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MGWR Version: 2.2.1
Released on: 03/20/2020
Source code is available at: https://github.com/pysal/mgwr
Development Team: Ziqi Li, Taylor Oshan, Stewart Fotheringham, Wei Kang, 
Levi Wolf, Hanchen Yu, Mehak Sachdeva, and Sarah Bardin
Spatial Analysis Research Center (SPARC)
Arizona State University, Tempe, USA
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Model type:                                                             Gaussian
Number of observations:                                                      673
Number of covariates:                                                         18
Dependent variable:                                                          YBL
Variable standardization:                                                     On
Total runtime:                                                           0:04:44

Global Regression Results
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Residual sum of squares:                                                 571.289
Log-likelihood:                                                         -899.810
AIC:                                                                    1835.620
AICc:                                                                   1838.783
R2:                                                                        0.151
Adj. R2:                                                                   0.129

Variable                                   Est.         SE  t(Est/SE)    p-value
------------------------------------ ---------- ---------- ---------- ----------
Intercept                                 0.000      0.036      0.000      1.000
SR                                        0.033      0.044      0.736      0.462
PP                                      -0.070      0.046     -1.507      0.132
UR                                       -0.061      0.045     -1.334      0.182
RI                                       -0.120      0.044     -2.707      0.007
IP                                      -0.061      0.041     -1.468      0.142
ISH                                       -0.019      0.048     -0.408      0.683
DOED                                       0.248      0.042      5.923      0.000
LC                                       -0.115      0.071     -1.609      0.108
VC                                        0.180      0.088      2.050      0.040
CAF                                       0.013      0.086      0.150      0.881
SAC                                       -0.151      0.073     -2.067      0.039
BS                                       -0.003      0.049     -0.067      0.946
MS                                        0.083      0.078      1.064      0.287
SEAC                                       -0.018      0.050     -0.350      0.726
LE                                      -0.065      0.046     -1.420      0.155
BH                                       0.062      0.060      1.026      0.305
FC                                       -0.031      0.058     -0.543      0.587

Multiscale Geographically Weighted Regression (MGWR) Results
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Coordinates type:                                                      Projected
Spatial kernel:                                                Adaptive bisquare
Criterion for optimal bandwidth:                                            AICc
Score of change (SOC) type:                                          Smoothing f
Termination criterion for MGWR:                                          1.0e-05
Number of iterations used:                                                    58

MGWR bandwidths
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Variable                  Bandwidth      ENP_j   Adj t-val(95%)            DoD_j
Intercept                   672.000      1.098            2.003            0.986
SR                          672.000      1.783            2.202            0.911
PP                          629.000      2.035            2.253            0.891
UR                          672.000      1.424            2.111            0.946
RI                          672.000      1.586            2.155            0.929
IP                          671.000      1.641            2.168            0.924
ISH                           47.000     29.450            3.151            0.481
DOED                          672.000      1.110            2.008            0.984
LC                          116.000      7.501            2.722            0.691
VC                          168.000      4.250            2.526            0.778
CAF                         672.000      1.112            2.009            0.984
SAC                          672.000      1.170            2.030            0.976
BS                          667.000      1.133            2.016            0.981
MS                           49.000     27.447            3.130            0.491
SEAC                          672.000      1.655            2.172            0.923
LE                          672.000      1.481            2.127            0.940
BH                          672.000      1.616            2.162            0.926
FC                         672.000      1.521            2.138            0.936

Diagnostic Information
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Residual sum of squares:                                                 322.229
Effective number of parameters (trace(S)):                                89.013
Degree of freedom (n - trace(S)):                                        583.987
Sigma estimate:                                                            0.743
Log-likelihood:                                                         -707.119
Degree of Dependency (DoD):                                                0.755
AIC:                                                                    1594.265
AICc:                                                                   1622.418
BIC:                                                                    2000.383
R2:                                                                        0.521
Adj. R2:                                                                   0.448

Summary Statistics For MGWR Parameter Estimates
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Variable                        Mean        STD        Min     Median        Max
--------------------      ---------- ---------- ---------- ---------- ----------
Intercept                     -0.274      0.005     -0.283     -0.276     -0.264
SR                             0.029      0.008      0.015      0.031      0.044
PP                            -0.117      0.037     -0.170     -0.110     -0.066
UR                            -0.116      0.014     -0.141     -0.115     -0.093
RI                           -0.089      0.016     -0.119     -0.087     -0.064
IP                             -0.046      0.014     -0.069     -0.047     -0.018
ISH                             -0.046      0.336     -1.079     -0.036      1.152
DOED                           -0.047      0.005     -0.058     -0.045     -0.041
LC                            -0.110      0.308     -1.155     -0.016      0.367
VC                             0.188      0.259     -0.075      0.058      0.945
CAF                            -0.149      0.003     -0.155     -0.149     -0.144
SAC                            -0.014      0.005     -0.024     -0.012     -0.006
BS                             0.049      0.009      0.038      0.045      0.070
MS                             0.009      0.431     -2.107      0.079      1.650
SEAC                            -0.016      0.004     -0.025     -0.016     -0.009
LE                            -0.004      0.017     -0.033      0.001      0.019
BH                             0.107      0.005      0.100      0.106      0.124
PC                            -0.033      0.009     -0.043     -0.035     -0.017
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Acknowledgement:
We acknowledge the support of the National Science Foundation under Award 1758786 
from the Geography and Spatial Sciences Program to A. S. Fotheringham which 
enabled this software to be written and made freely available.
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