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

Methodology 2024-01-25 v1

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.

Keywords

Cite

@article{arxiv.2401.13010,
  title  = {Bartholomew's trend test -- approximated by a multiple contrast test},
  author = {Ludwig A. Hothorn},
  journal= {arXiv preprint arXiv:2401.13010},
  year   = {2024}
}

Comments

1 figure, 5 tables

R2 v1 2026-06-28T14:25:07.911Z