6533b825fe1ef96bd1282634

RESEARCH PRODUCT

Multiple Hypotheses Testing

Gerhard HommelGudrun Bernhard

subject

Structure (mathematical logic)Theoretical computer scienceEfficient algorithmComputer scienceMultiple comparisons problemMultiple hypothesesClosure (topology)Control (linguistics)Test (assessment)

description

The paper is mainly concerned with multiple testing procedures which control a given multiple level α. General concepts for this purpose are the closure test and a modification which is independent of the special structure of hypotheses and tests. We consider improvements of this modification using information about the logical dependences (redundancies) within the system of hypotheses and present an efficient algorithm. Finally, we discuss some problems which are specific for hierarchical systems of hypotheses, e.g. in model search.

yearjournalcountryeditionlanguage
1993-01-01
https://doi.org/10.1007/978-3-642-99766-2_10