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 |