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. Author manuscript; available in PMC: 2013 Jan 1.
Published in final edited form as: J Biopharm Stat. 2012;22(2):312–328. doi: 10.1080/10543406.2010.536873

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