Table 2.

Operating characteristics of Simon’s two-stage designs and the PP design with type I and type II error rates ≤ 0.10, prior for p = beta(0.2,0.8), p₀=0.2, p₁=0.4

Simon’s Minimax/Optimal 2-Satge
	r1/n1	r/Nmax	PET(p0)	E(N| p0)	α	β
Minimax	3/19	10/36	0.46	28.26	0.086	0.098
Optimal	3/17	10/37	0.55	26.02	0.095	0.097

Predictive Probability
θL	θT	r/Nmax	PET(p0)	E(N| p0)	α	β
0.001	[0.852,0.922]*	10/36	0.86	27.67	0.088	0.094
0.011	[0.830,0.908]	10/37	0.85	25.13	0.099	0.084
0.001	[0.876,0.935]	11/39	0.88	29.24	0.073	0.092
0.001	[0.857,0.923]	11/40	0.86	30.23	0.086	0.075
0.003	[0.837,0.910]	11/41	0.85	30.27	0.100	0.062
0.043	[0.816,0.895]	11/42	0.86	23.56	0.099	0.083
0.001	[0.880,0.935]	12/43	0.88	32.13	0.072	0.074
0.001	[0.862,0.924]	12/44	0.87	33.71	0.085	0.059
0.001	[0.844,0.912]	12/45	0.85	34.69	0.098	0.048
0.032	[0.824,0.898]	12/46	0.86	26.22	0.098	0.068
0.001	[0.884,0.936]	13/47	0.89	35.25	0.071	0.058
0.001	[0.868,0.925]	13/48	0.87	36.43	0.083	0.047
0.001	[0.850,0.914]	13/49	0.86	37.86	0.095	0.038
0.020	[0.832,0.901]	13/50	0.86	30.60	0.100	0.046

^*The numbers within the bracket indicate a closed interval with both endpoints included.