Improving Power in Randomized Controlled Trials with Time-to-Event Endpoints: A Risk-Free Approach
This study addresses the challenge of safely incorporating external high-dimensional prognostic information to enhance the statistical power of randomized controlled trials with time-to-event endpoints, without introducing bias or inflating Type I error. The authors propose a two-stage framework: first constructing a prognostic score using martingale residuals and supervised learning, then integrating this score as a covariate in a nonparametric covariate-adjusted log-rank test and marginal hazard ratio estimation. This approach enables robust utilization of external prognostic data, ensuring unbiased estimation of the marginal hazard ratio and valid Type I error control even under prognostic model misspecification or population heterogeneity. Theoretical analysis shows that the variance reduction is approximately equal to the squared correlation between the prognostic score and the martingale pseudo-outcome, and simulations confirm substantial gains in efficiency—reducing required event counts and increasing power when informative prognostic signals are present.