Testing treatment effects in the presence of competing risks
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Updated: Jul 19, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Boris Freidlin1, Edward L Korn
1Biometric Research Branch, Division of Cancer Treatment and Diagnosis, National Cancer Institute, 6130 Executive Blvd. EPN 8122, MSC 7434, Bethesda, MD 20892-7434, USA. freidlinb@ctep.nci.nih.gov
Abstract:
Competing risks are often encountered in clinical research. In the presence of multiple failure types, the time to the first failure of any type is typically used as an overall measure of the clinical impact for the patients. On the other hand, use of endpoints based on the type of failure directly related to the treatment mechanism of action allows one to focus on the aspect of the disease targeted by treatment. We review the methodology commonly used for testing failure specific treatment effects. Simulation results demonstrate that the cause-specific log-rank test is robust (in the sense of preserving the nominal level of the test) and has good power properties for testing for differences in the marginal latent failure-time distributions, whereas the use of a popular cumulative incidence based approach may be problematic for this aim.
Insights
In clinical research with multiple failure types, the cause-specific log-rank test effectively evaluates treatment effects on specific outcomes. This method is robust and powerful for analyzing distinct failure times, unlike cumulative incidence approaches.
Area of Science:
- Clinical Trials
- Biostatistics
- Survival Analysis
Background:
- Competing risks are common in clinical research, necessitating careful endpoint selection.
- The time to the first event is often used as an overall measure, but may not reflect treatment-specific effects.
- Failure-specific endpoints are crucial for evaluating treatments targeting particular disease aspects.
Purpose of the Study:
- To review methodologies for testing failure-specific treatment effects in the presence of competing risks.
- To compare the performance of the cause-specific log-rank test and cumulative incidence-based approaches for this purpose.
Main Methods:
- Review of statistical methodologies for analyzing time-to-event data with competing risks.
- Simulation studies to evaluate the robustness and power of different statistical tests.
- Comparison of cause-specific log-rank tests versus cumulative incidence-based methods.
Main Results:
- The cause-specific log-rank test demonstrated robustness in preserving nominal significance levels.
- The cause-specific log-rank test exhibited good power for detecting differences in marginal latent failure-time distributions.
- Cumulative incidence-based approaches were found to be potentially problematic for testing specific failure-time differences.
Conclusions:
- The cause-specific log-rank test is a reliable and powerful tool for assessing treatment effects on specific failure types in competing risks settings.
- Researchers should carefully consider the choice of statistical methods when analyzing failure-specific outcomes in clinical trials.
- The findings suggest that cause-specific log-rank tests are preferable to cumulative incidence methods for evaluating marginal failure-time distributions.
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