Journal of Data Science

In this paper, the problem of determining which treatments are statistically significant when compared with a zero-dose or placebo control in a dose-response study is considered. Nonparametric meth- ods developed for the commonly used multiple comparison problem whenever the Jonckheere trend test (JT) is appropriate is extended to the multiple comparisons to control problem. We present four closed testing methods, of which two use an AUC regression model approach for determining the treatment arms that are statistically different from the zero-dose control. A simulation study is performed to compare the proposed methods with two existing rank-based nonparametric mul- tiple comparison procedures. The method is further illustrated using a problem from a clinical setting.