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Model-Free Approach to Evaluate a Censored Intermediate Outcome as a Surrogate for Overall Survival
Xuan Wang1, Tianxi Cai2, Lu Tian3
1Division of Biostatistics, Department of Population Health Sciences, University of Utah, Salt Lake City, Utah, USA.
Statistics in Medicine
|September 19, 2025
Summary
This study introduces a new statistical method to evaluate if a short-term outcome, like progression-free survival, can predict a long-term outcome, such as overall survival, in cancer clinical trials.
Area of Science:
- Biostatistics
- Clinical Trial Design
- Survival Analysis
Background:
- Clinical trials often need long-term participant follow-up, increasing costs and time.
- Short-term surrogate outcomes are increasingly used to predict long-term primary outcomes.
- Existing statistical methods for evaluating surrogates with time-to-event data are limited.
Purpose of the Study:
- To propose a novel nonparametric approach for evaluating censored surrogate outcomes.
- To assess the treatment effect on a primary time-to-event outcome using a surrogate.
- To define and estimate the proportion of treatment effect explained (PTE) by a surrogate.
Main Methods:
- Developed a nonparametric method for censored time-to-event surrogate and primary outcomes.
- Defined and derived an optimal transformation to estimate the proportion of treatment effect explained (PTE).
- Utilized simulation studies and a real data application (metastatic colorectal cancer) for validation.
Main Results:
- The proposed method is model-free and has relaxed assumptions.
- The approach guarantees the true PTE is within (0, 1).
- Demonstrated effectiveness through simulations and a real-world cancer data analysis.
Conclusions:
- The new nonparametric approach effectively evaluates censored surrogate outcomes for time-to-event data.
- This method offers a flexible and assumption-relaxed alternative to existing techniques.
- Progression-free survival can be a valid surrogate for overall survival in metastatic colorectal cancer.
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