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Updated: Jan 10, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Diverging conclusions from risk difference and difference in restricted mean survival time in quantifying absolute
Carolien C H M Maas1,2,3, David M Kent3, Avinash G Dinmohamed1,2
1Department of Public Health, Erasmus University Medical Center, Rotterdam, Netherlands.
The difference in restricted mean survival time (ΔRMST) is recommended over the risk difference (RD) for assessing absolute heterogeneous treatment effects in time-to-event data, as RD can lead to mistargeting treatments.
Area of Science:
- Clinical Trials
- Biostatistics
- Survival Analysis
Background:
- Risk-based analyses are increasingly used for heterogeneous treatment effects (HTEs) in clinical trials.
- Traditional assumptions for time-to-event analyses may not hold for absolute treatment effects across risk strata.
- Absolute treatment effects can be measured by risk difference (RD) or difference in restricted mean survival time (ΔRMST).
Purpose of the Study:
- To examine risk-based HTE analyses in time-to-event data.
- To identify patterns of absolute HTE across risk strata.
- To compare the utility of ΔRMST versus RD in guiding treatment decisions.
Main Methods:
- Utilized artificial and empirical time-to-event data.
- Compared RD (difference in Kaplan-Meier estimates at a time point) and ΔRMST (area between Kaplan-Meier curves) across risk strata.
- Explored scenarios with constant hazard ratios (HRs), varying event rates, and risk model discrimination.
Main Results:
- When event rates and discrimination were low, both RD and ΔRMST showed monotonic increases, favoring high-risk patients.
- With increased event rates and/or discrimination, a 'sweet spot' pattern emerged, benefiting intermediate-risk patients.
- RD identified the 'sweet spot' pattern even when ΔRMST favored higher-risk patients, potentially understating benefits and leading to mistargeting.
Conclusions:
- The pattern of HTE assessed by RD can differ significantly from ΔRMST.
- Using RD may lead to suboptimal treatment decisions and mistargeting of therapies.
- ΔRMST is recommended for evaluating absolute HTE in time-to-event data.
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