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Table 2 Comparison between the proposed two-stage minimax and optimal designs with survival endpoint and Belin’s two-stage optimal design with survival endpoint, when the follow-up time is restricted to the clinically meaningful follow-up time tc=1 year

From: Two-stage optimal designs with survival endpoint when the follow-up time is restricted

   Minimax design Optimal design Belin
Power θ n 1 n c 1 c E S S 0 n 1 n c 1 c E S S 0 n E S S 0
90% 15 28 52 -0.10 -1.64 39.1 26 56 -0.30 -1.64 37.5 53 42.3
95% 15 36 65 -0.09 -1.64 49.5 33 70 -0.29 -1.64 47.3 65 52.6
90% 30 30 52 0.30 -1.64 43.6 30 55 -0.04 -1.64 42.2 53 44.6
95% 30 40 65 0.19 -1.64 54.3 40 69 -0.20 -1.64 52.2 65 54.8
90% 50 34 52 0.51 -1.64 46.5 32 54 0.32 -1.63 45.7 52 47.0
95% 50 44 65 0.46 -1.64 58.2 42 68 0.17 -1.64 56.7 64 57.5
  1. The null survival probability at 1 year is S0(tc)=50%, and the hazard ratio is 2. Patient accrual rate θ is set as 15, 30, or 50 per year