Article
Testing contrasts of quantiles in general factorial designs
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Published: | February 26, 2021 |
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As quantities of interest, we consider the median survival time and more general quantiles in the survival set-up with possibly right-censored observations. Using corresponding estimands, we formulate null hypotheses and determine confidence regions for these survival endpoints. A Wald-type statistic is proposed in the context of general factorial designs, which allows studying main and interaction effects. The test's theoretical properties, such as being asymptotically exact under the null hypothesis and consistent under general alternatives, can be transferred to a permutation counterpart of the test. The latter performs significantly better than the asymptotic test in terms of type-1 error control in case of small sample sizes. Simulation results under various null hypotheses are complemented by power comparisons and an illustrative data analysis.
The authors declare that they have no competing interests.
The authors declare that an ethics committee vote is not required.