TABLE 1.

Type I error rate and power when using a noninformative prior (NP), self-adapting mixture (SAM) prior, mixture prior with $\tilde{w}=0.5$ (Mix50), power prior (PP), and commensurate prior (CP) with a binary endpoint.

Scenario	$\theta$	${\theta }_t$	NP	SAM	Mix50	PP	CP
Case 1: ${\theta }_h=0.4$
Congruent
1.1a	0.4	0.4	0.051	0.051	0.050	0.050	0.051
1.2	0.4	0.5	0.636	0.862	0.878	0.875	0.874
1.3	0.41	0.51	0.655	0.866	0.903	0.904	0.910
1.4	0.38	0.48	0.636	0.822	0.828	0.820	0.817
Incongruent
1.5a	0.5	0.5	0.056	0.160	0.221	0.271	0.329
1.6a	0.55	0.55	0.056	0.084	0.122	0.262	0.200
1.7	0.3	0.4	0.657	0.652	0.480	0.490	0.413
1.8	0.25	0.35	0.690	0.739	0.600	0.446	0.474
Case 2: ${\theta }_h=0.3$
Congruent
2.1a	0.3	0.3	0.050	0.051	0.050	0.051	0.050
2.2	0.3	0.4	0.657	0.888	0.894	0.890	0.902
2.3	0.31	0.41	0.649	0.882	0.908	0.912	0.912
2.4	0.28	0.38	0.667	0.852	0.854	0.839	0.840
Incongruent
2.5a	0.4	0.4	0.048	0.140	0.208	0.260	0.310
2.6a	0.45	0.45	0.049	0.079	0.122	0.253	0.186
2.7	0.2	0.3	0.720	0.711	0.544	0.554	0.453
2.8	0.17	0.27	0.773	0.804	0.646	0.544	0.518
Case 3: ${\theta }_h=0.2$
Congruent
3.1a	0.2	0.2	0.051	0.050	0.050	0.050	0.050
3.2	0.2	0.3	0.698	0.881	0.912	0.904	0.902
3.3	0.21	0.31	0.696	0.882	0.922	0.904	0.926
3.4	0.18	0.28	0.707	0.867	0.886	0.868	0.874
Incongruent
3.5a	0.3	0.3	0.058	0.144	0.211	0.264	0.304
3.6a	0.35	0.35	0.054	0.074	0.136	0.251	0.190
3.7	0.1	0.2	0.832	0.796	0.658	0.638	0.550
3.8	0.07	0.17	0.898	0.876	0.782	0.635	0.688

^aType I error.