Abstract
In this paper, a survival study across regions is designed by considering the relationship between the hazard time and the treatment effect with unrecognized heterogeneity which interacts with treatment. The log-rank test is employed for the unrecognized heterogeneity and its interaction with the treatment effect. The test statistic for the overall treatment effect is used to calculate the total sample size for a survival study and the criteria are also proposed to rationalize partition sample size to each region.
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