Table 1.
Parameter credible intervals, 50% (2.5%, 97.5%) for the synthetic dataset nonspatial and spatial predictive process models. Credible intervals that do not include the parameter’s true value are bolded
| Parameter | True | Nonspatial | Anisotropic predictive process |
|
|---|---|---|---|---|
| 80 knots | 125 knots | |||
| β1,0 | 1 | 7.76 (6.77, 8.87) | 2.04 (0.93, 4.69) | 1.40 (−0.39, 3.75) |
| β1,1 | 5 | 5.32 (4.72, 5.89) | 5.28 (4.78, 5.74) | 5.22 (4.83, 5.66) |
| β2,0 | 10 | 3.72 (2.10, 5.09) | 10.32 (8.41, 11.90) | 13.20 (8.92, 16.60) |
| β2,1 | 15 | 14.99 (14.20, 15.64) | 14.99 (14.44, 15.51) | 15.01 (14.42, 15.60) |
| β3,0 | 20 | 27.61 (25.86, 29.38) | 20.48 (18.34, 22.85) | 22.18 (19.69, 30.61) |
| β3,1 | 25 | 25.07 (24.49, 25.64) | 24.95 (24.43, 25.49) | 24.91 (24.48, 25.39) |
| Σa;1,1 | 25 | 31.26 (22.35, 40.24) | 21.58 (15.39, 29.48) | 21.20 (13.35, 30.07) |
| Σa;1,2 | 25 | 26.61 (17.98, 35.77) | 25.60 (17.85, 35.20) | 22.17 (15.31, 30.08) |
| Σa;1,3 | 25 | 27.88 (19.37, 36.34) | 25.02 (17.39, 33.95) | 23.74 (15.45, 35.87) |
| Σa;2,2 | 50 | 55.65 (41.04, 73.43) | 50.37 (33.40, 69.94) | 42.03 (30.37, 56.79) |
| Σa;2,3 | 50 | 56.96 (40.23, 70.59) | 51.29 (33.84, 63.76) | 47.48 (35.00, 62.20) |
| Σa;3,3 | 75 | 75.43 (55.17, 93.81) | 77.19 (50.74, 94.29) | 84.04 (58.76, 99.72) |
| Σd;1,1 | 25 | 27.54 (19.90, 37.89) | 26.70 (20.56, 35.14) | 27.29 (20.68, 35.83) |
| Σd;1,2 | 25 | 19.51 (13.84, 28.78) | 22.39 (16.04, 28.31) | 24.27 (17.76, 31.56) |
| Σd;1,3 | 0 | −2.39 (−16.28, 8.38) | −2.15 (−5.87, 3.32) | 2.87 (−2.23, 6.62) |
| Σd;2,2 | 50 | 25.12 (7.69, 46.12) | 50.26 (36.58, 60.02) | 51.55 (41.26, 62.59) |
| Σd;2,3 | 0 | 0.59 (−8.71, 9.79) | −1.31 (−5.80, 8.63) | −1.32 (−8.38, 4.53) |
| Σd;3,3 | 4 | 1.79 (0.28, 9.57) | 0.93 (0.19, 2.70) | 1.31 (0.16, 4.69) |