors.forename: Yoav
authors.initials: Y
authors.lastname: Benjamini
keywords: false discovery rate; genome-wide association studies; metaanalysis; multiple comparisons; r value