Family-wise control implies false-discovery control

Theorem taught in High-dimensional analysis, part of Statistical learning

Family-wise control implies false-discovery control

Type Theorem
Taught in High-dimensional analysis
Part Statistical learning

When all null hypotheses are true (m_0=m), \mathrm{FDR}=\mathrm{FWER}. In general \mathrm{FDR}\le\mathrm{FWER}.

Used in

See also

Null and alternative hypotheses · Rank bound · Benjamini–Hochberg · Benjamini–Hochberg controls the false discovery rate · Why classical methods fail when p > n · Rank of the sample covariance · Regression when p > n · Where high-dimensional columns come from

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