Bartholomew's trend test -- approximated by a multiple contrast test

Abstract

Bartholomew's trend test belongs to the broad class of isotonic regression models, specifically with a single qualitative factor, e.g. dose levels. Using the approximation of the ANOVA F-test by the maximum contrast test against grand mean and pool-adjacent-violator estimates under order restriction, an easier to use approximation is proposed.

1 figure, 5 tables