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False Discovery Rate Smoothing
| Content Provider | Scilit |
|---|---|
| Author | Tansey, Wesley Koyejo, Oluwasanmi Poldrack, Russell Scott, James G. |
| Copyright Year | 2018 |
| Description | Journal: Journal of the American Statistical Association We present false discovery rate (FDR) smoothing, an empirical-Bayes method for exploiting spatial structure in large multiple-testing problems. FDR smoothing automatically finds spatially localized regions of significant test statistics. It then relaxes the threshold of statistical significance within these regions, and tightens it elsewhere, in a manner that controls the overall false discovery rate at a given level. This results in increased power and cleaner spatial separation of signals from noise. The approach requires solving a nonstandard high-dimensional optimization problem, for which an efficient augmented-Lagrangian algorithm is presented. In simulation studies, FDR smoothing exhibits state-of-the-art performance at modest computational cost. In particular, it is shown to be far more robust than existing methods for spatially dependent multiple testing. We also apply the method to a dataset from an fMRI experiment on spatial working memory, where it detects patterns that are much more biologically plausible than those detected by standard FDR-controlling methods. All code for FDR smoothing is publicly available in Python and R (https://github.com/tansey/smoothfdr). Supplementary materials for this article are available online. |
| Related Links | http://arxiv.org/pdf/1411.6144 |
| Ending Page | 1171 |
| Page Count | 16 |
| Starting Page | 1156 |
| ISSN | 01621459 |
| e-ISSN | 1537274X |
| DOI | 10.1080/01621459.2017.1319838 |
| Journal | Journal of the American Statistical Association |
| Issue Number | 523 |
| Volume Number | 113 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2018-06-05 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of the American Statistical Association Statistics and Probability Empirical Bayes False Discovery Rate Multiple Hypothesis Testing Spatial Smoothing |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |
