The comparison of proportions is considered in the asymptotic generalized linear model with the odds ratio as effect size. When several doses are compared with a control assuming an order restriction, a Williams-type trend test can be used. As an alternative, two variants of the closed testing approach are considered, one using global Williams-tests in the partition hypotheses, one with pairwise contrasts. Their advantages in terms of power and simplicity are demonstrated. Related R-code is provided.

翻译：比例比较在无症状通用线性模型中考虑,比对率比作为效果大小。当将若干剂量与假定有定单限制的控制措施作比较时,可以使用威廉姆斯类型的趋势测试。作为一种替代办法,可以考虑闭合测试方法的两个变体,一个在分区假设中使用全球威廉斯试验,一个则配对对比。在功率和简单性方面展示其优势。提供了相关的R编码。