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Table 1 Power difference and sample size allocation among three trial settings in Simulation Study I: Treatment A is TULA, Treatment B is CEFTS. The estimated risk of A and B are 0.166 and 0.430 from the existing network meta-analysis

From: Optimal trial design selection: a comparative analysis between two-arm and three-arm trials incorporating network meta-analysis for evaluating a new treatment

  

Sample size allocation in different trial setting

Simulation

  

(1)

(2)

(3)

Power (%)

Power Difference (%)

Risk of Z

N

Z

A

Z

A

B

Z

B

(1)

(2)

(3)

(2) - (1)

(3) - (1)

0.35

80

35

45

39

10

31

41

39

42.6

50.7

55.5

8.1

12.9

0.40

80

35

45

38

10

32

40

40

60.7

69.5

73.3

8.8

12.6

0.45

80

34

46

38

10

32

40

40

76.5

83.6

86.7

7.1

10.2

0.50

80

34

46

38

10

32

40

40

87.7

92.6

94.4

4.9

6.6

0.35

100

44

56

49

10

41

51

49

52.2

60.5

64.0

8.2

11.8

0.40

100

43

57

48

10

42

50

50

71.2

79.4

81.6

8.2

10.4

0.45

100

43

57

48

10

42

50

50

85.6

91.1

92.6

5.5

7.1

0.50

100

43

57

48

10

42

50

50

94.2

96.9

97.5

2.7

3.3

0.35

120

53

67

59

10

51

61

59

60.3

69.1

71.9

8.9

11.6

0.40

120

52

68

58

10

52

60

60

79.6

86.1

87.9

6.5

8.3

0.45

120

51

69

58

10

52

60

60

91.6

95.2

96.0

3.7

4.4

0.50

120

51

69

58

10

52

60

60

97.3

98.6

98.8

1.3

1.6