library(nlme)
## Warning: package 'nlme' was built under R version 4.2.3
data()
data(MathAchSchool)
d <- MathAchSchool
str(d)
## 'data.frame':    160 obs. of  7 variables:
##  $ School : Factor w/ 160 levels "1224","1288",..: 1 2 3 4 5 6 7 8 9 10 ...
##  $ Size   : num  842 1855 1719 716 455 ...
##  $ Sector : Factor w/ 2 levels "Public","Catholic": 1 1 1 2 2 1 1 2 2 1 ...
##  $ PRACAD : num  0.35 0.27 0.32 0.96 0.95 0.25 0.5 0.96 1 0.78 ...
##  $ DISCLIM: num  1.597 0.174 -0.137 -0.622 -1.694 ...
##  $ HIMINTY: Factor w/ 2 levels "0","1": 1 1 2 1 2 1 1 1 1 1 ...
##  $ MEANSES: num  -0.428 0.128 -0.42 0.534 0.351 -0.014 -0.007 0.718 0.569 0.683 ...
names(d) <- c('Sc','Si','Se','PR','DI','HI','ME')
head(d)
##        Sc   Si       Se   PR     DI HI     ME
## 1224 1224  842   Public 0.35  1.597  0 -0.428
## 1288 1288 1855   Public 0.27  0.174  0  0.128
## 1296 1296 1719   Public 0.32 -0.137  1 -0.420
## 1308 1308  716 Catholic 0.96 -0.622  0  0.534
## 1317 1317  455 Catholic 0.95 -1.694  1  0.351
## 1358 1358 1430   Public 0.25  1.535  0 -0.014
SIZ <- d$Si
SIZ
##   [1]  842 1855 1719  716  455 1430 2400  899  185 1672  530  531 1921  100  400
##  [16] 1357  959 1646 1332 1061  773  485 1523  545  488  572 2142 1314 2713 1524
##  [31] 2475  780  270 1680  415  760 2194  963  365  760  457  686 1960 1313 2212
##  [46] 1125 2031  687  388  509 1015 1431 1137  375  670 2357 1635 1881 1061 1114
##  [61] 1910  940  801  663  510 1328 1217 1661 1061  100  728  643 1068  393  435
##  [76]  493  657  603  258  700 1118 1152  720  810  381  215 1826 1832  949 1302
##  [91] 1627 1153 2051  594 1608 2126 1037 1566 1234  296 1061 1453  565  726  336
## [106]  299 1700  745 1415 1650  100 2403  280 1154 1630  737  570 1220  978 1500
## [121] 1495 1410 1734 1580  311 1451  716  868 1346 1016 1896  106 1436 2070  153
## [136] 1400 2190 2452  652 1133  667  296  745 1069 2650  204 1061  472 1299  822
## [151]  833 1951 2350  257 1067 1184 1314 1119 1532  262
cut(SIZ,4)
##   [1] (753,1.41e+03]      (1.41e+03,2.06e+03] (1.41e+03,2.06e+03]
##   [4] (97.4,753]          (97.4,753]          (1.41e+03,2.06e+03]
##   [7] (2.06e+03,2.72e+03] (753,1.41e+03]      (97.4,753]         
##  [10] (1.41e+03,2.06e+03] (97.4,753]          (97.4,753]         
##  [13] (1.41e+03,2.06e+03] (97.4,753]          (97.4,753]         
##  [16] (753,1.41e+03]      (753,1.41e+03]      (1.41e+03,2.06e+03]
##  [19] (753,1.41e+03]      (753,1.41e+03]      (753,1.41e+03]     
##  [22] (97.4,753]          (1.41e+03,2.06e+03] (97.4,753]         
##  [25] (97.4,753]          (97.4,753]          (2.06e+03,2.72e+03]
##  [28] (753,1.41e+03]      (2.06e+03,2.72e+03] (1.41e+03,2.06e+03]
##  [31] (2.06e+03,2.72e+03] (753,1.41e+03]      (97.4,753]         
##  [34] (1.41e+03,2.06e+03] (97.4,753]          (753,1.41e+03]     
##  [37] (2.06e+03,2.72e+03] (753,1.41e+03]      (97.4,753]         
##  [40] (753,1.41e+03]      (97.4,753]          (97.4,753]         
##  [43] (1.41e+03,2.06e+03] (753,1.41e+03]      (2.06e+03,2.72e+03]
##  [46] (753,1.41e+03]      (1.41e+03,2.06e+03] (97.4,753]         
##  [49] (97.4,753]          (97.4,753]          (753,1.41e+03]     
##  [52] (1.41e+03,2.06e+03] (753,1.41e+03]      (97.4,753]         
##  [55] (97.4,753]          (2.06e+03,2.72e+03] (1.41e+03,2.06e+03]
##  [58] (1.41e+03,2.06e+03] (753,1.41e+03]      (753,1.41e+03]     
##  [61] (1.41e+03,2.06e+03] (753,1.41e+03]      (753,1.41e+03]     
##  [64] (97.4,753]          (97.4,753]          (753,1.41e+03]     
##  [67] (753,1.41e+03]      (1.41e+03,2.06e+03] (753,1.41e+03]     
##  [70] (97.4,753]          (97.4,753]          (97.4,753]         
##  [73] (753,1.41e+03]      (97.4,753]          (97.4,753]         
##  [76] (97.4,753]          (97.4,753]          (97.4,753]         
##  [79] (97.4,753]          (97.4,753]          (753,1.41e+03]     
##  [82] (753,1.41e+03]      (97.4,753]          (753,1.41e+03]     
##  [85] (97.4,753]          (97.4,753]          (1.41e+03,2.06e+03]
##  [88] (1.41e+03,2.06e+03] (753,1.41e+03]      (753,1.41e+03]     
##  [91] (1.41e+03,2.06e+03] (753,1.41e+03]      (1.41e+03,2.06e+03]
##  [94] (97.4,753]          (1.41e+03,2.06e+03] (2.06e+03,2.72e+03]
##  [97] (753,1.41e+03]      (1.41e+03,2.06e+03] (753,1.41e+03]     
## [100] (97.4,753]          (753,1.41e+03]      (1.41e+03,2.06e+03]
## [103] (97.4,753]          (97.4,753]          (97.4,753]         
## [106] (97.4,753]          (1.41e+03,2.06e+03] (97.4,753]         
## [109] (1.41e+03,2.06e+03] (1.41e+03,2.06e+03] (97.4,753]         
## [112] (2.06e+03,2.72e+03] (97.4,753]          (753,1.41e+03]     
## [115] (1.41e+03,2.06e+03] (97.4,753]          (97.4,753]         
## [118] (753,1.41e+03]      (753,1.41e+03]      (1.41e+03,2.06e+03]
## [121] (1.41e+03,2.06e+03] (1.41e+03,2.06e+03] (1.41e+03,2.06e+03]
## [124] (1.41e+03,2.06e+03] (97.4,753]          (1.41e+03,2.06e+03]
## [127] (97.4,753]          (753,1.41e+03]      (753,1.41e+03]     
## [130] (753,1.41e+03]      (1.41e+03,2.06e+03] (97.4,753]         
## [133] (1.41e+03,2.06e+03] (2.06e+03,2.72e+03] (97.4,753]         
## [136] (753,1.41e+03]      (2.06e+03,2.72e+03] (2.06e+03,2.72e+03]
## [139] (97.4,753]          (753,1.41e+03]      (97.4,753]         
## [142] (97.4,753]          (97.4,753]          (753,1.41e+03]     
## [145] (2.06e+03,2.72e+03] (97.4,753]          (753,1.41e+03]     
## [148] (97.4,753]          (753,1.41e+03]      (753,1.41e+03]     
## [151] (753,1.41e+03]      (1.41e+03,2.06e+03] (2.06e+03,2.72e+03]
## [154] (97.4,753]          (753,1.41e+03]      (753,1.41e+03]     
## [157] (753,1.41e+03]      (753,1.41e+03]      (1.41e+03,2.06e+03]
## [160] (97.4,753]         
## 4 Levels: (97.4,753] (753,1.41e+03] ... (2.06e+03,2.72e+03]
table(cut(SIZ,4),d$Sc)
##                      
##                       1224 1288 1296 1308 1317 1358 1374 1433 1436 1461 1462
##   (97.4,753]             0    0    0    1    1    0    0    0    1    0    1
##   (753,1.41e+03]         1    0    0    0    0    0    0    1    0    0    0
##   (1.41e+03,2.06e+03]    0    1    1    0    0    1    0    0    0    1    0
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0    1    0    0    0    0
##                      
##                       1477 1499 1637 1906 1909 1942 1946 2030 2208 2277 2305
##   (97.4,753]             1    0    1    1    0    0    0    0    0    0    1
##   (753,1.41e+03]         0    0    0    0    1    1    0    1    1    1    0
##   (1.41e+03,2.06e+03]    0    1    0    0    0    0    1    0    0    0    0
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0    0    0    0    0    0
##                      
##                       2336 2458 2467 2526 2626 2629 2639 2651 2655 2658 2755
##   (97.4,753]             0    1    1    1    0    0    0    0    0    0    1
##   (753,1.41e+03]         0    0    0    0    0    1    0    0    0    1    0
##   (1.41e+03,2.06e+03]    1    0    0    0    0    0    0    1    0    0    0
##   (2.06e+03,2.72e+03]    0    0    0    0    1    0    1    0    1    0    0
##                      
##                       2768 2771 2818 2917 2990 2995 3013 3020 3039 3088 3152
##   (97.4,753]             0    1    0    0    0    1    0    1    1    0    0
##   (753,1.41e+03]         0    0    1    0    1    0    1    0    0    0    1
##   (1.41e+03,2.06e+03]    1    0    0    0    0    0    0    0    0    1    0
##   (2.06e+03,2.72e+03]    0    0    0    1    0    0    0    0    0    0    0
##                      
##                       3332 3351 3377 3427 3498 3499 3533 3610 3657 3688 3705
##   (97.4,753]             0    0    0    1    1    1    0    0    0    1    1
##   (753,1.41e+03]         0    1    0    0    0    0    1    0    1    0    0
##   (1.41e+03,2.06e+03]    0    0    1    0    0    0    0    1    0    0    0
##   (2.06e+03,2.72e+03]    1    0    0    0    0    0    0    0    0    0    0
##                      
##                       3716 3838 3881 3967 3992 3999 4042 4173 4223 4253 4292
##   (97.4,753]             0    0    0    0    0    0    0    0    1    1    0
##   (753,1.41e+03]         0    0    0    1    1    0    1    1    0    0    1
##   (1.41e+03,2.06e+03]    0    1    1    0    0    1    0    0    0    0    0
##   (2.06e+03,2.72e+03]    1    0    0    0    0    0    0    0    0    0    0
##                      
##                       4325 4350 4383 4410 4420 4458 4511 4523 4530 4642 4868
##   (97.4,753]             0    0    0    1    1    1    0    1    1    1    1
##   (753,1.41e+03]         1    0    1    0    0    0    1    0    0    0    0
##   (1.41e+03,2.06e+03]    0    1    0    0    0    0    0    0    0    0    0
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0    0    0    0    0    0
