a0 p mean β0(95% CrI) mean β1(95% CrI)
0.00 0.25 0.50 0.75 1.00 0.25 0.25 0.25 0.25 0.25  0.3361 (0.2246, 0.4721)  0.5895 (0.4631, 0.7007)  0.6478 (0.5301, 0.7642)  0.8391 (0.7258, 0.9435)  0.8660 (0.7568, 0.9544)  2.0000 (1.9763, 2.0033)  2.0010 (1.9968, 2.0137)  2.0032 (1.9994, 2.0161)  2.0073 (1.9930, 2.0093)  2.0120 (1.9939, 2.0101)
0.00 0.25 0.50 0.75 1.00 0.50 0.50 0.50 0.50 0.50  1.1035 (0.8732, 1.3551)  1.5101 (1.2353, 1.6460)  1.5657 (1.3439, 1.7164)  1.6722 (1.6347, 1.7409)  1.7371 (1.6944, 1.7749)  1.9987 (1.8973, 2.1814)  2.0880 (1.9391, 2.2060)  2.1290 (1.9399, 2.2061)  2.1421 (1.9677, 2.2171)  2.1558 (1.9934, 2.2276)
Table 2: Posterior means and 95% credible intervals (CrI) for β0 and β1 for the simulated data.