On familywise type I error control for multiplicity in equivalence trials with three or more treatments.

On familywise type I error control for multiplicity in equivalence trials with three or more treatments.
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在使用三种或更多治疗的等效试验中,针对家庭类型 I 的多重性误差控制。

DOI:
10.1002/bimj.201100073
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发表时间:
2011
期刊:
Biometrical journal. Biometrische Zeitschrift
影响因子:
--
通讯作者:
Rohmel,Joachim
Rohmel,Joachim
中科院分区:
--
文献类型:
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作者:
Rohmel,Joachim

文献摘要

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For the all pairwise comparisons for equivalence ofk(k≥2) treatments Lauzon and Caffo proposed simply to divide the type I error level α byk−1 to achieve a Bonferroni‐based familywise error control when declaring pairs of two treatments equivalent. This rule is shown to be too liberal fork≥4. It works fork=3 yet for reasons not considered by Lauzon and Caffo. Based on the two one‐sided testing procedures and using the closure test principle we develop valid alternatives based on Bonferroni's inequality. The setHof intersection hypotheses reveals a rich structure, leading to the possibility to presentHas a directed acyclic graph (DAG). This in turn allows using some graph theoretical theorems and eases proving properties of the resulting multiple testing problems.