Table 1.
Conditional type I error and power of single-stage standard (unstratified) and stratified designs with n = 53 for (p01, p02, Δ) = (0.65, 0.75, 0.15) and (α*, 1 − β*) = (0.1, 0.9). The standard design has a fixed critical value ā = 41.
m1 | Unstratified
|
Stratified
|
m1 | Unstratified
|
Stratified
|
||||||
---|---|---|---|---|---|---|---|---|---|---|---|
α | 1 − β | a | α | 1 − β | α | 1 − β | a | α | 1 − β | ||
0 | 0.2961 | 0.9947 | 44 | 0.0606 | 0.9215 | 27 | 0.0869 | 0.9081 | 41 | 0.0869 | 0.9081 |
1 | 0.2852 | 0.9939 | 44 | 0.0569 | 0.9142 | 28 | 0.0823 | 0.9011 | 41 | 0.0823 | 0.9011 |
2 | 0.2746 | 0.9930 | 44 | 0.0535 | 0.9065 | 29 | 0.0780 | 0.8938 | 41 | 0.0780 | 0.8938 |
3 | 0.2641 | 0.9919 | 43 | 0.0972 | 0.9517 | 30 | 0.0738 | 0.8862 | 41 | 0.0738 | 0.8862 |
4 | 0.2540 | 0.9908 | 43 | 0.0920 | 0.9467 | 31 | 0.0699 | 0.8782 | 41 | 0.0699 | 0.8782 |
5 | 0.2440 | 0.9896 | 43 | 0.0870 | 0.9414 | 32 | 0.0661 | 0.8699 | 41 | 0.0661 | 0.8699 |
6 | 0.2343 | 0.9882 | 43 | 0.0822 | 0.9357 | 33 | 0.0625 | 0.8612 | 41 | 0.0625 | 0.8612 |
7 | 0.2249 | 0.9866 | 43 | 0.0776 | 0.9296 | 34 | 0.0590 | 0.8523 | 41 | 0.0590 | 0.8523 |
8 | 0.2157 | 0.9849 | 43 | 0.0733 | 0.9232 | 35 | 0.0557 | 0.8430 | 41 | 0.0557 | 0.8430 |
9 | 0.2067 | 0.9830 | 43 | 0.0691 | 0.9163 | 36 | 0.0526 | 0.8334 | 40 | 0.0961 | 0.9049 |
10 | 0.1980 | 0.9810 | 43 | 0.0651 | 0.9091 | 37 | 0.0496 | 0.8236 | 40 | 0.0913 | 0.8981 |
11 | 0.1895 | 0.9787 | 43 | 0.0614 | 0.9015 | 38 | 0.0468 | 0.8134 | 40 | 0.0867 | 0.8909 |
12 | 0.1813 | 0.9763 | 43 | 0.0578 | 0.8935 | 39 | 0.0441 | 0.8029 | 40 | 0.0822 | 0.8835 |
13 | 0.1734 | 0.9736 | 43 | 0.0544 | 0.8851 | 40 | 0.0415 | 0.7922 | 40 | 0.0780 | 0.8757 |
14 | 0.1656 | 0.9707 | 42 | 0.0969 | 0.9368 | 41 | 0.0391 | 0.7812 | 40 | 0.0739 | 0.8677 |
15 | 0.1582 | 0.9676 | 42 | 0.0919 | 0.9311 | 42 | 0.0367 | 0.7699 | 40 | 0.0701 | 0.8593 |
16 | 0.1510 | 0.9642 | 42 | 0.0870 | 0.9250 | 43 | 0.0346 | 0.7584 | 40 | 0.0664 | 0.8506 |
17 | 0.1440 | 0.9606 | 42 | 0.0823 | 0.9186 | 44 | 0.0325 | 0.7467 | 40 | 0.0628 | 0.8417 |
18 | 0.1373 | 0.9566 | 42 | 0.0779 | 0.9119 | 45 | 0.0305 | 0.7347 | 40 | 0.0594 | 0.8325 |
19 | 0.1308 | 0.9525 | 42 | 0.0736 | 0.9048 | 46 | 0.0287 | 0.7225 | 40 | 0.0562 | 0.8230 |
20 | 0.1245 | 0.9480 | 42 | 0.0696 | 0.8973 | 47 | 0.0269 | 0.7102 | 39 | 0.0955 | 0.8886 |
21 | 0.1185 | 0.9432 | 42 | 0.0657 | 0.8895 | 48 | 0.0252 | 0.6977 | 39 | 0.0908 | 0.8813 |
22 | 0.1127 | 0.9382 | 42 | 0.0620 | 0.8813 | 49 | 0.0237 | 0.6850 | 39 | 0.0864 | 0.8738 |
23 | 0.1071 | 0.9328 | 42 | 0.0585 | 0.8727 | 50 | 0.0222 | 0.6722 | 39 | 0.0820 | 0.8659 |
24 | 0.1017 | 0.9271 | 42 | 0.0551 | 0.8638 | 51 | 0.0208 | 0.6592 | 39 | 0.0779 | 0.8578 |
25 | 0.0966 | 0.9211 | 41 | 0.0966 | 0.9211 | 52 | 0.0195 | 0.6462 | 39 | 0.0739 | 0.8495 |
26 | 0.0916 | 0.9148 | 41 | 0.0916 | 0.9148 | 53 | 0.0182 | 0.6330 | 39 | 0.0701 | 0.8408 |