Randomized controlled trials (RCTs) in oncology often allow control group participants to crossover to experimental treatments, a practice that, while often ethically necessary, complicates the accurate estimation of long-term treatment effects. When crossover rates are high or sample sizes are limited, commonly used methods for crossover adjustment (such as the rank-preserving structural failure time model, inverse probability of censoring weights, and two-stage estimation (TSE)) may produce imprecise estimates. Real-world data (RWD) can be used to develop an external control arm for the RCT, although this approach ignores evidence from trial subjects who did not crossover and ignores evidence from the data obtained prior to crossover for those subjects who did. This paper introduces augmented two-stage estimation (ATSE), a method that combines data from non-switching participants in a RCT with an external dataset, forming a 'hybrid non-switching arm'. With a simulation study, we evaluate the ATSE method's effectiveness compared to TSE crossover adjustment and an external control arm approach. Results indicate that, relative to TSE and the external control arm approach, ATSE can increase precision and may be less susceptible to bias due to unmeasured confounding.


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