##                      
##                       4931 5192 5404 5619 5640 5650 5667 5720 5761 5762 5783
##   (97.4,753]             1    1    1    0    0    1    0    1    1    0    0
##   (753,1.41e+03]         0    0    0    1    1    0    1    0    0    0    0
##   (1.41e+03,2.06e+03]    0    0    0    0    0    0    0    0    0    1    1
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0    0    0    0    0    0
##                      
##                       5815 5819 5838 5937 6074 6089 6144 6170 6291 6366 6397
##   (97.4,753]             0    0    0    0    0    1    0    0    0    0    0
##   (753,1.41e+03]         1    1    0    1    0    0    0    0    1    0    1
##   (1.41e+03,2.06e+03]    0    0    1    0    1    0    1    0    0    1    0
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0    0    1    0    0    0
##                      
##                       6415 6443 6464 6469 6484 6578 6600 6808 6816 6897 6990
##   (97.4,753]             1    0    0    1    1    1    1    0    1    0    0
##   (753,1.41e+03]         0    1    0    0    0    0    0    0    0    0    0
##   (1.41e+03,2.06e+03]    0    0    1    0    0    0    0    1    0    1    1
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0    0    0    0    0    0
##                      
##                       7011 7101 7172 7232 7276 7332 7341 7342 7345 7364 7635
##   (97.4,753]             1    0    1    0    0    1    1    0    0    0    0
##   (753,1.41e+03]         0    0    0    1    0    0    0    1    1    0    0
##   (1.41e+03,2.06e+03]    0    0    0    0    1    0    0    0    0    1    1
##   (2.06e+03,2.72e+03]    0    1    0    0    0    0    0    0    0    0    0
##                      
##                       7688 7697 7734 7890 7919 8009 8150 8165 8175 8188 8193
##   (97.4,753]             0    0    0    1    0    1    0    0    0    0    1
##   (753,1.41e+03]         0    0    0    0    0    0    1    1    1    0    0
##   (1.41e+03,2.06e+03]    1    1    1    0    1    0    0    0    0    1    0
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0    0    0    0    0    0
##                      
##                       8202 8357 8367 8477 8531 8627 8628 8707 8775 8800 8854
##   (97.4,753]             0    0    1    0    0    0    1    0    1    1    1
##   (753,1.41e+03]         0    0    0    1    0    0    0    1    0    0    0
##   (1.41e+03,2.06e+03]    1    0    0    0    0    0    0    0    0    0    0
##   (2.06e+03,2.72e+03]    0    1    0    0    1    1    0    0    0    0    0
##                      
##                       8857 8874 8946 8983 9021 9104 9158 9198 9225 9292 9340
##   (97.4,753]             0    0    1    0    1    0    0    0    0    0    1
##   (753,1.41e+03]         1    0    0    1    0    1    1    1    0    0    0
##   (1.41e+03,2.06e+03]    0    0    0    0    0    0    0    0    1    0    0
##   (2.06e+03,2.72e+03]    0    1    0    0    0    0    0    0    0    1    0
##                      
##                       9347 9359 9397 9508 9550 9586
##   (97.4,753]             0    0    0    0    0    1
##   (753,1.41e+03]         1    1    1    1    0    0
##   (1.41e+03,2.06e+03]    0    0    0    0    1    0
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0
table(cut(SIZ,4),d$Se)
##                      
##                       Public Catholic
##   (97.4,753]              19       40
##   (753,1.41e+03]          27       23
##   (1.41e+03,2.06e+03]     30        7
##   (2.06e+03,2.72e+03]     14        0
table(cut(SIZ,4),d$PR)
##                      
##                       0 0.05 0.09 0.1 0.13 0.14 0.17 0.18 0.19 0.2 0.21 0.22
##   (97.4,753]          1    1    0   1    0    1    0    2    2   0    1    0
##   (753,1.41e+03]      0    0    0   1    0    0    0    0    1   1    0    0
##   (1.41e+03,2.06e+03] 0    0    1   0    0    0    1    2    0   1    0    1
##   (2.06e+03,2.72e+03] 0    1    0   0    1    1    0    0    0   1    0    0
##                      
##                       0.23 0.24 0.25 0.26 0.27 0.28 0.3 0.31 0.32 0.33 0.35
##   (97.4,753]             1    1    0    0    0    2   2    0    1    0    0
##   (753,1.41e+03]         0    1    0    1    1    0   0    1    1    0    2
##   (1.41e+03,2.06e+03]    0    1    3    0    1    0   1    1    2    1    1
##   (2.06e+03,2.72e+03]    0    0    2    0    0    0   0    0    0    0    1
##                      
##                       0.37 0.38 0.39 0.4 0.41 0.42 0.43 0.44 0.45 0.46 0.47
##   (97.4,753]             1    1    0   0    0    0    1    2    0    1    1
##   (753,1.41e+03]         0    0    0   1    4    1    1    1    1    2    0
##   (1.41e+03,2.06e+03]    0    2    1   1    1    0    0    0    1    0    0
##   (2.06e+03,2.72e+03]    0    0    1   1    0    0    0    0    0    0    0
##                      
##                       0.48 0.5 0.52 0.53 0.54 0.55 0.56 0.58 0.59 0.6 0.62 0.63
##   (97.4,753]             1   1    0    2    0    0    1    0    0   3    0    1
##   (753,1.41e+03]         1   0    2    0    2    0    1    2    2   1    0    0
##   (1.41e+03,2.06e+03]    1   1    0    1    1    1    1    0    1   0    1    1
##   (2.06e+03,2.72e+03]    0   3    0    0    0    1    0    1    0   0    0    0
##                      
##                       0.64 0.65 0.66 0.67 0.68 0.69 0.7 0.71 0.73 0.76 0.77
##   (97.4,753]             0    1    1    0    1    2   1    1    0    0    0
##   (753,1.41e+03]         1    2    0    2    1    1   0    0    1    1    1
##   (1.41e+03,2.06e+03]    0    1    0    0    0    0   0    0    0    0    0
##   (2.06e+03,2.72e+03]    0    0    0    0    0    0   0    0    0    0    0
##                      
##                       0.78 0.79 0.8 0.81 0.82 0.83 0.85 0.87 0.89 0.9 0.91 0.92
##   (97.4,753]             0    1   0    1    1    0    0    1    1   1    1    1
##   (753,1.41e+03]         1    1   1    1    0    1    0    0    0   0    0    0
##   (1.41e+03,2.06e+03]    1    0   1    1    0    0    1    0    0   0    0    0
##   (2.06e+03,2.72e+03]    0    0   0    0    0    0    0    0    0   0    0    0
##                      
##                       0.95 0.96 0.97 1
##   (97.4,753]             1    3    1 7
##   (753,1.41e+03]         0    1    2 0
##   (1.41e+03,2.06e+03]    0    0    0 0
##   (2.06e+03,2.72e+03]    0    0    0 0
table(cut(SIZ,4),d$DI)
