Table 2. Open in new tab Comparison of... | Oxford Academic

Table 2.

Open in new tab

Comparison of the Bayesian analysis models with respect to the analogue of type I error rate: null hypothesis is erroneously rejected under scenarios of any |$\theta_k =0$|⁠, setting |$\delta_U=0.25$| and |$\zeta = 0.975$|⁠.

Subtrial
		1	2	3	4	5	6	Overall
Scenario 7	Standard HM	0.0000	0.0000	0.0000	0.0000	—	—	0.0000
	No borrowing	0.0036	0.0077	0.0056	0.0100	—	—	0.0269
	EXNEX	0.0001	0.0003	0.0002	0.0000	—	—	0.0006
	Proposed approach	0.0073	0.0089	0.0002	0.0002	—	—	0.0166
Scenario 8	Standard HM	—	0.0155	—	—	0.0080	—	0.0207
	No borrowing	—	0.0077	—	—	0.0008	—	0.0085
	EXNEX	—	0.0195	—	—	0.0056	—	0.0251
	Proposed approach	—	0.0155	—	—	0.0017	—	0.0172
Scenario 9	Standard HM	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
	No borrowing	0.0036	0.0077	0.0056	0.0100	0.0008	0.0006	0.0283
	EXNEX	0.0000	0.0001	0.0000	0.0000	0.0000	0.0000	0.0001
	Proposed approach	0.0014	0.0028	0.0000	0.0000	0.0002	0.0020	0.0064

Subtrial
		1	2	3	4	5	6	Overall
Scenario 7	Standard HM	0.0000	0.0000	0.0000	0.0000	—	—	0.0000
	No borrowing	0.0036	0.0077	0.0056	0.0100	—	—	0.0269
	EXNEX	0.0001	0.0003	0.0002	0.0000	—	—	0.0006
	Proposed approach	0.0073	0.0089	0.0002	0.0002	—	—	0.0166
Scenario 8	Standard HM	—	0.0155	—	—	0.0080	—	0.0207
	No borrowing	—	0.0077	—	—	0.0008	—	0.0085
	EXNEX	—	0.0195	—	—	0.0056	—	0.0251
	Proposed approach	—	0.0155	—	—	0.0017	—	0.0172
Scenario 9	Standard HM	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
	No borrowing	0.0036	0.0077	0.0056	0.0100	0.0008	0.0006	0.0283
	EXNEX	0.0000	0.0001	0.0000	0.0000	0.0000	0.0000	0.0001
	Proposed approach	0.0014	0.0028	0.0000	0.0000	0.0002	0.0020	0.0064

Overall: the proportion of trials with erroneous Go decision for at least one subtrial.

Table 2.

Open in new tab

Comparison of the Bayesian analysis models with respect to the analogue of type I error rate: null hypothesis is erroneously rejected under scenarios of any |$\theta_k =0$|⁠, setting |$\delta_U=0.25$| and |$\zeta = 0.975$|⁠.

Subtrial
		1	2	3	4	5	6	Overall
Scenario 7	Standard HM	0.0000	0.0000	0.0000	0.0000	—	—	0.0000
	No borrowing	0.0036	0.0077	0.0056	0.0100	—	—	0.0269
	EXNEX	0.0001	0.0003	0.0002	0.0000	—	—	0.0006
	Proposed approach	0.0073	0.0089	0.0002	0.0002	—	—	0.0166
Scenario 8	Standard HM	—	0.0155	—	—	0.0080	—	0.0207
	No borrowing	—	0.0077	—	—	0.0008	—	0.0085
	EXNEX	—	0.0195	—	—	0.0056	—	0.0251
	Proposed approach	—	0.0155	—	—	0.0017	—	0.0172
Scenario 9	Standard HM	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
	No borrowing	0.0036	0.0077	0.0056	0.0100	0.0008	0.0006	0.0283
	EXNEX	0.0000	0.0001	0.0000	0.0000	0.0000	0.0000	0.0001
	Proposed approach	0.0014	0.0028	0.0000	0.0000	0.0002	0.0020	0.0064

Subtrial
		1	2	3	4	5	6	Overall
Scenario 7	Standard HM	0.0000	0.0000	0.0000	0.0000	—	—	0.0000
	No borrowing	0.0036	0.0077	0.0056	0.0100	—	—	0.0269
	EXNEX	0.0001	0.0003	0.0002	0.0000	—	—	0.0006
	Proposed approach	0.0073	0.0089	0.0002	0.0002	—	—	0.0166
Scenario 8	Standard HM	—	0.0155	—	—	0.0080	—	0.0207
	No borrowing	—	0.0077	—	—	0.0008	—	0.0085
	EXNEX	—	0.0195	—	—	0.0056	—	0.0251
	Proposed approach	—	0.0155	—	—	0.0017	—	0.0172
Scenario 9	Standard HM	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
	No borrowing	0.0036	0.0077	0.0056	0.0100	0.0008	0.0006	0.0283
	EXNEX	0.0000	0.0001	0.0000	0.0000	0.0000	0.0000	0.0001
	Proposed approach	0.0014	0.0028	0.0000	0.0000	0.0002	0.0020	0.0064

Overall: the proportion of trials with erroneous Go decision for at least one subtrial.