A comparative study to alternatives to the log-rank test.

Crossing hazards Log-rank Non-proportional hazards Simulation study Survival analysis

Journal

Contemporary clinical trials
ISSN: 1559-2030
Titre abrégé: Contemp Clin Trials
Pays: United States
ID NLM: 101242342

Informations de publication

Date de publication:
05 2023
Historique:
received: 09 11 2022
revised: 17 03 2023
accepted: 20 03 2023
medline: 8 5 2023
pubmed: 28 3 2023
entrez: 27 3 2023
Statut: ppublish

Résumé

Studies to compare the survival of two or more groups using time-to-event data are of high importance in medical research. The gold standard is the log-rank test, which is optimal under proportional hazards. As the latter is no simple regularity assumption, we are interested in evaluating the power of various statistical tests under different settings including proportional and non-proportional hazards with a special emphasis on crossing hazards. This challenge has been going on for many years now and multiple methods have already been investigated in extensive simulation studies. However, in recent years new omnibus tests and methods based on the restricted mean survival time appeared that have been strongly recommended in biometric literature. Thus, to give updated recommendations, we perform a vast simulation study to compare tests that showed high power in previous studies with these more recent approaches. We thereby analyze various simulation settings with varying survival and censoring distributions, unequal censoring between groups, small sample sizes and unbalanced group sizes. Overall, omnibus tests are more robust in terms of power against deviations from the proportional hazards assumption. We recommend considering the more robust omnibus approaches for group comparison in case of uncertainty about the underlying survival time distributions.

Sections du résumé

BACKGROUND
Studies to compare the survival of two or more groups using time-to-event data are of high importance in medical research. The gold standard is the log-rank test, which is optimal under proportional hazards. As the latter is no simple regularity assumption, we are interested in evaluating the power of various statistical tests under different settings including proportional and non-proportional hazards with a special emphasis on crossing hazards. This challenge has been going on for many years now and multiple methods have already been investigated in extensive simulation studies. However, in recent years new omnibus tests and methods based on the restricted mean survival time appeared that have been strongly recommended in biometric literature.
METHODS
Thus, to give updated recommendations, we perform a vast simulation study to compare tests that showed high power in previous studies with these more recent approaches. We thereby analyze various simulation settings with varying survival and censoring distributions, unequal censoring between groups, small sample sizes and unbalanced group sizes.
RESULTS
Overall, omnibus tests are more robust in terms of power against deviations from the proportional hazards assumption.
CONCLUSION
We recommend considering the more robust omnibus approaches for group comparison in case of uncertainty about the underlying survival time distributions.

Identifiants

pubmed: 36972865
pii: S1551-7144(23)00088-5
doi: 10.1016/j.cct.2023.107165
pii:
doi:

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

107165

Informations de copyright

Copyright © 2023. Published by Elsevier Inc.

Déclaration de conflit d'intérêts

Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Auteurs

Ina Dormuth (I)

Department of Statistics, TU Dortmund University, Dortmund, Germany. Electronic address: ina.dormuth@tu-dortmund.de.

Tiantian Liu (T)

Technion - Israel Institute of Technology, Haifa, Israel.

Jin Xu (J)

East China Normal University, Shanghai, China.

Markus Pauly (M)

Department of Statistics, TU Dortmund University, Dortmund, Germany; Research Center Trustworthy Data Science and Security, UA Ruhr, Dortmund, Germany.

Marc Ditzhaus (M)

Department of Mathematics, Otto von Guericke University Magdeburg, Magdeburg, Germany.

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