. Author manuscript; available in PMC: 2010 Jul 29.

Published in final edited form as: J Am Stat Assoc. 2010 Jun 1;105(490):506–521. doi: 10.1198/jasa.2009.ap09068

Table 2.

Parameter credible intervals, 50% (2.5%, 97.5%) for the synthetic dataset nonspatial and spatial predictive process models (continuation of Table 1). Credible intervals that do not include the parameter’s true value are bolded

Parameter

True

Nonspatial

Anisotropic predictive process

80 knots

125 knots

C_w_{; 1,1}

–

36.49 (15.51, 54.58)

32.66 (4.89, 89.72)

C_w_{; 1,2}

−25

–

−31.98 (−55.09, −27.19)

−30.19 (−75.42, −16.18)

C_w_{; 1,3}

–

−0.57 (−6.85, 1.37)

−1.16 (−12.03, 10.18)

C_w_{; 2,2}

–

31.11 (25.44, 34.09)

30.92 (18.71, 40.23)

C_w_{; 2,3}

–

0.26 (−4.31, 2.21)

1.42 (−9.23, 6.03)

C_w_{; 3,3}

–

55.79 (13.12, 108.21)

38.26 (3.98, 68.04)

Ψ_1,1

13.58 (3.52, 24.65)

1.46 (0.17, 5.93)

1.54 (0.14, 6.89)

Ψ_2,2

43.64 (21.27, 67.24)

0.85 (0.15, 7.22)

4.15 (0.80, 11.31)

Ψ_3,3

31.02 (22.80, 41.83)

1.56 (0.40, 7.07)

5.40 (1.55, 19.22)

ψ_w_₁

45°

–

38.39 (22.06, 81.36)

42.23 (8.08, 58.96)

ψ_w_₂

45°

–

57.30 (9.13, 84.63)

47.21 (13.52, 86.00)

ψ_w_₃

45°

–

33.17 (1.03, 78.04)

48.07 (4.87,76.89)

Λ_w_₁,1

–

49.35 (47.94, 50.41)

50.31 (49.17, 52.96)

Λ_w_₁,2

–

9.79 (8.22, 11.03)

10.05 (8.28, 11.72)

Λ_w_₂,₁

–

50.31 (49.00, 51.04)

51.19 (49.67, 52.09)

Λ_w_₂,₂

–

9.67 (8.93, 10.32)

9.81 (7.78, 10.68)

Λ_w_₃,₁

–

10.58 (9.84, 11.46)

10.82 (9.49, 12.79)

Λ_w_₃,₂

–

49.60 (48.60, 50.38)

49.51 (48.27, 53.06)

ν_w_₁

0.5

–

0.57 (0.27, 0.92)

0.62 (0.09, 1.00)

ν_w_₂

0.5

–

0.68 (0.40, 0.90)

0.60 (0.29, 0.84)

ν_w_₃

0.5

–

0.36 (0.15, 0.55)

0.68 (0.39, 1.16)

h_{1}^{2}

0.45

0.43 (0.32, 0.51)

0.43 (0.31, 0.54)

0.42 (0.27, 0.54)

h_{2}^{2}

0.48

0.45 (0.35, 0.55)

0.49 (0.36, 0.63)

0.43 (0.33, 0.53)

h_{3}^{2}

0.9

0.69 (0.55, 0.78)

0.97 (0.88, 0.99)

0.92 (0.76, 0.97)