Nothing
Lower bounds Upper bounds
Analysis N Z Nominal p Z Nominal p
1 1 -0.24 0.4057 3.01 0.0013
2 1 0.94 0.8267 2.55 0.0054
3 2 2.00 0.9772 2.00 0.0228
Boundary crossing probabilities and expected sample size assume
any cross stops the trial
Upper boundary
Analysis
Theta 1 2 3 Total E{N}
0.0000 0.0013 0.0049 0.0171 0.0233 0.6
0.8104 0.0058 0.0279 0.0872 0.1209 0.8
1.6208 0.0205 0.1038 0.2393 0.3636 0.9
2.4311 0.0595 0.2579 0.3636 0.6810 0.9
3.2415 0.1412 0.4403 0.3185 0.9000 0.8
4.0519 0.2773 0.5353 0.1684 0.9810 0.7
4.8623 0.4574 0.4844 0.0559 0.9976 0.6
5.6727 0.6469 0.3410 0.0119 0.9998 0.5
6.4830 0.8053 0.1930 0.0016 1.0000 0.4
Lower boundary
Analysis
Theta 1 2 3 Total
0.0000 0.4057 0.4290 0.1420 0.9767
0.8104 0.2349 0.3812 0.2630 0.8791
1.6208 0.1138 0.2385 0.2841 0.6364
2.4311 0.0455 0.1017 0.1718 0.3190
3.2415 0.0148 0.0289 0.0563 0.1000
4.0519 0.0039 0.0054 0.0097 0.0190
4.8623 0.0008 0.0006 0.0009 0.0024
5.6727 0.0001 0.0001 0.0000 0.0002
6.4830 0.0000 0.0000 0.0000 0.0000
Lower bounds Upper bounds
Analysis N Z Nominal p Z Nominal p
1 1 -0.24 0.4057 3.01 0.0013
2 1 0.94 0.8267 2.55 0.0054
3 2 2.00 0.9772 2.00 0.0228
Boundary crossing probabilities and expected sample size assume
any cross stops the trial
Upper boundary
Analysis
Theta 1 2 3 Total E{N}
0.0000 0.0013 0.0049 0.0171 0.0233 0.6
0.8104 0.0058 0.0279 0.0872 0.1209 0.8
1.6208 0.0205 0.1038 0.2393 0.3636 0.9
2.4311 0.0595 0.2579 0.3636 0.6810 0.9
3.2415 0.1412 0.4403 0.3185 0.9000 0.8
4.0519 0.2773 0.5353 0.1684 0.9810 0.7
4.8623 0.4574 0.4844 0.0559 0.9976 0.6
5.6727 0.6469 0.3410 0.0119 0.9998 0.5
6.4830 0.8053 0.1930 0.0016 1.0000 0.4
Lower boundary
Analysis
Theta 1 2 3 Total
0.0000 0.4057 0.4290 0.1420 0.9767
0.8104 0.2349 0.3812 0.2630 0.8791
1.6208 0.1138 0.2385 0.2841 0.6364
2.4311 0.0455 0.1017 0.1718 0.3190
3.2415 0.0148 0.0289 0.0563 0.1000
4.0519 0.0039 0.0054 0.0097 0.0190
4.8623 0.0008 0.0006 0.0009 0.0024
5.6727 0.0001 0.0001 0.0000 0.0002
6.4830 0.0000 0.0000 0.0000 0.0000
Bounds
Analysis N a b
1 50 3 20
2 100 7 30
Boundary crossing probabilities and expected sample size assume
any cross stops the trial
Upper boundary
Analysis
Theta 1 2 Total E{N}
0.1 0e+00 0.0000 0.0000 87.5
0.2 9e-04 0.0107 0.0116 99.7
Lower boundary
Analysis
Theta 1 2 Total
0.1 0.2503 0.0717 0.3220
0.2 0.0057 0.0001 0.0058
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