6533b7dcfe1ef96bd127288c

RESEARCH PRODUCT

Multiple testing of pairs of one-sided hypotheses

Peter HacklE. SonnemannG. HommelPeter Bauer

subject

Statistics and ProbabilityCombinatoricsProbability theoryOne sidedTest proceduresStatisticsMultiple comparisons problemPoint (geometry)Disjoint setsStatistics Probability and UncertaintyFork (software development)MathematicsTest (assessment)

description

Two-sided test procedures fork real parameters should point out in the case of rejection whether the left or the right alternative can be assumed. This sets up a multiple testing problem fork pairs of one-sided hypotheses. Holm's (1979, Scandinavian Journal of Statistics 6:65–70) sequentially rejective test provides a solution the critical levels of which are slightly improved. Considerable improvement is obtained when the hypotheses are redefined to be disjoint in pairs.

https://doi.org/10.1007/bf01894737