Classes of Multiple Decision Functions Strongly Controlling FWER and FDR

Details Classes of Multiple Decision Functions Strongly Controlling FWER and FDR Classes of Multiple Decision Functions Strongly Controlling FWER and FDR

2010-07-15

arxiv.org/abs/1007.2612v1

Mathematics

Statistics Theory

19 pages

Scientific paper

This paper provides 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). These classes offer the possibility that an optimal multiple decision function with respect to a pre-specified criterion, such as the missed discovery rate (MDR), could be found within these classes. Such multiple decision functions can be utilized in multiple testing, specifically, but not limited to, the analysis of high-dimensional microarray data sets.

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