##                      
##                       -2.416 -2.154 -1.886 -1.872 -1.718 -1.694 -1.556 -1.534
##   (97.4,753]               1      1      1      0      0      1      1      0
##   (753,1.41e+03]           0      0      0      1      1      0      0      1
##   (1.41e+03,2.06e+03]      0      0      0      0      0      0      0      0
##   (2.06e+03,2.72e+03]      0      0      0      0      0      0      0      0
##                      
##                       -1.523 -1.521 -1.484 -1.382 -1.286 -1.262 -1.236 -1.225
##   (97.4,753]               0      1      1      1      0      1      1      0
##   (753,1.41e+03]           0      0      0      0      1      0      0      1
##   (1.41e+03,2.06e+03]      1      0      0      0      0      0      0      0
##   (2.06e+03,2.72e+03]      0      0      0      0      0      0      0      0
##                      
##                       -1.186 -1.172 -1.142 -1.141 -1.138 -1.059 -1.018 -0.967
##   (97.4,753]               1      1      1      1      0      0      0      1
##   (753,1.41e+03]           0      0      0      0      1      1      0      0
##   (1.41e+03,2.06e+03]      0      0      0      0      0      0      1      0
##   (2.06e+03,2.72e+03]      0      0      0      0      0      0      0      0
##                      
##                       -0.965 -0.961 -0.94 -0.939 -0.933 -0.905 -0.892 -0.874
##   (97.4,753]               1      0     0      1      1      0      1      1
##   (753,1.41e+03]           0      1     1      0      0      1      0      0
##   (1.41e+03,2.06e+03]      0      0     0      0      0      0      0      0
##   (2.06e+03,2.72e+03]      0      0     0      0      0      0      0      0
##                      
##                       -0.865 -0.864 -0.817 -0.784 -0.755 -0.746 -0.729 -0.725
##   (97.4,753]               1      1      1      1      0      1      1      0
##   (753,1.41e+03]           0      1      0      0      1      0      0      1
##   (1.41e+03,2.06e+03]      0      0      0      0      0      0      0      0
##   (2.06e+03,2.72e+03]      0      0      0      0      0      0      0      0
##                      
##                       -0.718 -0.674 -0.667 -0.622 -0.621 -0.613 -0.575 -0.533
##   (97.4,753]               0      0      0      1      0      0      0      0
##   (753,1.41e+03]           1      1      0      0      0      1      0      1
##   (1.41e+03,2.06e+03]      0      0      1      0      1      0      1      0
##   (2.06e+03,2.72e+03]      0      0      0      0      0      0      0      0
##                      
##                       -0.475 -0.455 -0.434 -0.432 -0.42 -0.402 -0.397 -0.378
##   (97.4,753]               0      1      0      1     0      0      0      0
##   (753,1.41e+03]           1      0      1      0     1      0      0      0
##   (1.41e+03,2.06e+03]      0      0      0      0     0      1      1      0
##   (2.06e+03,2.72e+03]      0      0      0      0     0      0      0      1
##                      
##                       -0.37 -0.367 -0.361 -0.36 -0.354 -0.352 -0.321 -0.303
##   (97.4,753]              0      1      0     1      1      1      0      0
##   (753,1.41e+03]          1      0      0     0      0      0      1      1
##   (1.41e+03,2.06e+03]     0      0      1     0      0      0      0      0
##   (2.06e+03,2.72e+03]     0      0      0     0      0      0      0      0
##                      
##                       -0.299 -0.287 -0.282 -0.26 -0.255 -0.245 -0.231 -0.228
##   (97.4,753]               1      1      0     0      0      1      0      1
##   (753,1.41e+03]           0      0      0     1      0      0      1      0
##   (1.41e+03,2.06e+03]      0      0      0     0      1      0      0      0
##   (2.06e+03,2.72e+03]      0      0      1     0      0      0      0      0
##                      
##                       -0.219 -0.216 -0.213 -0.165 -0.142 -0.137 -0.086 -0.07
##   (97.4,753]               1      0      0      1      0      0      1     1
##   (753,1.41e+03]           0      1      1      0      1      0      0     0
##   (1.41e+03,2.06e+03]      0      0      0      0      0      1      0     0
##   (2.06e+03,2.72e+03]      0      0      0      0      0      0      0     0
##                      
##                       -0.057 -0.048 -0.039 -0.001 0.022 0.048 0.079 0.08 0.086
##   (97.4,753]               0      0      1      0     0     0     0    0     0
##   (753,1.41e+03]           1      0      0      1     1     0     1    0     0
##   (1.41e+03,2.06e+03]      0      0      0      0     0     1     0    0     1
##   (2.06e+03,2.72e+03]      0      1      0      0     0     0     0    1     0
##                      
##                       0.1 0.109 0.132 0.138 0.142 0.156 0.159 0.174 0.195 0.207
##   (97.4,753]            1     0     0     0     0     0     0     0     0     1
##   (753,1.41e+03]        0     0     0     0     0     0     1     0     0     0
##   (1.41e+03,2.06e+03]   0     1     0     1     0     1     0     1     1     0
##   (2.06e+03,2.72e+03]   0     0     1     0     1     0     0     0     0     0
##                      
##                       0.218 0.244 0.256 0.274 0.279 0.335 0.336 0.349 0.364
##   (97.4,753]              1     0     0     1     0     1     0     0     0
##   (753,1.41e+03]          0     0     1     0     0     0     1     1     0
##   (1.41e+03,2.06e+03]     0     0     0     0     1     0     0     0     1
##   (2.06e+03,2.72e+03]     0     1     0     0     0     0     0     0     0
##                      
##                       0.38 0.383 0.422 0.432 0.439 0.46 0.475 0.512 0.583 0.642
##   (97.4,753]             0     0     1     0     0    0     0     0     1     0
##   (753,1.41e+03]         1     1     0     0     0    0     0     0     0     1
##   (1.41e+03,2.06e+03]    0     0     0     0     1    1     1     1     0     0
##   (2.06e+03,2.72e+03]    0     0     0     1     0    0     0     0     0     0
##                      
##                       0.664 0.673 0.677 0.682 0.715 0.735 0.742 0.791 0.838
##   (97.4,753]              0     1     0     0     1     0     0     0     0
##   (753,1.41e+03]          0     0     1     0     0     1     0     0     0
##   (1.41e+03,2.06e+03]     1     0     0     1     0     0     0     1     1
##   (2.06e+03,2.72e+03]     0     0     0     0     0     0     1     0     0
##                      
##                       0.84 0.845 0.875 0.877 0.975 1.013 1.024 1.033 1.04 1.048
##   (97.4,753]             0     1     0     1     0     1     0     0    1     1
##   (753,1.41e+03]         0     0     1     0     1     0     0     1    0     0
##   (1.41e+03,2.06e+03]    1     0     0     0     0     0     0     0    0     0
##   (2.06e+03,2.72e+03]    0     0     0     0     0     0     1     0    0     0
##                      
##                       1.065 1.098 1.136 1.215 1.297 1.329 1.373 1.535 1.541
##   (97.4,753]              0     0     0     1     0     0     0     0     0
##   (753,1.41e+03]          1     1     0     0     0     0     0     0     1
##   (1.41e+03,2.06e+03]     0     0     1     0     0     1     1     1     0
##   (2.06e+03,2.72e+03]     0     0     0     0     1     0     0     0     0
##                      
##                       1.542 1.597 1.669 1.695 1.742 1.749 1.783 1.793 2.016
##   (97.4,753]              0     0     0     0     0     0     1     1     0
##   (753,1.41e+03]          1     1     0     0     0     1     0     0     0
##   (1.41e+03,2.06e+03]     0     0     1     1     0     0     0     0     0
##   (2.06e+03,2.72e+03]     0     0     0     0     1     0     0     0     1
##                      
##                       2.027 2.043 2.096 2.756
##   (97.4,753]              0     0     0     0
##   (753,1.41e+03]          0     0     0     0
##   (1.41e+03,2.06e+03]     1     0     1     1
##   (2.06e+03,2.72e+03]     0     1     0     0
table(cut(SIZ,4),d$HI)
