When long-term survivors are present in both groups, conventional and non-proportional hazards tests exhibit non-monotonic power as follow-up time increases, whereas correctly specified parametric cure models show monotonic power gains and highest performance at long follow-up.
Data Maturity and Follow-Up in Time-to-Event Analyses
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A comparative study of two-sample hypothesis tests in the presence of long-term survivors
When long-term survivors are present in both groups, conventional and non-proportional hazards tests exhibit non-monotonic power as follow-up time increases, whereas correctly specified parametric cure models show monotonic power gains and highest performance at long follow-up.