Inferring median survival differences in general factorial designs via permutation tests

Author:

Ditzhaus Marc1ORCID,Dobler Dennis2ORCID,Pauly Markus1

Affiliation:

1. Faculty of Statistics, TU Dortmund University, Dortmund, Germany

2. Department of Mathematics, Vrije Universiteit Amsterdam, Amsterdam, Netherlands

Abstract

Factorial survival designs with right-censored observations are commonly inferred by Cox regression and explained by means of hazard ratios. However, in case of non-proportional hazards, their interpretation can become cumbersome; especially for clinicians. We therefore offer an alternative: median survival times are used to estimate treatment and interaction effects and null hypotheses are formulated in contrasts of their population versions. Permutation-based tests and confidence regions are proposed and shown to be asymptotically valid. Their type-1 error control and power behavior are investigated in extensive simulations, showing the new methods’ wide applicability. The latter is complemented by an illustrative data analysis.

Funder

Deutsche Forschungsgemeinschaft

Publisher

SAGE Publications

Subject

Health Information Management,Statistics and Probability,Epidemiology

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