##                      
##                        0  1
##   (97.4,753]          43 16
##   (753,1.41e+03]      39 11
##   (1.41e+03,2.06e+03] 26 11
##   (2.06e+03,2.72e+03]  8  6
table(cut(SIZ,4),d$ME)
##                      
##                       -1.188 -1.043 -0.958 -0.792 -0.756 -0.751 -0.703 -0.699
##   (97.4,753]               0      1      0      0      0      1      1      1
##   (753,1.41e+03]           0      0      0      0      1      0      0      0
##   (1.41e+03,2.06e+03]      1      0      0      0      0      0      0      0
##   (2.06e+03,2.72e+03]      0      0      1      1      0      0      0      0
##                      
##                       -0.696 -0.674 -0.67 -0.663 -0.643 -0.622 -0.591 -0.588
##   (97.4,753]               0      0     0      1      0      1      1      0
##   (753,1.41e+03]           0      1     0      0      1      0      0      0
##   (1.41e+03,2.06e+03]      0      0     1      0      0      0      0      0
##   (2.06e+03,2.72e+03]      1      0     0      0      0      0      0      1
##                      
##                       -0.579 -0.517 -0.516 -0.511 -0.484 -0.48 -0.467 -0.463
##   (97.4,753]               0      1      0      1      0     0      0      0
##   (753,1.41e+03]           0      0      1      0      0     1      0      0
##   (1.41e+03,2.06e+03]      1      0      0      0      1     0      1      1
##   (2.06e+03,2.72e+03]      0      0      0      0      0     0      0      0
##                      
##                       -0.46 -0.442 -0.432 -0.428 -0.42 -0.415 -0.396 -0.391
##   (97.4,753]              0      0      0      0     0      0      0      1
##   (753,1.41e+03]          0      1      0      1     0      0      1      0
##   (1.41e+03,2.06e+03]     1      0      1      0     1      0      0      0
##   (2.06e+03,2.72e+03]     0      0      0      0     0      1      0      0
##                      
##                       -0.368 -0.347 -0.345 -0.335 -0.334 -0.333 -0.324 -0.317
##   (97.4,753]               1      0      1      0      1      1      1      1
##   (753,1.41e+03]           0      1      0      0      0      0      0      0
##   (1.41e+03,2.06e+03]      0      0      0      0      0      0      0      0
##   (2.06e+03,2.72e+03]      0      0      0      1      0      0      0      0
##                      
##                       -0.296 -0.288 -0.284 -0.271 -0.219 -0.218 -0.211 -0.19
##   (97.4,753]               1      0      1      0      0      1      0     0
##   (753,1.41e+03]           0      1      0      0      1      0      1     1
##   (1.41e+03,2.06e+03]      0      0      0      1      0      0      0     0
##   (2.06e+03,2.72e+03]      1      0      0      0      0      0      0     0
##                      
##                       -0.181 -0.179 -0.171 -0.166 -0.158 -0.134 -0.132 -0.128
##   (97.4,753]               1      1      1      0      1      1      0      0
##   (753,1.41e+03]           0      0      1      1      0      0      2      1
##   (1.41e+03,2.06e+03]      0      0      0      0      0      0      0      0
##   (2.06e+03,2.72e+03]      0      0      0      0      0      0      0      0
##                      
##                       -0.101 -0.09 -0.088 -0.085 -0.084 -0.083 -0.059 -0.058
##   (97.4,753]               0     0      1      0      0      0      0      1
##   (753,1.41e+03]           1     0      0      0      1      0      0      0
##   (1.41e+03,2.06e+03]      0     1      0      1      0      1      0      0
##   (2.06e+03,2.72e+03]      1     0      0      0      0      0      1      0
##                      
##                       -0.048 -0.043 -0.038 -0.025 -0.014 -0.007 0.01 0.013
##   (97.4,753]               2      0      0      1      0      0    0     0
##   (753,1.41e+03]           0      1      1      0      0      0    0     0
##   (1.41e+03,2.06e+03]      1      0      0      0      1      0    1     0
##   (2.06e+03,2.72e+03]      0      0      0      0      0      1    0     1
##                      
##                       0.028 0.032 0.037 0.038 0.039 0.059 0.069 0.079 0.084
##   (97.4,753]              1     1     0     0     1     0     0     0     0
##   (753,1.41e+03]          0     0     1     1     1     0     0     1     0
##   (1.41e+03,2.06e+03]     0     0     0     0     0     1     1     0     1
##   (2.06e+03,2.72e+03]     0     0     0     0     0     0     0     0     0
##                      
##                       0.092 0.102 0.111 0.115 0.121 0.126 0.128 0.134 0.14
##   (97.4,753]              1     1     0     0     1     0     0     0    0
##   (753,1.41e+03]          0     0     0     1     0     0     0     0    1
##   (1.41e+03,2.06e+03]     1     0     0     0     0     1     1     1    0
##   (2.06e+03,2.72e+03]     0     0     1     0     0     0     0     0    0
##                      
##                       0.145 0.151 0.159 0.161 0.163 0.166 0.179 0.188 0.192
##   (97.4,753]              0     0     1     0     0     1     0     0     0
##   (753,1.41e+03]          0     0     0     1     0     0     0     1     0
##   (1.41e+03,2.06e+03]     1     1     1     0     1     0     1     0     1
##   (2.06e+03,2.72e+03]     0     0     0     0     0     0     0     0     0
##                      
##                       0.218 0.234 0.236 0.241 0.249 0.254 0.259 0.264 0.303
##   (97.4,753]              0     1     1     1     0     0     0     0     1
##   (753,1.41e+03]          1     0     0     0     0     1     0     0     0
##   (1.41e+03,2.06e+03]     0     0     0     0     1     0     1     1     0
##   (2.06e+03,2.72e+03]     0     0     0     0     0     0     0     0     0
##                      
##                       0.312 0.315 0.316 0.332 0.333 0.334 0.351 0.354 0.356
##   (97.4,753]              0     0     0     0     1     0     1     1     0
##   (753,1.41e+03]          1     1     0     1     0     1     0     0     0
##   (1.41e+03,2.06e+03]     0     0     1     0     0     0     0     0     1
##   (2.06e+03,2.72e+03]     0     0     0     0     0     0     0     0     0
##                      
##                       0.36 0.367 0.371 0.408 0.411 0.414 0.425 0.426 0.429
##   (97.4,753]             0     1     1     0     1     0     0     0     0
##   (753,1.41e+03]         1     0     1     1     0     0     1     1     1
##   (1.41e+03,2.06e+03]    0     0     0     0     0     0     0     0     0
##   (2.06e+03,2.72e+03]    0     0     0     0     0     1     0     0     0
##                      
##                       0.444 0.448 0.456 0.464 0.498 0.518 0.522 0.523 0.534
##   (97.4,753]              0     0     1     0     0     1     1     0     1
##   (753,1.41e+03]          1     0     0     0     1     0     0     1     0
##   (1.41e+03,2.06e+03]     0     1     0     1     0     0     0     0     0
##   (2.06e+03,2.72e+03]     0     0     0     0     0     0     0     0     0
##                      
##                       0.535 0.562 0.569 0.617 0.627 0.633 0.657 0.661 0.666
##   (97.4,753]              1     1     1     0     1     1     0     0     1
##   (753,1.41e+03]          0     0     0     0     0     0     1     1     0
##   (1.41e+03,2.06e+03]     0     0     0     0     0     0     0     0     0
##   (2.06e+03,2.72e+03]     0     0     0     1     0     0     0     0     0
##                      
##                       0.683 0.688 0.718 0.749 0.759 0.831
##   (97.4,753]              0     0     0     0     1     1
##   (753,1.41e+03]          0     1     1     1     0     0
##   (1.41e+03,2.06e+03]     1     0     0     0     0     0
##   (2.06e+03,2.72e+03]     0     0     0     0     0     0
Si300_1600 <- SIZ[SIZ>300 & SIZ<1600]
