. Author manuscript; available in PMC: 2025 Aug 25.

Published in final edited form as: Clin Trials. 2025 Aug 21;22(6):667–675. doi: 10.1177/17407745251358233

Table 2.

Simulation results for $H_{0} : p = 0.1$ and $H_{1} : p = 0.3$ with increased sample size.

Data	( $n_{1}$ , $n_{2}$ )	Par	logit(0.1)	logit(0.2)	logit(0.3)
$H_{0}$	(8, 24)	$\hat{p}$	0.12 (0.06)	0.12 (0.06)	0.12 (0.06)
		FPR	0.08	0.08	0.08
		PET	0.62	0.59	0.57
		ESS	17.13	17.79	18.22
	(10, 30)	$\hat{p}$	0.11 (0.05)	0.12 (0.05)	0.12 (0.05)
		FPR	0.09	0.09	0.09
		PET	0.62	0.60	0.58
		ESS	21.41	22.13	22.62
	(16, 48)	$\hat{p}$	0.11 (0.04)	0.11 (0.04)	0.11 (0.04)
		FPR	0.11	0.11	0.11
		PET	0.60	0.59	0.57
		ESS	34.99	35.94	36.57
$H_{1}$	(8, 24)	$\hat{p}$	0.30 (0.09)	0.30 (0.09)	0.30 (0.09)
		Power	0.89	0.89	0.90
	(10, 30)	$\hat{p}$	0.30 (0.08)	0.30 (0.08)	0.30 (0.08)
		Power	0.96	0.96	0.96
	(16, 48)	$\hat{p}$	0.30 (0.07)	0.30 (0.07)	0.30 (0.07)
		Power	1.00	1.00	1.00

FPR = false positive rate; PET = probability of early termination; ESS=expected sample size