#statstab #455 False Discovery Rate (FDR) and q-values
Thoughts: The q-value of a test is the expected proportion of false positives among all hypotheses with p-values as small or smaller than that test.
#pvalues #qvalues #FDR #FWER #error
https://www.nonlinear.com/support/progenesis/comet/faq/v2.0/pq-values.aspx
#statstab #377 To adjust, or not to adjust, for multiple comparisons
Thoughts: Not all-encompassing, but it does cover some relevant notions about multiplicity adjustments.
#FDR #FWER #typeI #error #bonferroni #bayesian #multiplecomparisons
https://www.jclinepi.com/article/S0895-4356%2825%2900021-6/fulltext
Here's a really good paper from @[email protected] on methods controlling false discovery rates.
https://doi.org/10.1186/s13059-019-1716-1
While they focus on #genomics, they give a good overview on what #fdr and #fwer controlling methods do and what they're for that's applicable to anyone in any field performing multiple simultaneous hypothesis tests
A practical guide to methods controlling false discoveries in computational biology
In high-throughput studies, hundreds to millions of hypotheses are typically tested. Statistical methods that control the false discovery rate (FDR) have emerged as popular and powerful tools for error rate control. While classic FDR methods use only p values as input, more modern FDR methods have been shown to increase power by incorporating complementary information as informative covariates to prioritize, weight, and group hypotheses. However, there is currently no consensus on how the modern methods compare to one another. We investigate the accuracy, applicability, and ease of use of two classic and six modern FDR-controlling methods by performing a systematic benchmark comparison using simulation studies as well as six case studies in computational biology. Methods that incorporate informative covariates are modestly more powerful than classic approaches, and do not underperform classic approaches, even when the covariate is completely uninformative. The majority of methods are successful at controlling the FDR, with the exception of two modern methods under certain settings. Furthermore, we find that the improvement of the modern FDR methods over the classic methods increases with the informativeness of the covariate, total number of hypothesis tests, and proportion of truly non-null hypotheses. Modern FDR methods that use an informative covariate provide advantages over classic FDR-controlling procedures, with the relative gain dependent on the application and informativeness of available covariates. We present our findings as a practical guide and provide recommendations to aid researchers in their choice of methods to correct for false discoveries.