Si300_1600
##   [1]  842  716  455 1430  899  530  531  400 1357  959 1332 1061  773  485 1523
##  [16]  545  488  572 1314 1524  780  415  760  963  365  760  457  686 1313 1125
##  [31]  687  388  509 1015 1431 1137  375  670 1061 1114  940  801  663  510 1328
##  [46] 1217 1061  728  643 1068  393  435  493  657  603  700 1118 1152  720  810
##  [61]  381  949 1302 1153  594 1037 1566 1234 1061 1453  565  726  336  745 1415
##  [76] 1154  737  570 1220  978 1500 1495 1410 1580  311 1451  716  868 1346 1016
##  [91] 1436 1400  652 1133  667  745 1069 1061  472 1299  822  833 1067 1184 1314
## [106] 1119 1532
PRA <-d$PR
PRA
##   [1] 0.35 0.27 0.32 0.96 0.95 0.25 0.50 0.96 1.00 0.78 0.46 0.81 0.09 0.10 0.87
##  [16] 0.45 0.78 0.38 0.40 0.68 0.67 0.69 0.63 0.89 0.23 0.97 0.40 0.81 0.14 0.22
##  [31] 0.35 0.79 0.96 0.31 0.24 0.41 0.05 0.80 0.18 0.56 0.56 1.00 0.38 0.59 0.55
##  [46] 0.35 0.18 1.00 0.92 0.70 0.54 0.80 0.31 0.91 0.71 0.50 0.85 0.33 0.46 0.73
##  [61] 0.41 0.83 0.65 0.30 0.60 0.76 0.41 0.62 0.54 0.38 0.32 0.50 0.52 0.69 0.60
##  [76] 0.43 1.00 0.79 0.37 0.90 0.77 0.41 0.60 0.59 0.65 0.63 0.24 0.54 0.19 0.41
##  [91] 0.53 0.58 0.32 0.53 0.17 0.25 0.26 0.81 0.32 0.48 0.10 0.25 1.00 0.19 0.19
## [106] 0.28 0.18 0.96 0.55 0.59 0.44 0.39 0.05 0.20 0.30 0.53 0.14 0.46 0.64 0.35
## [121] 0.48 0.65 0.20 0.40 0.21 0.50 0.68 0.67 0.60 0.42 0.25 1.00 0.39 0.50 0.00
## [136] 0.24 0.58 0.25 0.66 0.48 0.28 0.30 0.18 0.65 0.20 0.44 0.27 0.82 0.97 0.43
## [151] 0.97 0.56 0.13 0.47 0.58 0.69 0.44 0.52 0.45 1.00
table(cut(PRA,4),d$Sc)
##                
##                 1224 1288 1296 1308 1317 1358 1374 1433 1436 1461 1462 1477
##   (-0.001,0.25]    0    0    0    0    0    1    0    0    0    0    0    0
##   (0.25,0.5]       1    1    1    0    0    0    1    0    0    0    1    0
##   (0.5,0.75]       0    0    0    0    0    0    0    0    0    0    0    0
##   (0.75,1]         0    0    0    1    1    0    0    1    1    1    0    1
##                
##                 1499 1637 1906 1909 1942 1946 2030 2208 2277 2305 2336 2458
##   (-0.001,0.25]    1    1    0    0    0    0    0    0    0    0    0    0
##   (0.25,0.5]       0    0    0    1    0    1    1    0    0    0    0    0
##   (0.5,0.75]       0    0    0    0    0    0    0    1    1    1    1    0
##   (0.75,1]         0    0    1    0    1    0    0    0    0    0    0    1
##                
##                 2467 2526 2626 2629 2639 2651 2655 2658 2755 2768 2771 2818
##   (-0.001,0.25]    1    0    0    0    1    1    0    0    0    0    1    0
##   (0.25,0.5]       0    0    1    0    0    0    1    0    0    1    0    1
##   (0.5,0.75]       0    0    0    0    0    0    0    0    0    0    0    0
##   (0.75,1]         0    1    0    1    0    0    0    1    1    0    0    0
##                
##                 2917 2990 2995 3013 3020 3039 3088 3152 3332 3351 3377 3427
##   (-0.001,0.25]    1    0    1    0    0    0    0    0    0    0    1    0
##   (0.25,0.5]       0    0    0    0    0    0    1    0    0    1    0    0
##   (0.5,0.75]       0    0    0    1    1    0    0    1    1    0    0    0
##   (0.75,1]         0    1    0    0    0    1    0    0    0    0    0    1
##                
##                 3498 3499 3533 3610 3657 3688 3705 3716 3838 3881 3967 3992
##   (-0.001,0.25]    0    0    0    0    0    0    0    0    0    0    0    0
##   (0.25,0.5]       0    0    0    0    1    0    0    1    0    1    1    0
##   (0.5,0.75]       0    1    1    0    0    0    1    0    0    0    0    1
##   (0.75,1]         1    0    0    1    0    1    0    0    1    0    0    0
##                
##                 3999 4042 4173 4223 4253 4292 4325 4350 4383 4410 4420 4458
##   (-0.001,0.25]    0    0    0    0    0    0    0    0    0    0    0    0
##   (0.25,0.5]       1    0    0    1    0    0    1    0    0    1    1    1
##   (0.5,0.75]       0    0    1    0    1    0    0    1    1    0    0    0
##   (0.75,1]         0    1    0    0    0    1    0    0    0    0    0    0
##                
##                 4511 4523 4530 4642 4868 4931 5192 5404 5619 5640 5650 5667
##   (-0.001,0.25]    0    0    0    0    0    0    0    0    0    0    0    0
##   (0.25,0.5]       0    0    0    1    0    0    1    0    0    1    0    0
##   (0.5,0.75]       1    1    1    0    0    0    0    0    0    0    1    1
##   (0.75,1]         0    0    0    0    1    1    0    1    1    0    0    0
##                
##                 5720 5761 5762 5783 5815 5819 5838 5937 6074 6089 6144 6170
##   (-0.001,0.25]    0    0    1    0    1    0    0    0    0    0    1    1
##   (0.25,0.5]       0    0    0    0    0    1    0    0    1    0    0    0
##   (0.5,0.75]       1    1    0    1    0    0    1    1    0    1    0    0
##   (0.75,1]         0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 6291 6366 6397 6415 6443 6464 6469 6484 6578 6600 6808 6816
##   (-0.001,0.25]    0    0    0    0    1    1    0    1    1    0    1    0
##   (0.25,0.5]       1    0    1    1    0    0    0    0    0    1    0    0
##   (0.5,0.75]       0    0    0    0    0    0    0    0    0    0    0    0
##   (0.75,1]         0    1    0    0    0    0    1    0    0    0    0    1
##                
##                 6897 6990 7011 7101 7172 7232 7276 7332 7341 7342 7345 7364
##   (-0.001,0.25]    0    0    0    0    1    1    0    0    1    0    0    0
##   (0.25,0.5]       0    0    1    1    0    0    1    0    0    1    0    1
##   (0.5,0.75]       1    1    0    0    0    0    0    1    0    0    1    0
##   (0.75,1]         0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 7635 7688 7697 7734 7890 7919 8009 8150 8165 8175 8188 8193
##   (-0.001,0.25]    0    0    1    0    1    0    0    0    0    0    1    0
##   (0.25,0.5]       1    0    0    1    0    1    0    0    0    1    0    0
##   (0.5,0.75]       0    1    0    0    0    0    1    1    1    0    0    0
##   (0.75,1]         0    0    0    0    0    0    0    0    0    0    0    1
##                
##                 8202 8357 8367 8477 8531 8627 8628 8707 8775 8800 8854 8857
##   (-0.001,0.25]    0    0    1    1    0    1    0    0    0    0    1    0
##   (0.25,0.5]       1    1    0    0    0    0    0    1    1    1    0    0
##   (0.5,0.75]       0    0    0    0    1    0    1    0    0    0    0    1
##   (0.75,1]         0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 8874 8946 8983 9021 9104 9158 9198 9225 9292 9340 9347 9359
##   (-0.001,0.25]    1    0    0    0    0    0    0    0    1    0    0    0
##   (0.25,0.5]       0    1    1    0    0    1    0    0    0    1    0    0
##   (0.5,0.75]       0    0    0    0    0    0    0    1    0    0    1    1
##   (0.75,1]         0    0    0    1    1    0    1    0    0    0    0    0
##                
##                 9397 9508 9550 9586
##   (-0.001,0.25]    0    0    0    0
##   (0.25,0.5]       1    0    1    0
##   (0.5,0.75]       0    1    0    0
##   (0.75,1]         0    0    0    1
table(cut(PRA,4),d$Se)
##                
##                 Public Catholic
##   (-0.001,0.25]     29        2
##   (0.25,0.5]        44        9
##   (0.5,0.75]        15       27
##   (0.75,1]           2       32
table(cut(PRA,4),d$DI)
