Abstract
In clinical trials where the treatment groups correspond to increasing dosages of a substance and the outcome is the possibly right-censored time to a certain event, it is desirable to test for increases or decreases in survival times with increasing dose. Furthermore, it may be of interest to study several endpoints simultaneously. Two asymptotically distribution-free tests are considered: one to test the alternative hypothesis that the survival times are stochastically increasing with increasing dose and another to test the alternative that the survival times are stochastically ordered (either increasing or decreasing) with increasing dose. An important special case concerns the general problem of testing for ordered alternatives with incomplete multivariate (repeated measures) data.
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