Table 1.

Trial properties under different uniform prior distributions for σ using our Joint Bayesian hierarchical model.

Scenario	Stratum	Hypothesis	Design	Type I	Power	En	PET
I	A	0.1 vs. 0.3	U (0,0.1)	0.05	0.75	11	0.88
			U (0,1)	0.04	0.83	12	0.85
			U (0,10)	0.05	0.78	13	0.75
			U (0,100)	0.04	0.77	13	0.75
	B	0.5 vs. 0.75	U (0,0.1)	0.07	0.85	12	0.79
			U (0,1)	0.08	0.90	13	0.73
			U (0,10)	0.10	0.86	14	0.62
			U (0,100)	0.10	0.86	14	0.60
II	A	0.1 vs. 0.3	U (0,0.1)	0.04	0.69	11	0.88
			U (0,1)	0.04	0.79	11	0.86
			U (0,10)	0.05	0.77	13	0.75
			U (0,100)	0.04	0.77	13	0.75
	B	0.5 vs. 0.7	U (0,0.1)	0.09	0.82	13	0.66
			U (0,1)	0.10	0.82	14	0.58
			U (0,10)	0.11	0.74	15	0.50
			U (0,100)	0.12	0.74	15	0.49
III	A	0.1 vs. 0.25	U (0,0.1)	0.07	0.70	12	0.78
			U (0,1)	0.05	0.73	13	0.73
			U (0,10)	0.05	0.66	13	0.70
			U (0,100)	0.05	0.63	13	0.72
	B	0.5 vs. 0.7	U (0,0.1)	0.09	0.77	13	0.66
			U (0,1)	0.10	0.80	14	0.58
			U (0,10)	0.11	0.73	15	0.50
			U (0,100)	0.11	0.73	15	0.49
IV	A	0.1 vs. 0.25	U (0,0.1)	0.07	0.78	12	0.80
			U (0,1)	0.05	0.78	13	0.73
			U (0,10)	0.05	0.69	13	0.71
			U (0,100)	0.05	0.65	13	0.72
	B	0.5 vs. 0.75	U (0,0.1)	0.07	0.78	12	0.80
			U (0,1)	0.07	0.87	13	0.73
			U (0,10)	0.10	0.86	14	0.63
			U (0,100)	0.10	0.85	14	0.60

En: expected sample size; PET: probability of early stopping.