title: “Spatial Autocorrelation” output: html_document

setwd("C:/Liem/GEOG515/Spring15/Labs/")
library(GISTools)
## Loading required package: maptools
## Loading required package: sp
## Checking rgeos availability: TRUE
## Loading required package: RColorBrewer
## Loading required package: MASS
## Loading required package: rgeos
## rgeos version: 0.3-6, (SVN revision 450)
##  GEOS runtime version: 3.4.2-CAPI-1.8.2 r3921 
##  Polygon checking: TRUE
library(spdep)
## Loading required package: Matrix
Durham <- readShapePoly("C:/Liem/GEOG515/Spring15/Labs/DurhamNC.shp")
summary(Durham)
## Object of class SpatialPolygonsDataFrame
## Coordinates:
##       min     max
## x 1495085 1530541
## y 1557560 1589481
## Is projected: NA 
## proj4string : [NA]
## Data attributes:
##     OBJECTID             bgrp       Shape_Leng      Shape_Area      
##  Min.   :  1   370630001011:  1   Min.   : 1627   Min.   :  172759  
##  1st Qu.: 49   370630001012:  1   1st Qu.: 4463   1st Qu.:  867765  
##  Median : 97   370630001021:  1   Median : 6545   Median : 1749810  
##  Mean   : 97   370630001022:  1   Mean   : 7793   Mean   : 2950217  
##  3rd Qu.:145   370630002001:  1   3rd Qu.: 9914   3rd Qu.: 3397624  
##  Max.   :193   370630002002:  1   Max.   :23686   Max.   :21850781  
##                (Other)     :187                                     
##    OBJECTID_1    OBJECTID_2    Block_Grou          NO2_Hospit     
##  Min.   :  1   Min.   :  1   Min.   :3.706e+11   Min.   :  4.712  
##  1st Qu.: 49   1st Qu.: 49   1st Qu.:3.706e+11   1st Qu.: 80.433  
##  Median : 97   Median : 97   Median :3.706e+11   Median :121.291  
##  Mean   : 97   Mean   : 97   Mean   :3.708e+11   Mean   :135.590  
##  3rd Qu.:145   3rd Qu.:145   3rd Qu.:3.714e+11   3rd Qu.:175.028  
##  Max.   :193   Max.   :193   Max.   :3.714e+11   Max.   :368.112  
##                                                                   
##    NO2_Asthma       NO2_Asth_1        O3_Acute_R       O3_Mortali     
##  Min.   :0.0688   Min.   :  5.793   Min.   :0.1263   Min.   :  380.9  
##  1st Qu.:1.2318   1st Qu.:102.817   1st Qu.:2.1414   1st Qu.: 6911.4  
##  Median :2.0137   Median :168.569   Median :3.1670   Median : 9823.3  
##  Mean   :2.3845   Mean   :199.697   Mean   :3.4902   Mean   :11116.9  
##  3rd Qu.:3.2444   3rd Qu.:271.862   3rd Qu.:4.5868   3rd Qu.:14320.2  
##  Max.   :8.1336   Max.   :681.242   Max.   :8.8270   Max.   :30320.0  
##                                                                       
##    O3_School_       O3_School1         PM25_Acute       PM25_Morta       
##  Min.   :0.0037   Min.   :  0.3623   Min.   :0.0529   Min.   :    20.85  
##  1st Qu.:0.6266   1st Qu.: 61.5214   1st Qu.:1.0583   1st Qu.: 17727.52  
##  Median :1.0393   Median :102.0513   Median :1.4636   Median : 27728.29  
##  Mean   :1.2317   Mean   :120.9382   Mean   :1.6885   Mean   : 32009.66  
##  3rd Qu.:1.6862   3rd Qu.:165.5663   3rd Qu.:2.2585   3rd Qu.: 43430.79  
##  Max.   :4.3634   Max.   :428.4424   Max.   :4.8510   Max.   :102039.30  
##                                                                          
##    PM25_Work_       PM25_Work1        SO2_Asthma       SO2_Asth_1    
##  Min.   :0.0091   Min.   :  1.534   Min.   :0.0000   Min.   : 0.000  
##  1st Qu.:0.1791   1st Qu.: 30.980   1st Qu.:0.0953   1st Qu.: 7.518  
##  Median :0.2492   Median : 43.115   Median :0.1543   Median :12.181  
##  Mean   :0.2901   Mean   : 49.362   Mean   :0.1830   Mean   :14.443  
##  3rd Qu.:0.3898   3rd Qu.: 66.645   3rd Qu.:0.2594   3rd Qu.:20.476  
##  Max.   :0.8372   Max.   :140.680   Max.   :0.6087   Max.   :48.042  
##                                                                      
##    SO2_Hospit         POP5PCT           PCT5PCT         RB50_LAREA     
##  Min.   : 0.7095   Min.   :   0.00   Min.   : 0.000   Min.   :      0  
##  1st Qu.:12.5634   1st Qu.:  14.84   1st Qu.: 1.310   1st Qu.: 107913  
##  Median :18.7383   Median :  70.90   Median : 3.935   Median : 238218  
##  Mean   :21.0212   Mean   : 149.55   Mean   : 7.495   Mean   : 508268  
##  3rd Qu.:26.6910   3rd Qu.: 183.52   3rd Qu.: 9.729   3rd Qu.: 580571  
##  Max.   :56.0338   Max.   :1304.97   Max.   :51.993   Max.   :3708700  
##                                                                        
##    RB50_LABGP      RB50_IMPP           RB50_FORP          RB50_VEGP       
##  Min.   : 0.00   Min.   :-9999.000   Min.   :-9999.00   Min.   :-9999.00  
##  1st Qu.:11.18   1st Qu.:    6.214   1st Qu.:   67.45   1st Qu.:   79.43  
##  Median :14.95   Median :   11.291   Median :   77.40   Median :   87.11  
##  Mean   :14.77   Mean   : -608.131   Mean   : -551.83   Mean   : -542.17  
##  3rd Qu.:18.83   3rd Qu.:   16.166   3rd Qu.:   82.91   3rd Qu.:   91.30  
##  Max.   :38.34   Max.   :   77.316   Max.   :   97.30   Max.   :   99.52  
##                                                                           
##    RB15_LAREA        RB15_LABGP       RB15_IMPP           RB15_FORP       
##  Min.   :      0   Min.   : 0.000   Min.   :-9999.000   Min.   :-9999.00  
##  1st Qu.:  33476   1st Qu.: 3.316   1st Qu.:    3.385   1st Qu.:   75.57  
##  Median :  73033   Median : 4.521   Median :    6.479   Median :   84.05  
##  Mean   : 158078   Mean   : 4.533   Mean   : -664.757   Mean   : -597.44  
##  3rd Qu.: 181314   3rd Qu.: 5.798   3rd Qu.:   10.549   3rd Qu.:   89.95  
##  Max.   :1114836   Max.   :14.405   Max.   :   77.291   Max.   :   99.58  
##                                                                           
##    RB15_VEGP           TREE_POP           TREE_PCT       GREEN_POP       
##  Min.   :-9999.00   Min.   :   31.98   Min.   :10.80   Min.   :   51.95  
##  1st Qu.:   87.42   1st Qu.:  303.92   1st Qu.:48.09   1st Qu.:  393.34  
##  Median :   91.94   Median :  648.88   Median :59.83   Median :  808.49  
##  Mean   : -589.49   Mean   : 1069.54   Mean   :56.85   Mean   : 1303.48  
##  3rd Qu.:   95.67   3rd Qu.: 1126.58   3rd Qu.:67.24   3rd Qu.: 1418.53  
##  Max.   :   99.92   Max.   :11425.13   Max.   :88.89   Max.   :12008.74  
##                                                                          
##    GREEN_PCT        IMP_POP           IMP_PCT         DRK_PCTIMP   
##  Min.   :21.93   Min.   :  77.51   Min.   : 5.789   Min.   :35.56  
##  1st Qu.:65.01   1st Qu.: 181.37   1st Qu.:17.683   1st Qu.:72.70  
##  Median :72.44   Median : 274.84   Median :25.955   Median :79.89  
##  Mean   :71.40   Mean   : 335.25   Mean   :27.455   Mean   :78.45  
##  3rd Qu.:81.43   3rd Qu.: 393.65   3rd Qu.:33.777   3rd Qu.:86.10  
##  Max.   :93.43   Max.   :1635.62   Max.   :76.829   Max.   :97.39  
##                                                                    
##    SUM_HOUSIN       SUM_POP10       under_1        under_1pct    
##  Min.   :   0.0   Min.   : 177   Min.   : 0.00   Min.   :0.0000  
##  1st Qu.: 495.0   1st Qu.:1119   1st Qu.:12.00   1st Qu.:0.8865  
##  Median : 741.0   Median :1635   Median :20.00   Median :1.3172  
##  Mean   : 773.7   Mean   :1766   Mean   :24.54   Mean   :1.3633  
##  3rd Qu.:1034.0   3rd Qu.:2274   3rd Qu.:33.00   3rd Qu.:1.8382  
##  Max.   :2135.0   Max.   :4164   Max.   :87.00   Max.   :3.2486  
##                                                                  
##     under_13       under_13pc       over_70        over_70pct    
##  Min.   :  0.0   Min.   : 0.00   Min.   :  0.0   Min.   : 0.000  
##  1st Qu.:153.0   1st Qu.:12.60   1st Qu.: 49.0   1st Qu.: 3.333  
##  Median :227.0   Median :16.21   Median : 90.0   Median : 5.468  
##  Mean   :289.6   Mean   :15.91   Mean   :111.1   Mean   : 6.761  
##  3rd Qu.:405.0   3rd Qu.:20.31   3rd Qu.:146.0   3rd Qu.: 8.352  
##  Max.   :994.0   Max.   :28.68   Max.   :656.0   Max.   :56.295  
##                                                                  
##     Density          PLx2_Pop         PLx2_Pct         NonWhite     
##  Min.   :0.0778   Min.   :   0.0   Min.   :  0.00   Min.   :  13.0  
##  1st Qu.:0.5554   1st Qu.: 214.0   1st Qu.: 18.05   1st Qu.: 394.0  
##  Median :0.9241   Median : 475.0   Median : 35.92   Median : 765.0  
##  Mean   :1.2096   Mean   : 573.2   Mean   : 39.74   Mean   : 923.9  
##  3rd Qu.:1.5441   3rd Qu.: 851.0   3rd Qu.: 60.39   3rd Qu.:1262.0  
##  Max.   :6.2785   Max.   :2411.0   Max.   :100.00   Max.   :3573.0  
##                                                                     
##    NonWt_Pct         K12_COUNT        DAY_COUNT        K12_LOW     
##  Min.   :  5.179   Min.   :0.0000   Min.   :0.000   Min.   :  0.0  
##  1st Qu.: 28.037   1st Qu.:0.0000   1st Qu.:0.000   1st Qu.:  0.0  
##  Median : 45.748   Median :0.0000   Median :1.000   Median :999.0  
##  Mean   : 51.800   Mean   :0.5907   Mean   :1.093   Mean   :600.5  
##  3rd Qu.: 74.526   3rd Qu.:1.0000   3rd Qu.:2.000   3rd Qu.:999.0  
##  Max.   :100.000   Max.   :5.0000   Max.   :6.000   Max.   :999.0  
##                                                                    
##     DAY_LOW         KGCSTOR              KGCSEQ           DOLCSTOR       
##  Min.   :  0.0   Min.   :   300625   Min.   :  12197   Min.   :   23599  
##  1st Qu.:  0.0   1st Qu.:  3255115   1st Qu.: 132067   1st Qu.:  255527  
##  Median :  0.0   Median :  8177954   Median : 331797   Median :  641969  
##  Mean   :429.7   Mean   : 14525310   Mean   : 589323   Mean   : 1140237  
##  3rd Qu.:999.0   3rd Qu.: 16714592   3rd Qu.: 678147   3rd Qu.: 1312095  
##  Max.   :999.0   Max.   :133158402   Max.   :5402526   Max.   :10452935  
##                                                                          
##     DOLCSEQ           maxtempred       maxtempr_1       CORemoval      
##  Min.   :   957.5   Min.   :-1.580   Min.   :-2.970   Min.   :   6.37  
##  1st Qu.: 10367.3   1st Qu.:-1.190   1st Qu.:-2.220   1st Qu.:  68.98  
##  Median : 26046.1   Median :-1.060   Median :-1.970   Median : 173.29  
##  Mean   : 46261.9   Mean   :-1.007   Mean   :-1.885   Mean   : 307.79  
##  3rd Qu.: 53234.6   3rd Qu.:-0.860   3rd Qu.:-1.610   3rd Qu.: 354.20  
##  Max.   :424098.3   Max.   :-0.200   Max.   :-0.350   Max.   :2821.55  
##                                                                        
##    NO2Removal         O3Removal         PM25Remova       SO2Removal     
##  Min.   :   30.39   Min.   :  214.6   Min.   :  13.1   Min.   :  13.49  
##  1st Qu.:  329.06   1st Qu.: 2274.4   1st Qu.: 159.4   1st Qu.: 134.39  
##  Median :  826.54   Median : 5681.1   Median : 351.5   Median : 355.74  
##  Mean   : 1468.21   Mean   :10330.7   Mean   : 668.3   Mean   : 624.41  
##  3rd Qu.: 1689.37   3rd Qu.:11931.7   3rd Qu.: 769.2   3rd Qu.: 734.67  
##  Max.   :13458.38   Max.   :95049.3   Max.   :5335.4   Max.   :5974.14  
##                                                                         
##    PM10Remove         PM10Value           COValue            Change     
##  Min.   :   43.06   Min.   :   305.6   Min.   :   9.62   Min.   :0.910  
##  1st Qu.:  363.18   1st Qu.:  2577.4   1st Qu.: 104.13   1st Qu.:2.720  
##  Median :  950.18   Median :  6743.2   Median : 261.62   Median :3.280  
##  Mean   : 1986.17   Mean   : 14095.5   Mean   : 464.68   Mean   :3.195  
##  3rd Qu.: 2244.72   3rd Qu.: 15930.4   3rd Qu.: 534.74   3rd Qu.:3.690  
##  Max.   :28167.66   Max.   :199901.0   Max.   :4259.77   Max.   :4.720  
##                                                                         
##      Runoff           TSSmed             BODmed            CODmed        
##  Min.   :  1824   Min.   :   99.39   Min.   :  20.97   Min.   :   81.52  
##  1st Qu.:  9549   1st Qu.:  520.41   1st Qu.: 109.81   1st Qu.:  426.83  
##  Median : 20826   Median : 1135.00   Median : 239.49   Median :  930.90  
##  Mean   : 35339   Mean   : 1925.97   Mean   : 406.40   Mean   : 1579.65  
##  3rd Qu.: 41654   3rd Qu.: 2270.14   3rd Qu.: 479.02   3rd Qu.: 1861.93  
##  Max.   :288488   Max.   :15722.60   Max.   :3317.61   Max.   :12895.41  
##                                                                          
##      TPmed           SolPmed          TKNmed          NO2_3med     
##  Min.   : 0.470   Min.   : 0.19   Min.   :  2.68   Min.   :  0.97  
##  1st Qu.: 2.470   1st Qu.: 0.98   1st Qu.: 14.04   1st Qu.:  5.09  
##  Median : 5.390   Median : 2.15   Median : 30.61   Median : 11.10  
##  Mean   : 9.152   Mean   : 3.64   Mean   : 51.95   Mean   : 18.84  
##  3rd Qu.:10.790   3rd Qu.: 4.29   3rd Qu.: 61.23   3rd Qu.: 22.20  
##  Max.   :74.720   Max.   :29.71   Max.   :424.08   Max.   :153.76  
##                                                                    
##      Cumed           TSSmean           BODmean           CODmean        
##  Min.   :0.0200   Min.   :  143.0   Min.   :  25.71   Min.   :   96.29  
##  1st Qu.:0.1100   1st Qu.:  748.6   1st Qu.: 134.64   1st Qu.:  504.18  
##  Median :0.2300   Median : 1632.7   Median : 293.64   Median : 1099.59  
##  Mean   :0.3924   Mean   : 2770.6   Mean   : 498.28   Mean   : 1865.89  
##  3rd Qu.:0.4600   3rd Qu.: 3265.7   3rd Qu.: 587.32   3rd Qu.: 2199.33  
##  Max.   :3.2000   Max.   :22617.5   Max.   :4067.68   Max.   :15232.17  
##                                                                         
##      TPmean         SolPmean         TKNmean          NO23mean     
##  Min.   : 0.57   Min.   : 0.240   Min.   :  3.15   Min.   :  1.20  
##  1st Qu.: 3.01   1st Qu.: 1.230   1st Qu.: 16.52   1st Qu.:  6.28  
##  Median : 6.56   Median : 2.690   Median : 36.03   Median : 13.70  
##  Mean   :11.13   Mean   : 4.559   Mean   : 61.14   Mean   : 23.25  
##  3rd Qu.:13.12   3rd Qu.: 5.370   3rd Qu.: 72.06   3rd Qu.: 27.41  
##  Max.   :90.87   Max.   :37.210   Max.   :499.08   Max.   :189.83  
##                                                                    
##      Cumean          MTCSTOR             MTCSEQ          Pop_Not      
##  Min.   :0.0200   Min.   :   300.6   Min.   :  12.2   Min.   :   0.0  
##  1st Qu.:0.1300   1st Qu.:  3255.1   1st Qu.: 132.1   1st Qu.: 343.3  
##  Median :0.2800   Median :  8177.9   Median : 331.8   Median : 545.4  
##  Mean   :0.4772   Mean   : 14525.3   Mean   : 589.3   Mean   : 624.7  
##  3rd Qu.:0.5600   3rd Qu.: 16714.6   3rd Qu.: 678.1   3rd Qu.: 796.9  
##  Max.   :3.8900   Max.   :133158.4   Max.   :5402.5   Max.   :2528.1  
##                                                                       
##     Pop_Suff         Pop_All          Pct_All         Lane_PctN    
##  Min.   :   0.0   Min.   :   0.0   Min.   :  0.00   Min.   : 0.00  
##  1st Qu.: 189.2   1st Qu.: 602.3   1st Qu.: 42.99   1st Qu.:30.05  
##  Median : 341.4   Median : 879.8   Median : 60.73   Median :42.62  
##  Mean   : 378.4   Mean   :1000.2   Mean   : 60.48   Mean   :42.24  
##  3rd Qu.: 516.8   3rd Qu.:1294.5   3rd Qu.: 82.25   3rd Qu.:54.76  
##  Max.   :1348.4   Max.   :3052.8   Max.   :100.00   Max.   :83.47  
##                                                                    
##    Lane_PctY        POPPARK           POPNON           PCTPARK      
##  Min.   : 0.00   Min.   :   0.0   Min.   :  30.02   Min.   : 0.000  
##  1st Qu.:43.73   1st Qu.:   0.0   1st Qu.: 816.00   1st Qu.: 0.000  
##  Median :56.40   Median : 134.0   Median :1373.80   Median : 8.637  
##  Mean   :55.69   Mean   : 288.3   Mean   :1477.81   Mean   :20.945  
##  3rd Qu.:68.88   3rd Qu.: 493.9   3rd Qu.:2032.00   3rd Qu.:33.161  
##  Max.   :97.24   Max.   :1736.7   Max.   :4164.00   Max.   :97.339  
##                                                                     
##      PCTNON          DWDBYBGDNC            Blockgroup 
##  Min.   :  2.661   Min.   : 12.83   370630001011:  1  
##  1st Qu.: 66.839   1st Qu.: 77.23   370630001012:  1  
##  Median : 91.363   Median :109.76   370630001021:  1  
##  Mean   : 79.055   Mean   :120.32   370630001022:  1  
##  3rd Qu.:100.000   3rd Qu.:152.98   370630002001:  1  
##  Max.   :100.000   Max.   :301.83   370630002002:  1  
##                                     (Other)     :187
# Create a plot of Durham
plot(Durham, col = "green")

# Extract a 'queen's case' adjacency object and print it out
Durham.queen.nb <- poly2nb(Durham, queen = TRUE)
Durham.queen.nb
## Neighbour list object:
## Number of regions: 193 
## Number of nonzero links: 1114 
## Percentage nonzero weights: 2.990684 
## Average number of links: 5.772021
# Extract a 'rooks's case' djacency object and print it out
Durham.rook.nb <- poly2nb(Durham, queen = FALSE)
Durham.rook.nb
## Neighbour list object:
## Number of regions: 193 
## Number of nonzero links: 984 
## Percentage nonzero weights: 2.641682 
## Average number of links: 5.098446
Durham.labs <- poly.labels(Durham)

plot(Durham, col = "grey")
plot(Durham.queen.nb, coordinates(Durham.labs), col = "red", add = TRUE)

Durham.lw <- nb2listw(Durham.queen.nb)
Durham.lw
## Characteristics of weights list object:
## Neighbour list object:
## Number of regions: 193 
## Number of nonzero links: 1114 
## Percentage nonzero weights: 2.990684 
## Average number of links: 5.772021 
## 
## Weights style: W 
## Weights constants summary:
##     n    nn  S0       S1       S2
## W 193 37249 193 71.74635 797.0888
attach(data.frame(Durham))
summary(Durham)
## Object of class SpatialPolygonsDataFrame
## Coordinates:
##       min     max
## x 1495085 1530541
## y 1557560 1589481
## Is projected: NA 
## proj4string : [NA]
## Data attributes:
##     OBJECTID             bgrp       Shape_Leng      Shape_Area      
##  Min.   :  1   370630001011:  1   Min.   : 1627   Min.   :  172759  
##  1st Qu.: 49   370630001012:  1   1st Qu.: 4463   1st Qu.:  867765  
##  Median : 97   370630001021:  1   Median : 6545   Median : 1749810  
##  Mean   : 97   370630001022:  1   Mean   : 7793   Mean   : 2950217  
##  3rd Qu.:145   370630002001:  1   3rd Qu.: 9914   3rd Qu.: 3397624  
##  Max.   :193   370630002002:  1   Max.   :23686   Max.   :21850781  
##                (Other)     :187                                     
##    OBJECTID_1    OBJECTID_2    Block_Grou          NO2_Hospit     
##  Min.   :  1   Min.   :  1   Min.   :3.706e+11   Min.   :  4.712  
##  1st Qu.: 49   1st Qu.: 49   1st Qu.:3.706e+11   1st Qu.: 80.433  
##  Median : 97   Median : 97   Median :3.706e+11   Median :121.291  
##  Mean   : 97   Mean   : 97   Mean   :3.708e+11   Mean   :135.590  
##  3rd Qu.:145   3rd Qu.:145   3rd Qu.:3.714e+11   3rd Qu.:175.028  
##  Max.   :193   Max.   :193   Max.   :3.714e+11   Max.   :368.112  
##                                                                   
##    NO2_Asthma       NO2_Asth_1        O3_Acute_R       O3_Mortali     
##  Min.   :0.0688   Min.   :  5.793   Min.   :0.1263   Min.   :  380.9  
##  1st Qu.:1.2318   1st Qu.:102.817   1st Qu.:2.1414   1st Qu.: 6911.4  
##  Median :2.0137   Median :168.569   Median :3.1670   Median : 9823.3  
##  Mean   :2.3845   Mean   :199.697   Mean   :3.4902   Mean   :11116.9  
##  3rd Qu.:3.2444   3rd Qu.:271.862   3rd Qu.:4.5868   3rd Qu.:14320.2  
##  Max.   :8.1336   Max.   :681.242   Max.   :8.8270   Max.   :30320.0  
##                                                                       
##    O3_School_       O3_School1         PM25_Acute       PM25_Morta       
##  Min.   :0.0037   Min.   :  0.3623   Min.   :0.0529   Min.   :    20.85  
##  1st Qu.:0.6266   1st Qu.: 61.5214   1st Qu.:1.0583   1st Qu.: 17727.52  
##  Median :1.0393   Median :102.0513   Median :1.4636   Median : 27728.29  
##  Mean   :1.2317   Mean   :120.9382   Mean   :1.6885   Mean   : 32009.66  
##  3rd Qu.:1.6862   3rd Qu.:165.5663   3rd Qu.:2.2585   3rd Qu.: 43430.79  
##  Max.   :4.3634   Max.   :428.4424   Max.   :4.8510   Max.   :102039.30  
##                                                                          
##    PM25_Work_       PM25_Work1        SO2_Asthma       SO2_Asth_1    
##  Min.   :0.0091   Min.   :  1.534   Min.   :0.0000   Min.   : 0.000  
##  1st Qu.:0.1791   1st Qu.: 30.980   1st Qu.:0.0953   1st Qu.: 7.518  
##  Median :0.2492   Median : 43.115   Median :0.1543   Median :12.181  
##  Mean   :0.2901   Mean   : 49.362   Mean   :0.1830   Mean   :14.443  
##  3rd Qu.:0.3898   3rd Qu.: 66.645   3rd Qu.:0.2594   3rd Qu.:20.476  
##  Max.   :0.8372   Max.   :140.680   Max.   :0.6087   Max.   :48.042  
##                                                                      
##    SO2_Hospit         POP5PCT           PCT5PCT         RB50_LAREA     
##  Min.   : 0.7095   Min.   :   0.00   Min.   : 0.000   Min.   :      0  
##  1st Qu.:12.5634   1st Qu.:  14.84   1st Qu.: 1.310   1st Qu.: 107913  
##  Median :18.7383   Median :  70.90   Median : 3.935   Median : 238218  
##  Mean   :21.0212   Mean   : 149.55   Mean   : 7.495   Mean   : 508268  
##  3rd Qu.:26.6910   3rd Qu.: 183.52   3rd Qu.: 9.729   3rd Qu.: 580571  
##  Max.   :56.0338   Max.   :1304.97   Max.   :51.993   Max.   :3708700  
##                                                                        
##    RB50_LABGP      RB50_IMPP           RB50_FORP          RB50_VEGP       
##  Min.   : 0.00   Min.   :-9999.000   Min.   :-9999.00   Min.   :-9999.00  
##  1st Qu.:11.18   1st Qu.:    6.214   1st Qu.:   67.45   1st Qu.:   79.43  
##  Median :14.95   Median :   11.291   Median :   77.40   Median :   87.11  
##  Mean   :14.77   Mean   : -608.131   Mean   : -551.83   Mean   : -542.17  
##  3rd Qu.:18.83   3rd Qu.:   16.166   3rd Qu.:   82.91   3rd Qu.:   91.30  
##  Max.   :38.34   Max.   :   77.316   Max.   :   97.30   Max.   :   99.52  
##                                                                           
##    RB15_LAREA        RB15_LABGP       RB15_IMPP           RB15_FORP       
##  Min.   :      0   Min.   : 0.000   Min.   :-9999.000   Min.   :-9999.00  
##  1st Qu.:  33476   1st Qu.: 3.316   1st Qu.:    3.385   1st Qu.:   75.57  
##  Median :  73033   Median : 4.521   Median :    6.479   Median :   84.05  
##  Mean   : 158078   Mean   : 4.533   Mean   : -664.757   Mean   : -597.44  
##  3rd Qu.: 181314   3rd Qu.: 5.798   3rd Qu.:   10.549   3rd Qu.:   89.95  
##  Max.   :1114836   Max.   :14.405   Max.   :   77.291   Max.   :   99.58  
##                                                                           
##    RB15_VEGP           TREE_POP           TREE_PCT       GREEN_POP       
##  Min.   :-9999.00   Min.   :   31.98   Min.   :10.80   Min.   :   51.95  
##  1st Qu.:   87.42   1st Qu.:  303.92   1st Qu.:48.09   1st Qu.:  393.34  
##  Median :   91.94   Median :  648.88   Median :59.83   Median :  808.49  
##  Mean   : -589.49   Mean   : 1069.54   Mean   :56.85   Mean   : 1303.48  
##  3rd Qu.:   95.67   3rd Qu.: 1126.58   3rd Qu.:67.24   3rd Qu.: 1418.53  
##  Max.   :   99.92   Max.   :11425.13   Max.   :88.89   Max.   :12008.74  
##                                                                          
##    GREEN_PCT        IMP_POP           IMP_PCT         DRK_PCTIMP   
##  Min.   :21.93   Min.   :  77.51   Min.   : 5.789   Min.   :35.56  
##  1st Qu.:65.01   1st Qu.: 181.37   1st Qu.:17.683   1st Qu.:72.70  
##  Median :72.44   Median : 274.84   Median :25.955   Median :79.89  
##  Mean   :71.40   Mean   : 335.25   Mean   :27.455   Mean   :78.45  
##  3rd Qu.:81.43   3rd Qu.: 393.65   3rd Qu.:33.777   3rd Qu.:86.10  
##  Max.   :93.43   Max.   :1635.62   Max.   :76.829   Max.   :97.39  
##                                                                    
##    SUM_HOUSIN       SUM_POP10       under_1        under_1pct    
##  Min.   :   0.0   Min.   : 177   Min.   : 0.00   Min.   :0.0000  
##  1st Qu.: 495.0   1st Qu.:1119   1st Qu.:12.00   1st Qu.:0.8865  
##  Median : 741.0   Median :1635   Median :20.00   Median :1.3172  
##  Mean   : 773.7   Mean   :1766   Mean   :24.54   Mean   :1.3633  
##  3rd Qu.:1034.0   3rd Qu.:2274   3rd Qu.:33.00   3rd Qu.:1.8382  
##  Max.   :2135.0   Max.   :4164   Max.   :87.00   Max.   :3.2486  
##                                                                  
##     under_13       under_13pc       over_70        over_70pct    
##  Min.   :  0.0   Min.   : 0.00   Min.   :  0.0   Min.   : 0.000  
##  1st Qu.:153.0   1st Qu.:12.60   1st Qu.: 49.0   1st Qu.: 3.333  
##  Median :227.0   Median :16.21   Median : 90.0   Median : 5.468  
##  Mean   :289.6   Mean   :15.91   Mean   :111.1   Mean   : 6.761  
##  3rd Qu.:405.0   3rd Qu.:20.31   3rd Qu.:146.0   3rd Qu.: 8.352  
##  Max.   :994.0   Max.   :28.68   Max.   :656.0   Max.   :56.295  
##                                                                  
##     Density          PLx2_Pop         PLx2_Pct         NonWhite     
##  Min.   :0.0778   Min.   :   0.0   Min.   :  0.00   Min.   :  13.0  
##  1st Qu.:0.5554   1st Qu.: 214.0   1st Qu.: 18.05   1st Qu.: 394.0  
##  Median :0.9241   Median : 475.0   Median : 35.92   Median : 765.0  
##  Mean   :1.2096   Mean   : 573.2   Mean   : 39.74   Mean   : 923.9  
##  3rd Qu.:1.5441   3rd Qu.: 851.0   3rd Qu.: 60.39   3rd Qu.:1262.0  
##  Max.   :6.2785   Max.   :2411.0   Max.   :100.00   Max.   :3573.0  
##                                                                     
##    NonWt_Pct         K12_COUNT        DAY_COUNT        K12_LOW     
##  Min.   :  5.179   Min.   :0.0000   Min.   :0.000   Min.   :  0.0  
##  1st Qu.: 28.037   1st Qu.:0.0000   1st Qu.:0.000   1st Qu.:  0.0  
##  Median : 45.748   Median :0.0000   Median :1.000   Median :999.0  
##  Mean   : 51.800   Mean   :0.5907   Mean   :1.093   Mean   :600.5  
##  3rd Qu.: 74.526   3rd Qu.:1.0000   3rd Qu.:2.000   3rd Qu.:999.0  
##  Max.   :100.000   Max.   :5.0000   Max.   :6.000   Max.   :999.0  
##                                                                    
##     DAY_LOW         KGCSTOR              KGCSEQ           DOLCSTOR       
##  Min.   :  0.0   Min.   :   300625   Min.   :  12197   Min.   :   23599  
##  1st Qu.:  0.0   1st Qu.:  3255115   1st Qu.: 132067   1st Qu.:  255527  
##  Median :  0.0   Median :  8177954   Median : 331797   Median :  641969  
##  Mean   :429.7   Mean   : 14525310   Mean   : 589323   Mean   : 1140237  
##  3rd Qu.:999.0   3rd Qu.: 16714592   3rd Qu.: 678147   3rd Qu.: 1312095  
##  Max.   :999.0   Max.   :133158402   Max.   :5402526   Max.   :10452935  
##                                                                          
##     DOLCSEQ           maxtempred       maxtempr_1       CORemoval      
##  Min.   :   957.5   Min.   :-1.580   Min.   :-2.970   Min.   :   6.37  
##  1st Qu.: 10367.3   1st Qu.:-1.190   1st Qu.:-2.220   1st Qu.:  68.98  
##  Median : 26046.1   Median :-1.060   Median :-1.970   Median : 173.29  
##  Mean   : 46261.9   Mean   :-1.007   Mean   :-1.885   Mean   : 307.79  
##  3rd Qu.: 53234.6   3rd Qu.:-0.860   3rd Qu.:-1.610   3rd Qu.: 354.20  
##  Max.   :424098.3   Max.   :-0.200   Max.   :-0.350   Max.   :2821.55  
##                                                                        
##    NO2Removal         O3Removal         PM25Remova       SO2Removal     
##  Min.   :   30.39   Min.   :  214.6   Min.   :  13.1   Min.   :  13.49  
##  1st Qu.:  329.06   1st Qu.: 2274.4   1st Qu.: 159.4   1st Qu.: 134.39  
##  Median :  826.54   Median : 5681.1   Median : 351.5   Median : 355.74  
##  Mean   : 1468.21   Mean   :10330.7   Mean   : 668.3   Mean   : 624.41  
##  3rd Qu.: 1689.37   3rd Qu.:11931.7   3rd Qu.: 769.2   3rd Qu.: 734.67  
##  Max.   :13458.38   Max.   :95049.3   Max.   :5335.4   Max.   :5974.14  
##                                                                         
##    PM10Remove         PM10Value           COValue            Change     
##  Min.   :   43.06   Min.   :   305.6   Min.   :   9.62   Min.   :0.910  
##  1st Qu.:  363.18   1st Qu.:  2577.4   1st Qu.: 104.13   1st Qu.:2.720  
##  Median :  950.18   Median :  6743.2   Median : 261.62   Median :3.280  
##  Mean   : 1986.17   Mean   : 14095.5   Mean   : 464.68   Mean   :3.195  
##  3rd Qu.: 2244.72   3rd Qu.: 15930.4   3rd Qu.: 534.74   3rd Qu.:3.690  
##  Max.   :28167.66   Max.   :199901.0   Max.   :4259.77   Max.   :4.720  
##                                                                         
##      Runoff           TSSmed             BODmed            CODmed        
##  Min.   :  1824   Min.   :   99.39   Min.   :  20.97   Min.   :   81.52  
##  1st Qu.:  9549   1st Qu.:  520.41   1st Qu.: 109.81   1st Qu.:  426.83  
##  Median : 20826   Median : 1135.00   Median : 239.49   Median :  930.90  
##  Mean   : 35339   Mean   : 1925.97   Mean   : 406.40   Mean   : 1579.65  
##  3rd Qu.: 41654   3rd Qu.: 2270.14   3rd Qu.: 479.02   3rd Qu.: 1861.93  
##  Max.   :288488   Max.   :15722.60   Max.   :3317.61   Max.   :12895.41  
##                                                                          
##      TPmed           SolPmed          TKNmed          NO2_3med     
##  Min.   : 0.470   Min.   : 0.19   Min.   :  2.68   Min.   :  0.97  
##  1st Qu.: 2.470   1st Qu.: 0.98   1st Qu.: 14.04   1st Qu.:  5.09  
##  Median : 5.390   Median : 2.15   Median : 30.61   Median : 11.10  
##  Mean   : 9.152   Mean   : 3.64   Mean   : 51.95   Mean   : 18.84  
##  3rd Qu.:10.790   3rd Qu.: 4.29   3rd Qu.: 61.23   3rd Qu.: 22.20  
##  Max.   :74.720   Max.   :29.71   Max.   :424.08   Max.   :153.76  
##                                                                    
##      Cumed           TSSmean           BODmean           CODmean        
##  Min.   :0.0200   Min.   :  143.0   Min.   :  25.71   Min.   :   96.29  
##  1st Qu.:0.1100   1st Qu.:  748.6   1st Qu.: 134.64   1st Qu.:  504.18  
##  Median :0.2300   Median : 1632.7   Median : 293.64   Median : 1099.59  
##  Mean   :0.3924   Mean   : 2770.6   Mean   : 498.28   Mean   : 1865.89  
##  3rd Qu.:0.4600   3rd Qu.: 3265.7   3rd Qu.: 587.32   3rd Qu.: 2199.33  
##  Max.   :3.2000   Max.   :22617.5   Max.   :4067.68   Max.   :15232.17  
##                                                                         
##      TPmean         SolPmean         TKNmean          NO23mean     
##  Min.   : 0.57   Min.   : 0.240   Min.   :  3.15   Min.   :  1.20  
##  1st Qu.: 3.01   1st Qu.: 1.230   1st Qu.: 16.52   1st Qu.:  6.28  
##  Median : 6.56   Median : 2.690   Median : 36.03   Median : 13.70  
##  Mean   :11.13   Mean   : 4.559   Mean   : 61.14   Mean   : 23.25  
##  3rd Qu.:13.12   3rd Qu.: 5.370   3rd Qu.: 72.06   3rd Qu.: 27.41  
##  Max.   :90.87   Max.   :37.210   Max.   :499.08   Max.   :189.83  
##                                                                    
##      Cumean          MTCSTOR             MTCSEQ          Pop_Not      
##  Min.   :0.0200   Min.   :   300.6   Min.   :  12.2   Min.   :   0.0  
##  1st Qu.:0.1300   1st Qu.:  3255.1   1st Qu.: 132.1   1st Qu.: 343.3  
##  Median :0.2800   Median :  8177.9   Median : 331.8   Median : 545.4  
##  Mean   :0.4772   Mean   : 14525.3   Mean   : 589.3   Mean   : 624.7  
##  3rd Qu.:0.5600   3rd Qu.: 16714.6   3rd Qu.: 678.1   3rd Qu.: 796.9  
##  Max.   :3.8900   Max.   :133158.4   Max.   :5402.5   Max.   :2528.1  
##                                                                       
##     Pop_Suff         Pop_All          Pct_All         Lane_PctN    
##  Min.   :   0.0   Min.   :   0.0   Min.   :  0.00   Min.   : 0.00  
##  1st Qu.: 189.2   1st Qu.: 602.3   1st Qu.: 42.99   1st Qu.:30.05  
##  Median : 341.4   Median : 879.8   Median : 60.73   Median :42.62  
##  Mean   : 378.4   Mean   :1000.2   Mean   : 60.48   Mean   :42.24  
##  3rd Qu.: 516.8   3rd Qu.:1294.5   3rd Qu.: 82.25   3rd Qu.:54.76  
##  Max.   :1348.4   Max.   :3052.8   Max.   :100.00   Max.   :83.47  
##                                                                    
##    Lane_PctY        POPPARK           POPNON           PCTPARK      
##  Min.   : 0.00   Min.   :   0.0   Min.   :  30.02   Min.   : 0.000  
##  1st Qu.:43.73   1st Qu.:   0.0   1st Qu.: 816.00   1st Qu.: 0.000  
##  Median :56.40   Median : 134.0   Median :1373.80   Median : 8.637  
##  Mean   :55.69   Mean   : 288.3   Mean   :1477.81   Mean   :20.945  
##  3rd Qu.:68.88   3rd Qu.: 493.9   3rd Qu.:2032.00   3rd Qu.:33.161  
##  Max.   :97.24   Max.   :1736.7   Max.   :4164.00   Max.   :97.339  
##                                                                     
##      PCTNON          DWDBYBGDNC            Blockgroup 
##  Min.   :  2.661   Min.   : 12.83   370630001011:  1  
##  1st Qu.: 66.839   1st Qu.: 77.23   370630001012:  1  
##  Median : 91.363   Median :109.76   370630001021:  1  
##  Mean   : 79.055   Mean   :120.32   370630001022:  1  
##  3rd Qu.:100.000   3rd Qu.:152.98   370630002001:  1  
##  Max.   :100.000   Max.   :301.83   370630002002:  1  
##                                     (Other)     :187
moran.test(PCTPARK, Durham.lw)
## 
##  Moran's I test under randomisation
## 
## data:  PCTPARK  
## weights: Durham.lw  
## 
## Moran I statistic standard deviate = 11.877, p-value < 2.2e-16
## alternative hypothesis: greater
## sample estimates:
## Moran I statistic       Expectation          Variance 
##       0.507201107      -0.005208333       0.001861317
localmoran(PCTPARK, Durham.lw)
##               Ii         E.Ii     Var.Ii         Z.Ii    Pr(z > 0)
## 0    0.052515066 -0.005208333 0.16006585  0.144278813 4.426402e-01
## 1    0.021026339 -0.005208333 0.19309650  0.059701941 4.761965e-01
## 2   -0.079580415 -0.005208333 0.11877754 -0.215795695 5.854265e-01
## 3   -0.137771872 -0.005208333 0.16006585 -0.331340672 6.298064e-01
## 4   -0.283981537 -0.005208333 0.11877754 -0.808879564 7.907078e-01
## 5    2.907844286 -0.005208333 0.19309650  6.629200169 1.687553e-11
## 6    1.337885841 -0.005208333 0.11877754  3.897079839 4.867977e-05
## 7    1.712418088 -0.005208333 0.13647253  4.649498285 1.663717e-06
## 8    2.832768768 -0.005208333 0.13647253  7.682211628 7.818262e-15
## 9    2.207686164 -0.005208333 0.16006585  5.531098185 1.591161e-08
## 10  -0.037830658 -0.005208333 0.16006585 -0.081539035 5.324934e-01
## 11  -0.433095698 -0.005208333 0.19309650 -0.973738329 8.349068e-01
## 12   2.262839605 -0.005208333 0.19309650  5.161370473 1.225742e-07
## 13   1.074753026 -0.005208333 0.16006585  2.699347990 3.473774e-03
## 14   3.728284957 -0.005208333 0.24264247  7.579350105 1.736451e-14
## 15   0.884578953 -0.005208333 0.13647253  2.408593866 8.007054e-03
## 16   0.533314854 -0.005208333 0.10501477  1.661801763 4.827626e-02
## 17   1.196299526 -0.005208333 0.16006585  3.003151731 1.335996e-03
## 18   3.177079137 -0.005208333 0.16006585  7.954082072 9.023224e-16
## 19   3.721750284 -0.005208333 0.24264247  7.566084089 1.923216e-14
## 20   2.383636674 -0.005208333 0.16006585  5.970883973 1.179858e-09
## 21  -0.235392428 -0.005208333 0.13647253 -0.623092739 7.333882e-01
## 22   0.028920031 -0.005208333 0.19309650  0.077665524 4.690471e-01
## 23  -0.430961600 -0.005208333 0.09400455 -1.388620404 9.175259e-01
## 24   3.726216272 -0.005208333 0.16006585  9.326642498 5.463886e-21
## 25   2.589763038 -0.005208333 0.10501477  8.007692336 5.844043e-16
## 26   0.491570696 -0.005208333 0.16006585  1.241692087 1.071751e-01
## 27   2.443318871 -0.005208333 0.13647253  6.627997157 1.701360e-11
## 28   4.524742937 -0.005208333 0.24264247  9.196236329 1.853534e-20
## 29   2.595425539 -0.005208333 0.19309650  5.918232438 1.627099e-09
## 30   0.580755835 -0.005208333 0.16006585  1.464609067 7.151380e-02
## 31  -0.003739329 -0.005208333 0.13647253  0.003976495 4.984136e-01
## 32   0.012434691 -0.005208333 0.11877754  0.051192446 4.795861e-01
## 33   0.079502070 -0.005208333 0.11877754  0.245793043 4.029212e-01
## 34  -0.446528597 -0.005208333 0.24264247 -0.895922539 8.148529e-01
## 35   0.910239685 -0.005208333 0.19309650  2.083274472 1.861311e-02
## 36   2.840530815 -0.005208333 0.16006585  7.112884350 5.682125e-13
## 37  -0.900109381 -0.005208333 0.13647253 -2.422436472 9.922916e-01
## 38   4.000572634 -0.005208333 0.19309650  9.115909439 3.900669e-20
## 39  -0.002739855 -0.005208333 0.11877754  0.007162460 4.971426e-01
## 40  -0.283491305 -0.005208333 0.32521909 -0.487976177 6.872166e-01
## 41   0.315709491 -0.005208333 0.11877754  0.931165072 1.758841e-01
## 42   1.005166563 -0.005208333 0.32521909  1.771717744 3.822071e-02
## 43   1.323253224 -0.005208333 0.11877754  3.854622296 5.795422e-05
## 44  -0.068926552 -0.005208333 0.16006585 -0.159262777 5.632691e-01
## 45   0.050308894 -0.005208333 0.19309650  0.126339912 4.497314e-01
## 46  -0.128285796 -0.005208333 0.32521909 -0.215819420 5.854357e-01
## 47   0.030137434 -0.005208333 0.11877754  0.102558168 4.591568e-01
## 48  -0.364267836 -0.005208333 0.16006585 -0.897464098 8.152643e-01
## 49   0.983204378 -0.005208333 0.16006585  2.470523452 6.745774e-03
## 50   0.320520788 -0.005208333 0.19309650  0.741257995 2.292685e-01
## 51   0.528228889 -0.005208333 0.32521909  0.935395561 1.747922e-01
## 52  -0.163377498 -0.005208333 0.19309650 -0.359943740 6.405554e-01
## 53   0.324402103 -0.005208333 0.13647253  0.892233107 1.861340e-01
## 54   0.570802156 -0.005208333 0.49037232  0.822559678 2.053792e-01
## 55   0.408252199 -0.005208333 0.16006585  1.033438693 1.506993e-01
## 56   0.558054975 -0.005208333 0.98583204  0.567296361 2.852564e-01
## 57  -0.140419741 -0.005208333 0.11877754 -0.392325171 6.525910e-01
## 58   0.089134060 -0.005208333 0.10501477  0.291126473 3.854773e-01
## 59  -0.510927508 -0.005208333 0.16006585 -1.264037853 8.968918e-01
## 60  -0.005799096 -0.005208333 0.13647253 -0.001599154 5.006380e-01
## 61  -0.383442029 -0.005208333 0.19309650 -0.860742049 8.053099e-01
## 62   0.519138953 -0.005208333 0.32521909  0.919456129 1.789285e-01
## 63   0.172410123 -0.005208333 0.09400455  0.579313496 2.811888e-01
## 64   0.536702073 -0.005208333 