. Author manuscript; available in PMC: 2024 Oct 17.

Published in final edited form as: J Am Stat Assoc. 2011 Dec 31;98(462):387–396. doi: 10.1198/016214503000170

Table 4.

Inference Summary for the Five-Dimensional Multivariate Spatially Varying Coefficients Model

Parameter	2.5 %	50 %	97.5 %

$β_{0}$ (intercept)	9.908	9.917	9.928
$β_{1}$ (age)	−.008	−.005	−.002
$β_{2}$ (living area)	.283	.341	.401
$β_{3}$ (other area)	.133	.313	.497
$β_{4}$ (bathrooms)	.183	.292	.401
$T_{11}$	.167	.322	.514
${\overline{x}}_{1}^{2} T_{22}$	.029	.046	.063
${\overline{x}}_{2}^{2} T_{33}$	.013	.028	.047
${\overline{x}}_{3}^{2} T_{44}$	.034	.045	.066
${\overline{x}}_{4}^{2} T_{55}$	.151	.183	.232
$T_{12} / \sqrt{T_{11} T_{22}}$	−.219	−.203	−.184
$T_{13} / \sqrt{T_{11} T_{33}}$	−.205	−.186	−.167
$T_{14} / \sqrt{T_{11} T_{44}}$	.213	.234	.257
$T_{15} / \sqrt{T_{11} T_{55}}$	−.647	−.583	−.534
$T_{23} / \sqrt{T_{22} T_{33}}$	−.008	.011	.030
$T_{24} / \sqrt{T_{22} T_{44}}$	.061	.077	.098
$T_{25} / \sqrt{T_{22} T_{55}}$	−.013	.018	.054
$T_{34} / \sqrt{T_{33} T_{44}}$	−.885	−.839	−.789
$T_{35} / \sqrt{T_{33} T_{55}}$	−.614	−.560	−.507
$T_{45} / \sqrt{T_{44} T_{55}}$	.173	.232	.301
$ϕ$ (decay parameter)	.51	1.14	2.32
$v$ (smoothness parameter)	.91	1.47	2.87
range (in km)	2.05	4.17	9.32
$τ^{2}$	.033	.049	.077