Table 3: N = 80. Designs for testing H0:p p0 vs. H1:p > p0 with = 0:05 and power at least 80% at p1 = p0 + 0:2. For each setting the Rows 1-3 contain the Types 1-3 two-stage designs. The left and rights parts are for the first type and second type of optimal designs.

p0
(1-stage)
2-stage minimizing EN0 2-stage minimizing n2
Design EN0 n2 P ET0 Design EN0 n2 P ET0
0.1
(21; 4)
(15, 3; 19,4)
(11, 2; 21,4)
(11, 2, 3; 21,4)
18.9
14
13.9
19
21
21
0.04
0.7
0.71
(15, 3; 19, 4)
(11, 2; 21,4)
(15, 1, 3; 19, 4)
18.9
14
18.2
19
21
19
0.04
0.7
0.21
0.2
(23; 7)
(13, 5; 23,7)
(17, 4; 23,7)
(13, 3, 5; 23,7)
22.8
19.7
17.9
23
23
23
0.02
0.54
0.51
(13, 5; 23,7)
(17, 4; 23,7)
(13, 3, 5; 23, 7)
22.8
19.7
17.9
23
23
23
0.02
0.54
0.51
0.3
(27; 11)
(21, 9; 26, 11)
(14, 5; 27, 11)
(14, 5, 7; 27, 11)
25.8
19.4
19.1
26
27
27
0.04
0.59
0.61
(21, 9; 26, 11)
(14, 5; 27, 11)
(21, 1, 9; 26, 11)
25.8
19.4
25.8
26
27
26
0.04
0.59
0.04
0.4
(29; 15)
(15, 9; 27, 14)
(16, 8; 28, 14)
(16, 8, 11; 28,14)
26.7
19.2
19.1
27
28
28
0.02
0.74
0.74
(15, 9; 27, 14)
(16, 8; 28, 14)
(15, 1, 9; 27, 14)
26.7
19.2
26.7
27
28
27
0.02
0.74
0.02
0.5
(26; 16)
(13, 10; 26,16)
(13, 7; 26, 16)
(13, 7, 10; 26,16)
25.9
19.5
19.4
26
26
26
0.01
0.5
0.51
(13, 10; 26,16)
(13, 7; 26, 16)
(13, 7, 10; 26, 16)
25.9
19.5
19.4
26
26
26
0.01
0.5
0.51
0.6
(25; 18)
(15, 12; 25,18)
(16, 11; 25,18)
(16, 11, 13; 25, 18)
24.8
18.8
18.7
25
25
25
0.02
0.69
0.7
(15, 12; 25,18)
(16, 11; 25,18)
(16, 11, 13; 25, 18)
24.8
18.8
18.7
25
25
25
0.02
0.69
0.7
0.7
(22; 18)
(11, 10; 22,18)
(12, 10; 21,17)
(11, 9, 10; 22,18)
21.8
14.1
14.1
22
21
22
0.01
0.77v 0.72
(11, 10; 22,18)
(12, 10; 21, 17)
(13, 11, 12; 21, 17)
21.8
14.1
14.4
22
21
21
0.01
0.77
0.83