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CASANOVA: Permutation inference in factorial survival designs

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  • Marc Ditzhaus
  • Jon Genuneit
  • Arnold Janssen
  • Markus Pauly

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.

Suggested Citation

  • Marc Ditzhaus & Jon Genuneit & Arnold Janssen & Markus Pauly, 2023. "CASANOVA: Permutation inference in factorial survival designs," Biometrics, The International Biometric Society, vol. 79(1), pages 203-215, March.
    • Handle: RePEc:bla:biomet:v:79:y:2023:i:1:p:203-215
    DOI: 10.1111/biom.13575
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    References listed on IDEAS

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    1. Markus Pauly & Edgar Brunner & Frank Konietschke, 2015. "Asymptotic permutation tests in general factorial designs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 77(2), pages 461-473, March.
    2. Dennis Dobler & Markus Pauly & ThomasH. Scheike, 2019. "Confidence bands for multiplicative hazards models: Flexible resampling approaches," Biometrics, The International Biometric Society, vol. 75(3), pages 906-916, September.
    3. Marc Ditzhaus & Arnold Janssen, 2020. "Bootstrap and permutation rank tests for proportional hazards under right censoring," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(3), pages 493-517, July.
    4. R.D. Gill, 1980. "Censoring and Stochastic Integrals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(2), pages 124-124, June.
    5. Arnold Janssen & Claus‐Dieter Mayer, 2001. "Conditional Studentized Survival Tests for Randomly Censored Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(2), pages 283-293, June.
    6. Michael Brendel & Arnold Janssen & Claus-Dieter Mayer & Markus Pauly, 2014. "Weighted Logrank Permutation Tests for Randomly Right Censored Life Science Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(3), pages 742-761, September.
    7. Zhongxue Chen & Hanwen Huang & Peihua Qiu, 2016. "Comparison of multiple hazard rate functions," Biometrics, The International Biometric Society, vol. 72(1), pages 39-45, March.
    8. Huimin Li & Dong Han & Yawen Hou & Huilin Chen & Zheng Chen, 2015. "Statistical Inference Methods for Two Crossing Survival Curves: A Comparison of Methods," PLOS ONE, Public Library of Science, vol. 10(1), pages 1-18, January.
    9. Yukun Liu & Guosheng Yin, 2017. "Partitioned log-rank tests for the overall homogeneity of hazard rate functions," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(3), pages 400-425, July.
    10. Ditzhaus, Marc & Pauly, Markus, 2019. "Wild bootstrap logrank tests with broader power functions for testing superiority," Computational Statistics & Data Analysis, Elsevier, vol. 136(C), pages 1-11.
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