Table 2.
Total Sample Size | 1000 | 1080 | 1200 | 1280 | 1480 | |
---|---|---|---|---|---|---|
nt | 750 | 810 | 900 | 960 | 1110 | |
nc | 250 | 270 | 300 | 320 | 370 | |
Frequentist SSD | ||||||
z Test (Unpooled) | Power | 0.617 | 0.646 | 0.685 | 0.710 | 0.764 |
Score Test | Power | 0.672 | 0.699 | 0.736 | 0.758 | 0.807 |
Bayesian SSD | ||||||
No Borrowing | Power | 0.648 | 0.676 | 0.718 | 0.738 | 0.800 |
a0 = (0, 0) | Type I Error | 0.049 | 0.048 | 0.048 | 0.050 | 0.044 |
Hierarchical Prior | Power | 0.796 | 0.820 | 0.841 | 0.863 | 0.894 |
(ξ0, η0) = (0.01, 0.01) | Type I Error | 0.044 | 0.045 | 0.044 | 0.049 | 0.048 |
Hierarchical Prior | Power | 0.839 | 0.860 | 0.882 | 0.900 | 0.922 |
(ξ0, η0) = (0.001, 0.001) | Type I Error | 0.038 | 0.042 | 0.039 | 0.040 | 0.041 |
Power Prior | Power | 0.840 | 0.856 | 0.884 | 0.892 | 0.923 |
Fixed a0 = (0.3, 0.3) | Type I Error | 0.030 | 0.027 | 0.028 | 0.030 | 0.032 |
Power Prior | Power | 0.843 | 0.878 | 0.897 | 0.902 | 0.914 |
Random a0 | Type I Error | 0.038 | 0.031 | 0.029 | 0.036 | 0.039 |