Table 3.

Operating characteristics of Simon’s two-stage designs and the PP design with type I error rate ≤ 0.05 and type II error rate≤0.20, prior for p = beta(0.6,0.4), p₀=0.6, p₁=0.8

Simon’s Minimax/Optimal 2-Satge
	r1/n1	r/Nmax	PET(p0)	E(N| p0)	α	β
Minimax	8/13	25/35	0.65	20.77	0.050	0.192
Optimal	7/11	30/43	0.70	20.48	0.049	0.198

Predictive Probability
θL	θT	r/Nmax	PET(p0)	E(N| p0)	α	β
[0.075,0.079]	[0.924,0.963]*	25/35	0.94	16.87	0.050	0.1855
0.001	[0.940,0.972]	26/36	0.94	23.16	0.045	0.168
0.001	[0.953,0.978]	27/37	0.96	23.05	0.035	0.191
[0.061,0.067]	[0.925,0.963]	27/38	0.94	18.20	0.050	0.158
0.001	[0.941,0.971]	28/39	0.94	25.12	0.045	0.141
0.001	[0.953,0.978]	29/40	0.96	24.87	0.035	0.161
0.051	[0.927,0.962]	29/41	0.94	19.57	0.0500	0.135
0.001	[0.942,0.971]	30/42	0.94	27.28	0.045	0.119
0.001	[0.954,0.977]	31/43	0.96	26.88	0.035	0.136
0.051	[0.929,0.962]	31/44	0.94	21.40	0.050	0.111

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