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Knock-Off

Junwei Lu
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Junwei Lu: Harvard University

Chapter Chapter 21 in Big Data Analysis, 2025, pp 149-153 from Springer

Abstract: Abstract We will continue the discussion of controlling the false discovery rate (FDR). When testing null hypotheses { H 0 j } j = 1 d $$\{H_{0j}\}_{j=1}^d$$ , recall that the FDR is defined as FDR = 𝔼 ( # False Positives # Rejected Hypotheses ) . $$\displaystyle \text{FDR} = \mathbb {E} \bigg (\frac {\# \text{False Positives}}{\# \text{Rejected Hypotheses}} \bigg). $$ In the previous chapter, we discussed the case where the p-values corresponding to the { H 0 j } j = 1 d $$\{H_{0j}\}_{j=1}^d$$ were independent. Here, we consider the more challenging case where the p-values are dependent.

Date: 2025
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DOI: 10.1007/978-3-032-03161-7_21

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