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Strong control of the overall type 1 familywise error rate of the proposed method is enforced by the closed testing principle.
Multiple testing between single arms in a three-armed trial is handeled by the closed testing procedure: If a difference between all three arms is assessed by a global test on significance level 5%, it is possible to use the same level for the three two group comparisons.
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We define the type I and type II errors of a test in this design and show how a prescribed type I error can be maintained by using the closed testing principle in multiple testing.
The closed testing approach yields an error rate of 2%.
The closed testing procedure is used to avoid adjusting the significance level.
The isotonic level sets were analyzed with the closed testing algorithm.
A two-sided 5% significance level was used and the "closed testing procedure" was applied.
The closed testing procedure was applied for multiplicity considerations of multiple primary endpoints.
If the closed test principle could not be applied, we corrected for multiple testing by Tukey Kramer.
To compare the three treatment arms multiple testing is performed according to the closed test procedure.
That is, for a given weighting strategy, the closed test procedure based on parametric weighted tests may fail to reject certain hypotheses that otherwise are rejected by the associated procedure based on weighted Bonferroni tests.
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