Abstract:
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We discuss logrank test-based methods for efficacy or futility evaluation in group-sequential clinical trials that compare two interventions with respect to two time-to-event outcomes. Evaluation is conducted under two situations: (a) both events are non-composite but one event is fatal, and (b) one event is composite but the other is fatal and non-composite. Based on group-sequential boundaries, we consider several decision-making frameworks for evaluating efficacy or futility. We consider two inferential goals, evaluating if a test intervention is superior to a control intervention on: (i) both outcomes (co-primary endpoints: CPE), and (ii) at least one outcome (multiple primary endpoints: MPE). For the CPE goal, we incorporate the correlations among the outcomes into the calculations for non-binding futility boundaries and sample sizes (or event numbers) as a function of other design parameters, including the mean differences, the number of analyses, and efficacy boundaries. We investigate the operating characteristics of the decision-making frameworks in terms of efficacy/futility boundaries, power, the Type I error rate, sample sizes, event numbers, while varying the number of
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