Table 5: N = 120. 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) |
(14, 3; 20,4) (12, 2; 21,4) (12, 2, 3; 21, 4 |
19.8 15.1 14.9 |
20 21 21 |
0.03 0.66 0.68 |
(13, 3; 20, 4) (12, 2; 21,4) (13, 1, 3; 21, 4) |
19.8 15.1 18.2 |
20 21 20 |
0.03 0.66 0.26 |
0.2 (26; 8) |
(16, 6; 26,8) (17, 4; 26,8) (13, 3, 5; 26, 8) |
25.8 21.1 19.3 |
26 26 26 |
0.02 0.54 0.52 |
(16, 6; 26,8) (17, 4; 26,8) (13, 3, 5; 26, 8) |
25.8 21.1 19.3 |
26 26 26 |
0.02 0.54 0.52 |
0.3 (29; 12) |
(16, 8; 29, 12) (22, 8; 29, 12) (19, 7, 9; 29, 12) |
28.8 24.2 22 |
29 29 29 |
0.02 0.68 0.7 |
(16, 8; 29, 12) (22, 8; 29, 12) (19, 7, 9; 29, 12) |
28.8 24.2 22 |
29 29 29 |
0.02 0.68 0.7 |
0.4 (31; 16) |
(20, 12; 29,15) (16, 7; 31, 16) (19, 9, 12; 31, 16) |
28.9 23.1 22.8 |
29 31 31 |
0.01 0.53 0.69 |
(20, 12; 29, 15) (16, 7; 31, 16) (20, 1, 12; 29, 15) |
28.9 23.1 28.9 |
29 31 29 |
0.01 0.53 0.01 |
0.5 (29; 18) |
(15, 11; 29,18) (22, 12; 29,18) (20, 11, 14; 29, 18) |
28.8 24.8 23.5 |
29 29 29 |
0.01 0.59 0.61 |
(15, 11; 29,18) (22, 12; 29, 18) (20, 11, 14; 29, 18) |
28.8 24.8 23.5 |
29 29 29 |
0.01 0.59 0.61 |
0.6 (28; 20) |
(24, 19; 28,20) (17, 12; 28,20) (17, 12, 14; 28, 20) |
28 19.7 19.6 |
28 28 28 |
0.01 0.75 0.76 |
(24, 19; 28,20) (17, 12; 28,20) (17, 12, 14; 28, 20) |
28 19.7 19.6 |
28 28 28 |
0.01 0.75 0.76 |
0.7 (23; 19) |
(19, 16; 23,19) (11, 9; 22, 18) (12, 10, 11; 22, 18) |
22.9 14.3 14.3 |
23 22 22 |
0.03 0.7 0.77 |
(19, 16; 23,19) (11, 9; 22, 18) (12, 10, 11; 22, 18) |
22.9 14.3 14.3 |
23 22 22 |
0.03 0.7 0.77 |