0.32521909  0.950253500 1.709917e-01
## 65   0.374760201 -0.005208333 0.11877754  1.102504756 1.351211e-01
## 66   0.546544970 -0.005208333 0.24264247  1.120112221 1.313330e-01
## 67   0.113548828 -0.005208333 0.24264247  0.241088448 4.047433e-01
## 68  -0.331351399 -0.005208333 0.32521909 -0.571900053 7.163052e-01
## 69  -0.110358346 -0.005208333 0.24264247 -0.213464629 5.845177e-01
## 70  -0.004484422 -0.005208333 0.10501477  0.002233883 4.991088e-01
## 71   0.096151221 -0.005208333 0.10501477  0.312780378 3.772238e-01
## 72  -0.013303961 -0.005208333 0.32521909 -0.014195887 5.056631e-01
## 73   0.310424355 -0.005208333 0.13647253  0.854396290 1.964427e-01
## 74  -0.019883015 -0.005208333 0.19309650 -0.033395003 5.133202e-01
## 75   0.284437657 -0.005208333 0.19309650  0.659144031 2.549016e-01
## 76   0.560253624 -0.005208333 0.24264247  1.147942105 1.254962e-01
## 77   0.400967663 -0.005208333 0.16006585  1.015231100 1.549978e-01
## 78   0.109327852 -0.005208333 0.10501477  0.353441483 3.618787e-01
## 79   0.580349033 -0.005208333 0.32521909  1.026789542 1.522598e-01
## 80   0.255268802 -0.005208333 0.11877754  0.755792268 2.248869e-01
## 81   0.436096202 -0.005208333 0.24264247  0.895890608 1.851556e-01
## 82   0.049856950 -0.005208333 0.16006585  0.137634890 4.452645e-01
## 83  -0.067770972 -0.005208333 0.16006585 -0.156374423 5.621311e-01
## 84   0.549061569 -0.005208333 0.24264247  1.125221157 1.302477e-01
## 85   0.347606973 -0.005208333 0.11877754  1.023717802 1.529843e-01
## 86   0.551270332 -0.005208333 0.19309650  1.266372066 1.026900e-01
## 87   0.504235660 -0.005208333 0.16006585  1.273347984 1.014473e-01
## 88   0.544000657 -0.005208333 0.24264247  1.114947020 1.324366e-01
## 89   0.529111490 -0.005208333 0.19309650  1.215945444 1.120029e-01
## 90   0.317898651 -0.005208333 0.16006585  0.807601291 2.096601e-01
## 91   0.541458425 -0.005208333 0.24264247  1.109786044 1.335456e-01
## 92   0.049708395 -0.005208333 0.11877754  0.159344651 4.366987e-01
## 93   0.418046850 -0.005208333 0.08499620  1.451785793 7.328059e-02
## 94   0.517143742 -0.005208333 0.24264247  1.060424901 1.444757e-01
## 95   0.554234561 -0.005208333 0.19309650  1.273117727 1.014881e-01
## 96   0.445360571 -0.005208333 0.16006585  1.126190540 1.300424e-01
## 97   0.219764377 -0.005208333 0.11877754  0.652773745 2.569511e-01
## 98  -0.040438896 -0.005208333 0.16006585 -0.088058289 5.350848e-01
## 99  -0.032103235 -0.005208333 0.11877754 -0.078037402 5.311008e-01
## 100  0.576975831 -0.005208333 0.19309650  1.324869772 9.260717e-02
## 101  0.580349033 -0.005208333 0.24264247  1.188737717 1.172714e-01
## 102  0.576132530 -0.005208333 0.24264247  1.180177810 1.189648e-01
## 103  0.099028448 -0.005208333 0.19309650  0.237210439 4.062468e-01
## 104  0.540241802 -0.005208333 0.16006585  1.363344821 8.638693e-02
## 105  0.337492250 -0.005208333 0.13647253  0.927667249 1.767901e-01
## 106  0.528080188 -0.005208333 0.24264247  1.082626939 1.394870e-01
## 107  0.551006919 -0.005208333 0.16006585  1.390252078 8.222617e-02
## 108 -0.004605049 -0.005208333 0.16006585  0.001507900 4.993984e-01
## 109  0.124637437 -0.005208333 0.19309650  0.295488519 3.838104e-01
## 110  0.372938749 -0.005208333 0.10501477  1.166905165 1.216243e-01
## 111  0.150854650 -0.005208333 0.10501477  0.481586953 3.150497e-01
## 112  0.390628299 -0.005208333 0.19309650  0.900800848 1.838471e-01
## 113  0.292162574 -0.005208333 0.13647253  0.804962889 2.104205e-01
## 114  0.502992746 -0.005208333 0.16006585  1.270241339 1.019993e-01
## 115  0.400984749 -0.005208333 0.16006585  1.015273808 1.549877e-01
## 116  0.435829722 -0.005208333 0.24264247  0.895349629 1.853001e-01
## 117  0.558420724 -0.005208333 0.24264247  1.144221140 1.262660e-01
## 118  0.555979326 -0.005208333 0.16006585  1.402680539 8.035606e-02
## 119  0.443988405 -0.005208333 0.10501477  1.386153743 8.284998e-02
## 120  0.492167920 -0.005208333 0.13647253  1.346363801 8.909261e-02
## 121  0.023617709 -0.005208333 0.16006585  0.072050281 4.712809e-01
## 122  0.193656668 -0.005208333 0.16006585  0.497060230 3.095733e-01
## 123  0.561964609 -0.005208333 0.19309650  1.290708908 9.840232e-02
## 124  0.466450804 -0.005208333 0.11877754  1.368551326 8.556978e-02
## 125  0.375777036 -0.005208333 0.13647253  1.031301568 1.511997e-01
## 126  0.571238560 -0.005208333 0.19309650  1.311813532 9.479153e-02
## 127  0.580349033 -0.005208333 0.24264247  1.188737717 1.172714e-01
## 128  0.170552566 -0.005208333 0.16006585  0.439311856 3.302178e-01
## 129  0.334339949 -0.005208333 0.16006585  0.848696080 1.980252e-01
## 130  0.543069660 -0.005208333 0.24264247  1.113057006 1.328420e-01
## 131  0.168712537 -0.005208333 0.19309650  0.395789715 3.461301e-01
## 132  0.245241763 -0.005208333 0.13647253  0.677951432 2.489012e-01
## 133 -0.044389598 -0.005208333 0.11877754 -0.113687127 5.452571e-01
## 134  0.477978683 -0.005208333 0.09400455  1.575944103 5.751934e-02
## 135  0.469542629 -0.005208333 0.19309650  1.080385276 1.399853e-01
## 136  0.528494889 -0.005208333 0.32521909  0.935861997 1.746721e-01
## 137  0.580349033 -0.005208333 0.49037232  0.836192897 2.015232e-01
## 138  1.991518842 -0.005208333 0.08499620  6.848870986 3.721754e-12
## 139  1.194482554 -0.005208333 0.16006585  2.998610235 1.356070e-03
## 140  2.346766344 -0.005208333 0.19309650  5.352361583 4.340685e-08
## 141  0.170018852 -0.005208333 0.24264247  0.355728023 3.610221e-01
## 142  0.344189392 -0.005208333 0.19309650  0.795120365 2.132717e-01
## 143  0.478494888 -0.005208333 0.24264247  0.981964014 1.630588e-01
## 144  0.345579001 -0.005208333 0.13647253  0.949557533 1.711686e-01
## 145  0.339468893 -0.005208333 0.16006585  0.861515805 1.944770e-01
## 146  0.533053820 -0.005208333 0.32521909  0.943856197 1.726216e-01
## 147 -0.215262163 -0.005208333 0.16006585 -0.525026547 7.002176e-01
## 148 -0.020683947 -0.005208333 0.19309650 -0.035217675 5.140469e-01
## 149 -0.025598525 -0.005208333 0.13647253 -0.055194866 5.220084e-01
## 150  0.073378920 -0.005208333 0.19309650  0.178840104 4.290316e-01
## 151  0.164141001 -0.005208333 0.32521909  0.296958310 3.832492e-01
## 152  0.101981436 -0.005208333 0.13647253  0.290155440 3.858487e-01
## 153  0.386608785 -0.005208333 0.24264247  0.795426397 