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.

翻译：Bartholomew趋势检验属于等值回归模型的广泛类别，特别是针对单一定性因素（如剂量水平）。通过利用ANOVA F检验的最大对比检验近似，结合针对总体均值的调整以及有序约束下的相邻违规值合并估计，本文提出了一种更易于使用的近似方法。