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. Author manuscript; available in PMC: 2021 Aug 13.
Published in final edited form as: Revstat Stat J. 2017 Jul;15(3):373–394.

Table 3:

Exact critical values for the Poisson based maximized SPRT, when surveillance does not start until the sample size is large enough to generate D expected events under the null hypothesis. T > D is the upper limit on the sample size. The minimum number of events needed to reject is set to M = 1. The type 1 error is α = 0.05. For some values of T and D, the critical values are conservative with α < 0.05. These are denoted in italics.

D
T 0 1 2 3 4 6 8 10
1.5 2.964971 1.683208 .. .. .. .. .. ..
2 3.046977 2.000158 .. .. .. .. .. ..
2.5 3.110419 2.187328 1.600544 .. .. .. .. ..
3 3.162106 2.317139 1.766484 .. .. .. .. ..
4 3.245004 2.498892 2.089473 1.842319 .. .. .. ..
5 3.297183 2.545178 2.267595 1.936447 1.611553 .. .. ..
6 3.342729 2.546307 2.406809 2.093835 1.921859 .. .. ..
8 3.413782 2.694074 2.572627 2.337771 2.211199 1.829011 .. ..
10 3.467952 2.799333 2.591675 2.484834 2.298373 2.087405 1.834622 ..
12 3.511749 2.880721 2.683713 2.589388 2.415402 2.254018 1.965660 1.755455
15 3.562591 2.970411 2.794546 2.711996 2.556634 2.347591 2.203782 2.020681
20 3.628123 3.082511 2.918988 2.846635 2.717137 2.542045 2.425671 2.260811
25 3.676320 3.159490 3.011001 2.886783 2.827711 2.668487 2.527763 2.432668
30 3.715764 3.223171 3.080629 2.963485 2.911222 2.765594 2.634068 2.553373
40 3.774663 3.313966 3.186878 3.078748 3.030735 2.903286 2.789967 2.684730
50 3.819903 3.381606 3.261665 3.162197 3.117553 2.999580 2.897811 2.802863
60 3.855755 3.434748 3.320749 3.226113 3.162908 3.051470 2.978063 2.890933
80 3.910853 3.515052 3.407923 3.321868 3.247872 3.151820 3.090356 3.019184
100 3.952321 3.574091 3.472610 3.391377 3.321971 3.232345 3.155596 3.109251
120 3.985577 3.620223 3.523446 3.445695 3.379278 3.294843 3.222053 3.177847
150 4.025338 3.675035 3.583195 3.509028 3.446674 3.367227 3.298671 3.238461
200 4.074828 3.742843 3.655984 3.587079 3.528662 3.454679 3.391821 3.336012
250 4.112234 3.792978 3.710128 3.644349 3.588871 3.518954 3.459256 3.406929
300 4.142134 3.832686 3.752749 3.689355 3.636272 3.568952 3.512138 3.462111
400 4.188031 3.893093 3.785930 3.757574 3.707431 3.644405 3.591092 3.544518
500 4.222632 3.938105 3.835264 3.808087 3.760123 3.700032 3.649189 3.605012
600 4.250310 3.973710 3.874183 3.847892 3.801678 3.743656 3.694832 3.652326
800 4.292829 4.028089 3.933363 3.887512 3.864597 3.809685 3.763627 3.723608
1000 4.324917 4.047191 3.977453 3.931529 3.911308 3.858669 3.814122 3.776275