Modified FDR Controlling Procedure for Multi-Stage Analyses

Two-stage stepup procedures controlling FDR

A two-stage stepup procedure is defined and an explicit formula for the FDR of this procedure is derived under any distributional setting. Sets of critical values are determined that provide a control of the FDR of a two-stage stepup procedure under iid mixture model. A class of two-stage FDR procedures modifying the Benjamini–Hochberg (BH) procedure and containing the one given in Storey et al...

Multiple Testing in a Two-Stage Adaptive Design with Combination Tests Controlling FDR

In many scientific studies requiring simultaneous testing of multiple null hypotheses, it is often necessary to carry out the multiple testing in two stages to decide which of the hypotheses can be rejected or accepted at the first stage and which should be followed up for further testing having combined their p-values from both stages. Unfortunately, no multiple testing procedure is available ...

Controlling the Number of False Positives Using the Benjamini- Hochberg FDR Procedure Paul N. Somerville University of Central Florida Controlling the Number of False Positives Using the Benjamini- Hochberg FDR Procedure

Classes of Multiple Decision Functions Strongly Controlling FWER and FDR.

Two general classes of multiple decision functions, where each member of the first class strongly controls the family-wise error rate (FWER), while each member of the second class strongly controls the false discovery rate (FDR), are described. These classes offer the possibility that optimal multiple decision functions with respect to a pre-specified Type II error criterion, such as the missed...

Stepup Procedures Controlling Generalized Fwer and Generalized Fdr

In many applications of multiple hypothesis testing where more than one false rejection can be tolerated, procedures controlling error rates measuring at least k false rejections, instead of at least one, for some fixed k ≥ 1 can potentially increase the ability of a procedure to detect false null hypotheses. The k-FWER, a generalized version of the usual familywise error rate (FWER), is such a...