Closed testing procedure: Difference between revisions

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==The closed testing principle==

Suppose there are ''k'' hypotheses ''H''₁,..., ''H''_''k'' to be tested and the overall type I error rate is α. The closed testing principle allows the rejection of any one of these elementary hypotheses, say ''H''_''i'', if all possible intersection hypotheses involving ''H''_''i'' can be rejected by using valid local level α tests; the adjusted p-value is the largest among those hypotheses. It controls the [[familywisefamily-wise error rate]] for all the ''k'' hypotheses at level α in the strong sense.

==Example==