Table 4.

Sensitivity analyses of hyperprior parameters α, β on the operating characteristics of the BaCIS model: Posterior probability and the effective sample size (ESS) with different priors of τ₃ (θ_t = 0.92, ϕ₁ = 0.1, ϕ₂ = 0.3) using the same outcomes of (1/25, 3/25, 6/25, 7/25, 9/25).

Priors	Subgroups
Subgroups	1	2	3	4	5
Observed Response Rates	1/25	3/25	6/25	7/25	9/25
Classification	L	L	H	H	H
α = 50, β = 2	1	2	3	4	5
Prob(pi > ϕ1)	0.251	0.299	1	1	1
Prob(pi > ϕ2)	0	0	0.381	0.422	0.517
Effective sample size (ESS)	33.62	45.07	38.21	40.01	43.24
α = 50, β = 10	1	2	3	4	5
Prob(pi > ϕ1)	0.198	0.364	0.998	0.999	1
Prob(pi > ϕ2)	0	0.001	0.304	0.408	0.62
Effective sample size (ESS)	32.54	37.95	30.88	31.44	32.21
α = 10, β = 2	1	2	3	4	5
Prob(pi > ϕ1)	0.194	0.361	0.998	0.999	1
Prob(pi > ϕ2)	0	0.001	0.303	0.405	0.619
Effective sample size (ESS)	32.76	37.91	30.89	31.57	32.16
α = 5, β = 2	1	2	3	4	5
Prob(pi > ϕ1)	0.162	0.412	0.995	0.998	1
Prob(pi > ϕ2)	0	0.003	0.279	0.398	0.656
Effective sample size (ESS)	32.31	34.11	28.29	28.92	28.93
α = 2, β = 2	1	2	3	4	5
Prob(pi > ϕ1)	0.13	0.474	0.988	0.997	1
Prob(pi > ϕ1)	0	0.006	0.256	0.395	0.688
Effective sample size (ESS)	31.98	30.57	26.76	26.78	26.70
α = 1, β = 1	1	2	3	4	5
Prob(pi > ϕ1)	0.131	0.473	0.989	0.996	1
Prob(pi > ϕ2)	0	0.005	0.260	0.395	0.677
Effective sample size (ESS)	31.69	30.72	26.94	27.17	27.00