##                
##                 -2.416 -2.154 -1.886 -1.872 -1.718 -1.694 -1.556 -1.534 -1.523
##   (-0.001,0.25]      0      0      0      0      0      0      0      0      0
##   (0.25,0.5]         0      0      0      0      0      0      0      0      1
##   (0.5,0.75]         0      0      0      1      1      0      0      1      0
##   (0.75,1]           1      1      1      0      0      1      1      0      0
##                
##                 -1.521 -1.484 -1.382 -1.286 -1.262 -1.236 -1.225 -1.186 -1.172
##   (-0.001,0.25]      0      0      0      0      0      0      0      0      0
##   (0.25,0.5]         0      0      0      0      0      0      0      0      0
##   (0.5,0.75]         0      0      1      0      0      0      0      0      0
##   (0.75,1]           1      1      0      1      1      1      1      1      1
##                
##                 -1.142 -1.141 -1.138 -1.059 -1.018 -0.967 -0.965 -0.961 -0.94
##   (-0.001,0.25]      0      0      0      0      0      0      0      0     0
##   (0.25,0.5]         1      0      0      1      1      1      0      0     0
##   (0.5,0.75]         0      0      1      0      0      0      1      0     0
##   (0.75,1]           0      1      0      0      0      0      0      1     1
##                
##                 -0.939 -0.933 -0.905 -0.892 -0.874 -0.865 -0.864 -0.817 -0.784
##   (-0.001,0.25]      0      0      0      0      1      0      0      0      0
##   (0.25,0.5]         0      0      0      0      0      0      0      0      0
##   (0.5,0.75]         0      1      1      1      0      0      2      0      1
##   (0.75,1]           1      0      0      0      0      1      0      1      0
##                
##                 -0.755 -0.746 -0.729 -0.725 -0.718 -0.674 -0.667 -0.622 -0.621
##   (-0.001,0.25]      0      0      0      0      0      0      0      0      0
##   (0.25,0.5]         0      0      0      0      0      0      0      0      0
##   (0.5,0.75]         1      0      0      1      0      0      0      0      0
##   (0.75,1]           0      1      1      0      1      1      1      1      1
##                
##                 -0.613 -0.575 -0.533 -0.475 -0.455 -0.434 -0.432 -0.42 -0.402
##   (-0.001,0.25]      0      0      0      0      0      0      0     1      0
##   (0.25,0.5]         0      0      0      0      0      0      1     0      1
##   (0.5,0.75]         0      1      1      1      1      0      0     0      0
##   (0.75,1]           1      0      0      0      0      1      0     0      0
##                
##                 -0.397 -0.378 -0.37 -0.367 -0.361 -0.36 -0.354 -0.352 -0.321
##   (-0.001,0.25]      0      0     0      0      0     0      0      0      0
##   (0.25,0.5]         1      1     0      0      0     1      0      0      0
##   (0.5,0.75]         0      0     1      1      1     0      0      1      0
##   (0.75,1]           0      0     0      0      0     0      1      0      1
##                
##                 -0.303 -0.299 -0.287 -0.282 -0.26 -0.255 -0.245 -0.231 -0.228
##   (-0.001,0.25]      0      0      0      1     0      0      0      0      1
##   (0.25,0.5]         1      0      1      0     1      0      0      1      0
##   (0.5,0.75]         0      1      0      0     0      0      1      0      0
##   (0.75,1]           0      0      0      0     0      1      0      0      0
##                
##                 -0.219 -0.216 -0.213 -0.165 -0.142 -0.137 -0.086 -0.07 -0.057
##   (-0.001,0.25]      0      0      0      0      0      0      0     0      0
##   (0.25,0.5]         0      1      0      0      0      1      1     0      0
##   (0.5,0.75]         0      0      1      1      1      0      0     1      1
##   (0.75,1]           1      0      0      0      0      0      0     0      0
##                
##                 -0.048 -0.039 -0.001 0.022 0.048 0.079 0.08 0.086 0.1 0.109
##   (-0.001,0.25]      0      0      1     0     0     0    1     0   0     0
##   (0.25,0.5]         0      0      0     0     0     1    0     1   1     1
##   (0.5,0.75]         1      1      0     1     1     0    0     0   0     0
##   (0.75,1]           0      0      0     0     0     0    0     0   0     0
##                
##                 0.132 0.138 0.142 0.156 0.159 0.174 0.195 0.207 0.218 0.244
##   (-0.001,0.25]     0     0     0     0     0     0     0     1     1     0
##   (0.25,0.5]        0     0     1     0     0     1     1     0     0     1
##   (0.5,0.75]        1     1     0     1     0     0     0     0     0     0
##   (0.75,1]          0     0     0     0     1     0     0     0     0     0
##                
##                 0.256 0.274 0.279 0.335 0.336 0.349 0.364 0.38 0.383 0.422
##   (-0.001,0.25]     0     0     1     0     0     0     1    0     0     1
##   (0.25,0.5]        1     1     0     1     0     1     0    1     1     0
##   (0.5,0.75]        0     0     0     0     1     0     0    0     0     0
##   (0.75,1]          0     0     0     0     0     0     0    0     0     0
##                
##                 0.432 0.439 0.46 0.475 0.512 0.583 0.642 0.664 0.673 0.677
##   (-0.001,0.25]     1     0    0     0     0     1     0     1     0     0
##   (0.25,0.5]        0     1    0     0     0     0     1     0     1     1
##   (0.5,0.75]        0     0    1     1     1     0     0     0     0     0
##   (0.75,1]          0     0    0     0     0     0     0     0     0     0
##                
##                 0.682 0.715 0.735 0.742 0.791 0.838 0.84 0.845 0.875 0.877
##   (-0.001,0.25]     1     0     0     1     0     0    0     1     0     0
##   (0.25,0.5]        0     1     1     0     1     1    1     0     1     1
##   (0.5,0.75]        0     0     0     0     0     0    0     0     0     0
##   (0.75,1]          0     0     0     0     0     0    0     0     0     0
##                
##                 0.975 1.013 1.024 1.033 1.04 1.048 1.065 1.098 1.136 1.215
##   (-0.001,0.25]     1     1     0     0    0     1     0     0     1     1
##   (0.25,0.5]        0     0     1     1    1     0     0     0     0     0
##   (0.5,0.75]        0     0     0     0    0     0     1     1     0     0
##   (0.75,1]          0     0     0     0    0     0     0     0     0     0
##                
##                 1.297 1.329 1.373 1.535 1.541 1.542 1.597 1.669 1.695 1.742
##   (-0.001,0.25]     0     1     0     1     0     0     0     1     1     1
##   (0.25,0.5]        1     0     1     0     1     1     1     0     0     0
##   (0.5,0.75]        0     0     0     0     0     0     0     0     0     0
##   (0.75,1]          0     0     0     0     0     0     0     0     0     0
##                
##                 1.749 1.783 1.793 2.016 2.027 2.043 2.096 2.756
##   (-0.001,0.25]     1     0     1     0     0     1     0     1
##   (0.25,0.5]        0     1     0     1     1     0     0     0
##   (0.5,0.75]        0     0     0     0     0     0     0     0
##   (0.75,1]          0     0     0     0     0     0     1     0
table(cut(PRA,4),d$HI)
##                
##                  0  1
##   (-0.001,0.25] 20 11
##   (0.25,0.5]    39 14
##   (0.5,0.75]    30 12
##   (0.75,1]      27  7
table(cut(PRA,4),d$ME)
