Ditzhaus, MarcGenuneit, JonJanssen, ArnoldPauly, Markus2023-04-172023-04-172021-10-05http://hdl.handle.net/2003/4133910.17877/DE290R-23182We propose inference procedures for general factorial designs with time-to-event endpoints. Similar to additive Aalen models, null hypotheses are formulated in terms of cumulative hazards. Deviations are measured in terms of quadratic forms in Nelson–Aalen-type integrals. Different from existing approaches, this allows to work without restrictive model assumptions as proportional hazards. In particular, crossing survival or hazard curves can be detected without a significant loss of power. For a distribution-free application of the method, a permutation strategy is suggested. The resulting procedures' asymptotic validity is proven and small sample performances are analyzed in extensive simulations. The analysis of a data set on asthma illustrates the applicability.enBiometrics;79(1)https://creativecommons.org/licenses/by/4.0/Additive Aalen modelFactorial designsLocal alternativesOncologyRight censoring310article (journal)