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*             Semiparametric Geographically Weighted Regression             *
*                         Release 1.0.90 (GWR 4.0.90)                       *
*                               12 May 2015                                 *
*                 (Originally coded by T. Nakaya: 1 Nov 2009)               *
*                                                                           *
*              Tomoki Nakaya(1), Martin Charlton(2), Chris Brunsdon (2)     *
*              Paul Lewis (2), Jing Yao (3), A Stewart Fotheringham (4)     *
*                       (c) GWR4 development team                           *
* (1) Ritsumeikan University, (2) National University of Ireland, Maynooth, *
*         (3) University of Glasgow, (4) Arizona State University           *
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Program began at 7/25/2016 2:05:10 AM

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Session: 
Session control file: C:\Users\IEUser\Desktop\goergia_GS_F.ctl
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Data filename: C:\Users\IEUser\Desktop\georgia\georgia\GData_utm.csv
Number of areas/points: 159

Model settings---------------------------------
Model type: Gaussian
Geographic kernel: fixed Gaussian
Method for optimal bandwidth search: Golden section search
Criterion for optimal bandwidth: AICc
Number of varying coefficients: 4
Number of fixed coefficients:   0

Modelling options---------------------------------
Standardisation of independent variables: OFF
Testing geographical variability of local coefficients: OFF
Local to Global Variable selection: OFF
Global to Local Variable selection: OFF
Prediction at non-regression points: OFF

Variable settings---------------------------------
Area key: field1: AreaKey
Easting (x-coord): field12 : X
Northing (y-coord): field13: Y
Cartesian coordinates: Euclidean distance
Dependent variable: field6: PctBach
Offset variable is not specified
Intercept: varying (Local) intercept
Independent variable with varying (Local) coefficient: field5: PctRural
Independent variable with varying (Local) coefficient: field9: PctPov
Independent variable with varying (Local) coefficient: field10: PctBlack
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  Global regression result
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  < Diagnostic information >
Residual sum of squares:                 2639.559476
Number of parameters:                        4
 (Note: this num does not include an error variance term for a Gaussian model)
ML based global sigma estimate:             4.074433
Unbiased global sigma estimate:             4.126671
-2 log-likelihood:                        897.927089
Classic AIC:                              907.927089
AICc:                                     908.319245
BIC/MDL:                                  923.271610
CV:                                        18.100197
R square:                                   0.485273
Adjusted R square:                          0.471903

Variable                  Estimate    Standard Error      t(Est/SE) 
-------------------- --------------- --------------- ---------------
Intercept                  23.854615        1.173043       20.335661
PctRural                   -0.111395        0.012878       -8.649661
PctPov                     -0.345778        0.070863       -4.879540
PctBlack                    0.058331        0.029187        1.998499

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  GWR (Geographically weighted regression) bandwidth selection
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Bandwidth search <golden section search>
  Limits: 54486.3131542225,  279451.547243655
 Golden section search begins...
 Initial values
  pL            Bandwidth: 54486.313 Criterion:    914.115
  p1            Bandwidth: 140415.386 Criterion:    900.141
  p2            Bandwidth: 193522.474 Criterion:    903.842
  pU            Bandwidth: 279451.547 Criterion:    906.294
 iter    1 (p1) Bandwidth: 140415.386 Criterion:    900.141 Diff:  53107.088
 iter    2 (p1) Bandwidth: 107593.401 Criterion:    896.616 Diff:  32821.985
 iter    3 (p1) Bandwidth: 87308.298 Criterion:    895.290 Diff:  20285.103
 iter    4 (p2) Bandwidth: 87308.298 Criterion:    895.290 Diff:  12536.883
 iter    5 (p1) Bandwidth: 87308.298 Criterion:    895.290 Diff:   7748.220
 iter    6 (p2) Bandwidth: 87308.298 Criterion:    895.290 Diff:   4788.663
Best bandwidth size 87308.298
Minimum AICc      895.290

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  GWR (Geographically weighted regression) result
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  Bandwidth and geographic ranges
Bandwidth size:                87308.298470
Coordinate                Min              Max           Range
--------------- --------------- --------------- ---------------
X-coord           635964.300000  1059706.000000   423741.700000
Y-coord          3401148.000000  3872640.000000   471492.000000

  Diagnostic information
Residual sum of squares:          2030.010213
Effective number of parameters (model: trace(S)):                    16.304601
Effective number of parameters (variance: trace(S'S)):               10.141574
Degree of freedom (model: n - trace(S)):                            142.695399
Degree of freedom (residual: n - 2trace(S) + trace(S'S)):           136.532371
ML based sigma estimate:             3.573144
Unbiased sigma estimate:             3.855949
-2 log-likelihood:                 856.178266
Classic AIC:                       890.787468
AICc:                              895.290158
BIC/MDL:                           943.893632
CV:                                 18.212841
R square:                            0.604138
Adjusted R square:                   0.538515

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 << Geographically varying (Local) coefficients >>
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Estimates of varying coefficients have been saved in the following file.
    Listwise output file: C:\Users\IEUser\Desktop\goergia_GS_F_listwise.csv

Summary statistics for varying (Local) coefficients 
Variable                      Mean             STD 
-------------------- --------------- ---------------
Intercept                  23.315956        3.742747
PctRural                   -0.116469        0.034541
PctPov                     -0.290012        0.105098
PctBlack                    0.053228        0.060773

Variable                       Min              Max           Range
-------------------- --------------- --------------- ---------------
Intercept                  18.016084       29.440723       11.424639
PctRural                   -0.185429       -0.058428        0.127001
PctPov                     -0.661246       -0.100954        0.560292
PctBlack                   -0.064110        0.222182        0.286293

Variable               Lwr Quartile          Median    Upr Quartile
-------------------- --------------- --------------- ---------------
Intercept                  19.466237       23.494623       26.843339
PctRural                   -0.145428       -0.108359       -0.087985
PctPov                     -0.337452       -0.285118       -0.224337
PctBlack                    0.003985        0.055632        0.102447

Variable             Interquartile R     Robust STD
-------------------- --------------- ---------------
Intercept                   7.377102        5.468571
PctRural                    0.057443        0.042582
PctPov                      0.113114        0.083851
PctBlack                    0.098462        0.072989
 (Note: Robust STD is given by (interquartile range / 1.349) )

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 GWR ANOVA Table
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Source                           SS          DF             MS           F
----------------- ------------------- ---------- --------------- ----------
Global Residuals              2639.559    155.000
GWR Improvement                609.549     18.468          33.006
GWR Residuals                 2030.010    136.532          14.868   2.219909

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Program terminated at 7/25/2016 2:05:11 AM