##                
##                 -1.188 -1.043 -0.958 -0.792 -0.756 -0.751 -0.703 -0.699 -0.696
##   (-0.001,0.25]      1      0      1      1      0      1      0      1      0
##   (0.25,0.5]         0      1      0      0      0      0      1      0      1
##   (0.5,0.75]         0      0      0      0      1      0      0      0      0
##   (0.75,1]           0      0      0      0      0      0      0      0      0
##                
##                 -0.674 -0.67 -0.663 -0.643 -0.622 -0.591 -0.588 -0.579 -0.517
##   (-0.001,0.25]      1     1      0      0      0      0      1      1      1
##   (0.25,0.5]         0     0      1      1      0      0      0      0      0
##   (0.5,0.75]         0     0      0      0      1      1      0      0      0
##   (0.75,1]           0     0      0      0      0      0      0      0      0
##                
##                 -0.516 -0.511 -0.484 -0.48 -0.467 -0.463 -0.46 -0.442 -0.432
##   (-0.001,0.25]      0      1      0     0      0      0     1      0      1
##   (0.25,0.5]         1      0      0     0      1      1     0      1      0
##   (0.5,0.75]         0      0      1     0      0      0     0      0      0
##   (0.75,1]           0      0      0     1      0      0     0      0      0
##                
##                 -0.428 -0.42 -0.415 -0.396 -0.391 -0.368 -0.347 -0.345 -0.335
##   (-0.001,0.25]      0     0      0      0      0      0      1      0      1
##   (0.25,0.5]         1     1      1      1      1      0      0      1      0
##   (0.5,0.75]         0     0      0      0      0      1      0      0      0
##   (0.75,1]           0     0      0      0      0      0      0      0      0
##                
##                 -0.334 -0.333 -0.324 -0.317 -0.296 -0.288 -0.284 -0.271 -0.219
##   (-0.001,0.25]      0      1      1      0      2      0      1      0      0
##   (0.25,0.5]         1      0      0      0      0      1      0      1      1
##   (0.5,0.75]         0      0      0      1      0      0      0      0      0
##   (0.75,1]           0      0      0      0      0      0      0      0      0
##                
##                 -0.218 -0.211 -0.19 -0.181 -0.179 -0.171 -0.166 -0.158 -0.134
##   (-0.001,0.25]      0      0     1      0      1      0      0      1      0
##   (0.25,0.5]         1      1     0      1      0      1      1      0      0
##   (0.5,0.75]         0      0     0      0      0      0      0      0      1
##   (0.75,1]           0      0     0      0      0      1      0      0      0
##                
##                 -0.132 -0.128 -0.101 -0.09 -0.088 -0.085 -0.084 -0.083 -0.059
##   (-0.001,0.25]      0      0      0     1      0      0      1      0      0
##   (0.25,0.5]         0      0      1     0      1      1      0      1      1
##   (0.5,0.75]         1      1      1     0      0      0      0      0      0
##   (0.75,1]           1      0      0     0      0      0      0      0      0
##                
##                 -0.058 -0.048 -0.043 -0.038 -0.025 -0.014 -0.007 0.01 0.013
##   (-0.001,0.25]      0      0      0      0      0      1      0    0     0
##   (0.25,0.5]         1      2      1      0      1      0      1    1     1
##   (0.5,0.75]         0      1      0      1      0      0      0    0     0
##   (0.75,1]           0      0      0      0      0      0      0    0     0
##                
##                 0.028 0.032 0.037 0.038 0.039 0.059 0.069 0.079 0.084 0.092
##   (-0.001,0.25]     0     1     0     0     0     0     1     0     0     0
##   (0.25,0.5]        0     0     0     0     0     1     0     0     1     1
##   (0.5,0.75]        1     0     1     1     2     0     0     1     0     1
##   (0.75,1]          0     0     0     0     0     0     0     0     0     0
##                
##                 0.102 0.111 0.115 0.121 0.126 0.128 0.134 0.14 0.145 0.151
##   (-0.001,0.25]     0     1     0     0     0     0     0    0     1     0
##   (0.25,0.5]        1     0     1     1     0     1     1    1     0     0
##   (0.5,0.75]        0     0     0     0     0     0     0    0     0     0
##   (0.75,1]          0     0     0     0     1     0     0    0     0     1
##                
##                 0.159 0.161 0.163 0.166 0.179 0.188 0.192 0.218 0.234 0.236
##   (-0.001,0.25]     0     0     0     0     0     0     0     0     0     0
##   (0.25,0.5]        0     1     0     0     0     1     0     0     0     0
##   (0.5,0.75]        1     0     1     0     1     0     1     1     0     1
##   (0.75,1]          1     0     0     1     0     0     0     0     1     0
##                
##                 0.241 0.249 0.254 0.259 0.264 0.303 0.312 0.315 0.316 0.332
##   (-0.001,0.25]     0     0     0     0     1     0     0     0     0     0
##   (0.25,0.5]        0     1     1     0     0     0     0     0     0     1
##   (0.5,0.75]        1     0     0     1     0     1     1     1     0     0
##   (0.75,1]          0     0     0     0     0     0     0     0     1     0
##                
##                 0.333 0.334 0.351 0.354 0.356 0.36 0.367 0.371 0.408 0.411
##   (-0.001,0.25]     0     0     0     0     0    0     0     0     0     0
##   (0.25,0.5]        0     1     0     0     0    0     0     0     0     0
##   (0.5,0.75]        0     0     0     0     1    1     0     1     0     0
##   (0.75,1]          1     0     1     1     0    0     1     1     1     1
##                
##                 0.414 0.425 0.426 0.429 0.444 0.448 0.456 0.464 0.498 0.518
##   (-0.001,0.25]     0     0     0     0     0     0     0     0     0     0
##   (0.25,0.5]        0     0     0     0     0     0     0     1     0     0
##   (0.5,0.75]        1     1     0     1     0     1     1     0     0     0
##   (0.75,1]          0     0     1     0     1     0     0     0     1     1
##                
##                 0.522 0.523 0.534 0.535 0.562 0.569 0.617 0.627 0.633 0.657
##   (-0.001,0.25]     0     0     0     0     0     0     0     0     0     0
##   (0.25,0.5]        0     0     0     0     0     0     0     0     0     0
##   (0.5,0.75]        1     1     0     0     0     0     1     0     0     1
##   (0.75,1]          0     0     1     1     1     1     0     1     1     0
##                
##                 0.661 0.666 0.683 0.688 0.718 0.749 0.759 0.831
##   (-0.001,0.25]     0     0     0     0     0     0     0     0
##   (0.25,0.5]        0     0     0     0     0     0     0     0
##   (0.5,0.75]        0     0     0     0     0     0     0     0
##   (0.75,1]          1     1     1     1     1     1     1     1
table(cut(PRA,4),cut(SIZ,4))
##                
##                 (97.4,753] (753,1.41e+03] (1.41e+03,2.06e+03]
##   (-0.001,0.25]         11              4                  10
##   (0.25,0.5]            14             18                  15
##   (0.5,0.75]            14             18                   8
##   (0.75,1]              20             10                   4
##                
##                 (2.06e+03,2.72e+03]
##   (-0.001,0.25]                   6
##   (0.25,0.5]                      6
##   (0.5,0.75]                      2
##   (0.75,1]                        0
PR0.01_0.8 <- PRA[PRA>0.01 & PRA<0.99]
PR0.01_0.8
##   [1] 0.35 0.27 0.32 0.96 0.95 0.25 0.50 0.96 0.78 0.46 0.81 0.09 0.10 0.87 0.45
##  [16] 0.78 0.38 0.40 0.68 0.67 0.69 0.63 0.89 0.23 0.97 0.40 0.81 0.14 0.22 0.35
##  [31] 0.79 0.96 0.31 0.24 0.41 0.05 0.80 0.18 0.56 0.56 0.38 0.59 0.55 0.35 0.18
##  [46] 0.92 0.70 0.54 0.80 0.31 0.91 0.71 0.50 0.85 0.33 0.46 0.73 0.41 0.83 0.65
##  [61] 0.30 0.60 0.76 0.41 0.62 0.54 0.38 0.32 0.50 0.52 0.69 0.60 0.43 0.79 0.37
##  [76] 0.90 0.77 0.41 0.60 0.59 0.65 0.63 0.24 0.54 0.19 0.41 0.53 0.58 0.32 0.53
##  [91] 0.17 0.25 0.26 0.81 0.32 0.48 0.10 0.25 0.19 0.19 0.28 0.18 0.96 0.55 0.59
## [106] 0.44 0.39 0.05 0.20 0.30 0.53 0.14 0.46 0.64 0.35 0.48 0.65 0.20 0.40 0.21
## [121] 0.50 0.68 0.67 0.60 0.42 0.25 0.39 0.50 0.24 0.58 0.25 0.66 0.48 0.28 0.30
## [136] 0.18 0.65 0.20 0.44 0.27 0.82 0.97 0.43 0.97 0.56 0.13 0.47 0.58 0.69 0.44
## [151] 0.52 0.45
Sch <- d$Sc
Sch
