Table 4.

Bayesian type I errors and powers using the borrowing-by-parts power prior.

${\mu }_c=0,{\sigma }_t^2=25,{\sigma }_c^2=25$
a 01	a 02	Type I Error	Power
			δ = 3.5	δ = 4	δ = 4.5
0.00	0.00	0.0255	60.44%	71.93%	81.50%
0.18	0.00	0.0162	74.71%	85.46%	92.60%
0.36	0.00	0.0143	83.01%	91.82%	96.62%
0.00	0.18	0.0329	65.78%	76.67%	85.27%
0.00	0.36	0.0376	68.42%	78.88%	86.99%
0.18	0.18	0.0213	78.97%	88.55%	94.50%
0.36	0.36	0.0212	87.43%	94.44%	97.93%
${\mu }_c=0,{\sigma }_t^2=25,{\sigma }_c^2=11.42$
a 01	a 02	Type I Error	Power
			δ = 3.5	δ = 4	δ = 4.5
0.00	0.00	0.0247	79.79%	89.11%	94.84%
0.18	0.00	0.0202	88.68%	95.25%	98.33%
0.36	0.00	0.0205	92.40%	97.30%	99.21%
0.00	0.18	0.0243	80.24%	89.49%	95.09%
0.00	0.36	0.0242	80.45%	89.64%	95.18%
0.18	0.18	0.0202	89.03%	95.47%	98.45%
0.36	0.36	0.0206	92.72%	97.47%	99.29%