Table 4.

Powers and Type I Errors under Three Sampling Priors for 12-Month TLF with (n_t, n_c) = (900, 300)

Fitting Prior	γ	Point Mass Sampling Prior at ${\mu }_c=\text{logit}(p_c^{\ast })$
		$p_c^{\ast }=8.0\%$		$p_c^{\ast }=9.2\%$		$p_c^{\ast }=10.0\%$
		Power	Type I Error	Power	Type I Error	Power	Type I Error
Hierarchical Prior
(ξ0, η0) = (0.01, 0.01)	0.95	0.894	0.068	0.841	0.044	0.788	0.032
	0.96	0.880	0.058	0.816	0.037	0.757	0.027
	0.97	0.854	0.046	0.782	0.027	0.714	0.020
Power Prior with a0k ~ beta(b01, b02) in (4.7)
(b01, b02) = (1, 1)	0.95	0.945	0.070	0.882	0.039	0.799	0.034
(b01, b02) = (1, 5)	0.95	0.916	0.061	0.832	0.033	0.760	0.026
(b01, b02) = (1, 10)	0.95	0.868	0.053	0.791	0.038	0.728	0.032
(b01, b02) = (1, 1)	0.96	0.935	0.055	0.880	0.022	0.765	0.026
	0.97	0.917	0.041	0.848	0.015	0.719	0.009
(b01, b02) = (1, 5)	0.96	0.899	0.047	0.803	0.027	0.722	0.021