Closed testing procedure: Difference between revisions

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The closed testing principle: added short description of the adjusted p-value
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{{primary source|date=June 2012}}
In [[statistics]], the '''closed testing procedure'''<ref>{{cite journal | doi = 10.1093/biomet/63.3.655 | last1 = Marcus | first1 = R | last2 = Peritz | first2 = E | last3 = Gabriel | first3 = KR | author3-link=K. Ruben Gabriel | year = 1976 | title = On closed testing procedures with special reference to ordered analysis of variance | journal = Biometrika | volume = 63 | issue = 3 | pages = 655–660 |jstor=2335748}}</ref> is a general method for performing more than one [[Statistical hypothesis testing|hypothesis test]] simultaneously.
 
==The closed testing principle==
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The [[Holm–Bonferroni method]] is a special case of a closed test procedure for which each intersection null hypothesis is tested using the simple Bonferroni test. As such, it controls the [[familywise error rate]] for all the ''k'' hypotheses at level α in the strong sense.
 
Multiple test procedures developed using the graphical approach for constructing and illustrating multiple test procedures<ref>{{cite journal | doi = 10.1002/sim.3495 | last1 = Bretz | first1 = F | last2 = Maurer | first2 = W | last3 = Brannath | first3 = W | last4 = Posch | first4 = M | year = 2009 | title = A graphical approach to sequentially rejective multiple test procedures | journal = [[Stat Med]] | volume = 28 | issue = 4 | pages = 586-604586–604 | s2cid = 12068118 }}</ref> are a subclass of closed testing procedures.
 
==See also==