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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