Shortcuts for Locally Consonant Closed Test Procedures

摘要: The closed testing principle provides a general and simple framework to construct powerful multiple test procedures for k elementary null hypotheses while controlling the familywise error rate in strong sense. However, has disadvantage of leading evaluation O(2k) intersection hypotheses. Multiple based on may thus require substantial computational efforts. Consonant unrestricted have advantage rejecting at least one hypothesis whenever global is rejected admit shortcuts size k. If are restricted by logical constraints, closure common tests, such as max-t or min-p not be consonant usual In this article we introduce weaker consonance property, denoted local consonance, show that many with satisfy condition...