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CASANOVA: Permutation inference in factorial survival designs

Marc Ditzhaus, Jon Genuneit, Arnold Janssen and Markus Pauly

Biometrics, 2023, vol. 79, issue 1, 203-215

Abstract: We 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.

Date: 2023
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https://doi.org/10.1111/biom.13575

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