A comprehensive error rate for multiple testing
classification
🧮 math.ST
stat.TH
keywords
p-valuesarbitraryclosercollectioncomparedcomprehensivecriticismdeciding
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The higher criticism of a family of tests starts with the individual uncorrected p-values of each test. It then requires a procedure for deciding whether the collection of p-values indicates the presence of a real effect and if possible selects the ones that deserve closer scrutiny. This paper investigates procedures in which the ordered p-values are compared to an arbitrary positive and non-decreasing threshold sequence.
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