4.5 Article

CASANOVA: Permutation inference in factorial survival designs

Journal

BIOMETRICS
Volume 79, Issue 1, Pages 203-215

Publisher

WILEY
DOI: 10.1111/biom.13575

Keywords

additive Aalen model; factorial designs; local alternatives; oncology; right censoring

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We propose inference procedures for general factorial designs with time-to-event endpoints, which allows working without restrictive model assumptions as proportional hazards and can detect the crossing points of survival or hazard curves.
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.

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