2.131828e-01
## 154  0.318784742 -0.005208333 0.19309650  0.737307296 2.304677e-01
## 155  0.252885606 -0.005208333 0.19309650  0.587341394 2.784872e-01
## 156  0.045422919 -0.005208333 0.32521909  0.088783172 4.646271e-01
## 157  0.023313359 -0.005208333 0.13647253  0.077206287 4.692297e-01
## 158  0.063793904 -0.005208333 0.32521909  0.120997155 4.518466e-01
## 159  0.226800125 -0.005208333 0.32521909  0.406832656 3.420655e-01
## 160 -0.012326635 -0.005208333 0.24264247 -0.014450836 5.057648e-01
## 161  0.168399380 -0.005208333 0.32521909  0.304425484 3.804019e-01
## 162  0.207195781 -0.005208333 0.24264247  0.431200760 3.331612e-01
## 163 -0.356312646 -0.005208333 0.19309650 -0.799004026 7.878560e-01
## 164  0.074322243 -0.005208333 0.24264247  0.161454712 4.358676e-01
## 165  0.344784565 -0.005208333 0.19309650  0.796474793 2.128781e-01
## 166  0.187140301 -0.005208333 0.19309650  0.437725564 3.307926e-01
## 167 -0.029153267 -0.005208333 0.10501477 -0.073890472 5.294512e-01
## 168  0.453262010 -0.005208333 0.24264247  0.930738847 1.759943e-01
## 169  0.296353646 -0.005208333 0.11877754  0.875002761 1.907862e-01
## 170  1.853775998 -0.005208333 0.19309650  4.230469152 1.166022e-05
## 171  1.700954964 -0.005208333 0.19309650  3.882696091 5.165232e-05
## 172  0.039281766 -0.005208333 0.19309650  0.101245604 4.596777e-01
## 173 -0.191577637 -0.005208333 0.19309650 -0.424118470 6.642603e-01
## 174  0.147726581 -0.005208333 0.24264247  0.310472571 3.781008e-01
## 175  0.422170520 -0.005208333 0.13647253  1.156885584 1.236596e-01
## 176  0.015320787 -0.005208333 0.11877754  0.059566650 4.762504e-01
## 177  0.206403252 -0.005208333 0.11877754  0.614005523 2.696058e-01
## 178  0.032909170 -0.005208333 0.13647253  0.103181498 4.589095e-01
## 179 -0.027082814 -0.005208333 0.19309650 -0.049779503 5.198509e-01
## 180  0.319794088 -0.005208333 0.19309650  0.739604253 2.297701e-01
## 181  0.388934431 -0.005208333 0.16006585  0.985154209 1.622742e-01
## 182  0.264484362 -0.005208333 0.11877754  0.782531846 2.169510e-01
## 183  0.197081530 -0.005208333 0.16006585  0.505620625 3.065615e-01
## 184  0.048390942 -0.005208333 0.16006585  0.133970622 4.467129e-01
## 185 -0.012786974 -0.005208333 0.16006585 -0.018942704 5.075566e-01
## 186  0.025880046 -0.005208333 0.13647253  0.084154136 4.664669e-01
## 187 -0.052218387 -0.005208333 0.24264247 -0.095434926 5.380153e-01
## 188  0.080553427 -0.005208333 0.10501477  0.264647927 3.956403e-01
## 189  0.129111560 -0.005208333 0.32521909  0.235533305 4.068974e-01
## 190  0.322993411 -0.005208333 0.11877754  0.952299866 1.704725e-01
## 191  0.179867959 -0.005208333 0.32521909  0.324535925 3.727662e-01
## 192 -0.568820827 -0.005208333 0.24264247 -1.144187515 8.737271e-01
## attr(,"call")
## localmoran(x = PCTPARK, listw = Durham.lw)
## attr(,"class")
## [1] "localmoran" "matrix"
geary.test(PCTPARK, Durham.lw)
## 
##  Geary's C test under randomisation
## 
## data:  PCTPARK 
## weights: Durham.lw 
## 
## Geary C statistic standard deviate = 10.9738, p-value < 2.2e-16
## alternative hypothesis: Expectation greater than statistic
## sample estimates:
## Geary C statistic       Expectation          Variance 
##       0.472982891       1.000000000       0.002306409
localG(PCTPARK, Durham.lw)
##   [1]  0.554813269 -0.120922808  2.159059135 -0.584441116  1.787917705
##   [6]  3.490186014  1.607046012  2.638049022  2.940888399  2.252263858
##  [11]  3.752924427  4.218303274  2.999365300  1.264397050  3.791134160
##  [16]  2.972299613  2.704682817  1.329608357  3.422261869  3.140339100
##  [21]  2.756152017  1.820856315  0.182860002  3.535933564  4.809980014
##  [26]  3.244692893  0.757728859  3.802431306  3.602504859  2.425907407
##  [31]  1.768699104  1.308284993  0.153311581  0.310890740  2.509666999
##  [36]  2.213742596  3.437087977  3.376974573  3.345864958  3.331494038
##  [41]  1.786201981  1.577027484  1.778467354  1.938594671  1.577930434
##  [46]  1.156348133  0.285992339  0.176005672 -0.416422406  4.443818571
##  [51] -1.250065891 -1.212917586 -1.413866049 -1.192621698 -1.066888126
##  [56] -1.391152575 -0.735711648 -1.117455791 -0.372036688  1.653114305
##  [61] -0.159718678  1.127270638 -1.217212079 -0.748924141 -1.232262985
##  [66] -1.813290328 -1.457453857 -1.200850528 -0.612349260 -0.494987921
##  [71]  0.006247275 -0.941473047  0.053317780 -1.104914433 -0.848508670
##  [76] -0.851811405 -1.488928681 -1.314896201 -0.451514909 -1.331914774
##  [81] -1.129049663 -1.207390581 -0.318242115 -0.651565032 -1.459344314
##  [86] -1.597674615 -1.642498362 -1.787031823 -1.445966621 -1.576836584
##  [91] -1.419805765 -1.439246646 -0.299258860 -2.038651791 -1.374974760
##  [96] -1.651282057 -1.706046901  0.626629768  0.271648968 -0.329338843
## [101] -1.718669702 -1.542047608 -1.530901972 -0.302401021 -1.768201714
## [106] -1.272091879 -1.403883467 -1.803239712  0.022462924 -0.835050193
## [111] -1.674559259 -1.326335630 -1.314564226 -1.757143847 -1.718424391
## [116] -1.314951815 -1.160034453 -1.484083708 -1.873139215 -1.949972391
## [121] -1.745568466 -1.693048036 -1.359950475 -1.674187978 -1.773979056
## [126] -1.335285499 -1.701668842 -1.542047608 -1.092674218 -1.447273534
## [131] -1.443505682 -0.818270334 -0.885681198  0.156311495 -2.043205044
## [136] -1.400320266 -1.213524897 -1.084638231  5.485094297  4.019533427
## [141]  2.782771578 -0.845617029 -1.028869622 -1.272812837 -1.228836100
## [146] -1.452041120 -1.223933540 -1.226192095 -0.418766212 -0.130915869
## [151] -0.226395534 -0.585027990 -0.415993977 -1.029926957 -1.082824529
## [156] -1.047776703 -0.138874784 -0.285222820  0.154175757  0.379886942
## [161] -0.232179151 -0.391379188 -0.555678033 -1.137523180 -0.273325580
## [166] -1.030633258  0.405576577  0.539580624  1.775939128  1.172679211
## [171]  1.984348599  1.451011212  0.843554697  1.181331174 -0.472157251
## [176]  2.535890150 -1.001261959 -0.959363840 -0.212407758 -0.752153227
## [181] -1.143139107 -1.275730781 -1.384648343 -0.750895055 -1.037666675
## [186] -0.477672047 -0.172255356 -0.407503505 -0.406349745 -0.339148526
## [191] -1.231902807 -0.421172379 -1.407762805
## attr(,"gstari")
## [1] FALSE
## attr(,"call")
## localG(x = PCTPARK, listw = Durham.lw)
## attr(,"class")
## [1] "localG"