##   [1] 1224 1288 1296 1308 1317 1358 1374 1433 1436 1461 1462 1477 1499 1637 1906
##  [16] 1909 1942 1946 2030 2208 2277 2305 2336 2458 2467 2526 2626 2629 2639 2651
##  [31] 2655 2658 2755 2768 2771 2818 2917 2990 2995 3013 3020 3039 3088 3152 3332
##  [46] 3351 3377 3427 3498 3499 3533 3610 3657 3688 3705 3716 3838 3881 3967 3992
##  [61] 3999 4042 4173 4223 4253 4292 4325 4350 4383 4410 4420 4458 4511 4523 4530
##  [76] 4642 4868 4931 5192 5404 5619 5640 5650 5667 5720 5761 5762 5783 5815 5819
##  [91] 5838 5937 6074 6089 6144 6170 6291 6366 6397 6415 6443 6464 6469 6484 6578
## [106] 6600 6808 6816 6897 6990 7011 7101 7172 7232 7276 7332 7341 7342 7345 7364
## [121] 7635 7688 7697 7734 7890 7919 8009 8150 8165 8175 8188 8193 8202 8357 8367
## [136] 8477 8531 8627 8628 8707 8775 8800 8854 8857 8874 8946 8983 9021 9104 9158
## [151] 9198 9225 9292 9340 9347 9359 9397 9508 9550 9586
## 160 Levels: 1224 1288 1296 1308 1317 1358 1374 1433 1436 1461 1462 1477 ... 9586
sec <- d$Se
sec
##   [1] Public   Public   Public   Catholic Catholic Public   Public   Catholic
##   [9] Catholic Public   Catholic Catholic Public   Public   Catholic Public  
##  [17] Public   Public   Public   Catholic Catholic Catholic Public   Catholic
##  [25] Public   Catholic Public   Catholic Public   Public   Public   Catholic
##  [33] Catholic Public   Public   Public   Public   Catholic Public   Public  
##  [41] Catholic Catholic Public   Public   Public   Public   Public   Catholic
##  [49] Catholic Catholic Catholic Catholic Public   Catholic Catholic Public  
##  [57] Catholic Public   Public   Catholic Public   Catholic Catholic Catholic
##  [65] Catholic Catholic Public   Public   Public   Public   Public   Public  
##  [73] Catholic Catholic Catholic Public   Catholic Catholic Catholic Catholic
##  [81] Catholic Public   Catholic Catholic Catholic Catholic Public   Public  
##  [89] Public   Public   Public   Public   Catholic Public   Public   Public  
##  [97] Public   Catholic Public   Public   Public   Public   Catholic Public  
## [105] Catholic Public   Public   Catholic Public   Public   Catholic Public  
## [113] Catholic Public   Public   Catholic Public   Catholic Public   Catholic
## [121] Catholic Catholic Public   Public   Public   Public   Catholic Catholic
## [129] Catholic Public   Public   Catholic Public   Public   Public   Public  
## [137] Public   Public   Catholic Public   Public   Catholic Public   Catholic
## [145] Public   Public   Public   Catholic Catholic Public   Catholic Public  
## [153] Public   Public   Catholic Catholic Public   Catholic Public   Catholic
## Levels: Public Catholic
DIS <- d$DI
DIS
##   [1]  1.597  0.174 -0.137 -0.622 -1.694  1.535  2.016 -0.321 -1.141  2.096
##  [11] -0.287 -0.729  0.682  1.215 -0.939  0.875  0.159  0.439  0.677 -0.864
##  [21] -0.725 -1.382  0.156 -1.484  0.207 -2.154  0.142 -0.613 -0.282  1.136
##  [31] -0.378 -0.961 -0.354  0.086  1.048  1.541  0.080 -0.434  0.422 -0.213
##  [41] -0.299 -1.236  0.195  1.098 -0.048  0.383  0.664 -1.262 -1.556 -0.039
##  [51]  0.022 -0.621 -0.216 -1.521 -0.165  1.297 -0.255  0.840 -1.059 -1.534
##  [61]  0.838 -0.940 -0.755 -0.967 -0.455 -0.674  0.349  0.512  1.065  0.673
##  [71]  0.877  0.715 -1.872 -0.784 -0.245 -0.086 -0.219 -1.172 -0.360 -0.746
##  [81] -1.286  0.256 -0.070 -0.533 -0.352 -0.892  0.364  0.460  1.749 -0.260
##  [91]  0.138 -0.142 -1.018 -0.965  1.329  0.432 -0.303 -0.667  0.642  1.040
## [101] -0.420  2.756 -0.865  0.218 -0.874 -0.432  1.669 -1.886 -0.361  0.475
## [111]  0.100  1.024  1.013  0.975  0.109 -0.864  0.583  0.380  0.336 -1.523
## [121] -0.397 -0.575  0.279  2.027  0.845 -0.402 -0.933 -0.057 -0.370  1.033
## [131]  1.695 -1.186  1.373  0.244  1.793 -0.001  0.132  0.742 -0.367  1.542
## [141]  1.783 -1.142 -0.228 -1.718  1.742  0.335  0.079 -0.817 -0.718  0.735
## [151] -1.225  0.048  2.043  0.274 -0.905 -0.475 -0.231 -1.138  0.791 -2.416
table(cut(DIS,4),d$Sc)
##                
##                 1224 1288 1296 1308 1317 1358 1374 1433 1436 1461 1462 1477
##   (-2.42,-1.12]    0    0    0    0    1    0    0    0    1    0    0    0
##   (-1.12,0.17]     0    0    1    1    0    0    0    1    0    0    1    1
##   (0.17,1.46]      0    1    0    0    0    0    0    0    0    0    0    0
##   (1.46,2.76]      1    0    0    0    0    1    1    0    0    1    0    0
##                
##                 1499 1637 1906 1909 1942 1946 2030 2208 2277 2305 2336 2458
##   (-2.42,-1.12]    0    0    0    0    0    0    0    0    0    1    0    1
##   (-1.12,0.17]     0    0    1    0    1    0    0    1    1    0    1    0
##   (0.17,1.46]      1    1    0    1    0    1    1    0    0    0    0    0
##   (1.46,2.76]      0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 2467 2526 2626 2629 2639 2651 2655 2658 2755 2768 2771 2818
##   (-2.42,-1.12]    0    1    0    0    0    0    0    0    0    0    0    0
##   (-1.12,0.17]     0    0    1    1    1    0    1    1    1    1    0    0
##   (0.17,1.46]      1    0    0    0    0    1    0    0    0    0    1    0
##   (1.46,2.76]      0    0    0    0    0    0    0    0    0    0    0    1
##                
##                 2917 2990 2995 3013 3020 3039 3088 3152 3332 3351 3377 3427
##   (-2.42,-1.12]    0    0    0    0    0    1    0    0    0    0    0    1
##   (-1.12,0.17]     1    1    0    1    1    0    0    0    1    0    0    0
##   (0.17,1.46]      0    0    1    0    0    0    1    1    0    1    1    0
##   (1.46,2.76]      0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 3498 3499 3533 3610 3657 3688 3705 3716 3838 3881 3967 3992
##   (-2.42,-1.12]    1    0    0    0    0    1    0    0    0    0    0    1
##   (-1.12,0.17]     0    1    1    1    1    0    1    0    1    0    1    0
##   (0.17,1.46]      0    0    0    0    0    0    0    1    0    1    0    0
##   (1.46,2.76]      0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 3999 4042 4173 4223 4253 4292 4325 4350 4383 4410 4420 4458
##   (-2.42,-1.12]    0    0    0    0    0    0    0    0    0    0    0    0
##   (-1.12,0.17]     0    1    1    1    1    1    0    0    0    0    0    0
##   (0.17,1.46]      1    0    0    0    0    0    1    1    1    1    1    1
##   (1.46,2.76]      0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 4511 4523 4530 4642 4868 4931 5192 5404 5619 5640 5650 5667
##   (-2.42,-1.12]    1    0    0    0    0    1    0    0    1    0    0    0
##   (-1.12,0.17]     0    1    1    1    1    0    1    1    0    0    1    1
##   (0.17,1.46]      0    0    0    0    0    0    0    0    0    1    0    0
##   (1.46,2.76]      0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 5720 5761 5762 5783 5815 5819 5838 5937 6074 6089 6144 6170
##   (-2.42,-1.12]    0    0    0    0    0    0    0    0    0    0    0    0
##   (-1.12,0.17]     1    1    0    0    0    1    1    1    1    1    0    0
##   (0.17,1.46]      0    0    1    1    0    0    0    0    0    0    1    1
##   (1.46,2.76]      0    0    0    0    1    0    0    0    0    0    0    0
##                
##                 6291 6366 6397 6415 6443 6464 6469 6484 6578 6600 6808 6816
##   (-2.42,-1.12]    0    0    0    0    0    0    0    0    0    0    0    1
##   (-1.12,0.17]     1    1    0    0    1    0    1    0    1    1    0    0
##   (0.17,1.46]      0    0    1    1    0    0    0    1    0    0    0    0
##   (1.46,2.76]      0    0    0    0    0    1    0    0    0    0    1    0
##                
##                 6897 6990 7011 7101 7172 7232 7276 7332 7341 7342 7345 7364
##   (-2.42,-1.12]    0    0    0    0    0    0    0    0    0    0    0    1
##   (-1.12,0.17]     1    0    1    0    0    0    1    1    0    0    0    0
##   (0.17,1.46]      0    1    0    1    1    1    0    0    1    1    1    0
##   (1.46,2.76]      0    0    0    0    0    0    0    0    0    0    0    0
##                
##                 7635 7688 7697 7734 7890 7919 8009 8150 8165 8175 8188 8193
##   (-2.42,-1.12]    0    0    0    0    0    0    0    0    0    0    0    1
##   (-1.12,0.17]     1    1    0    0    0    1    1    1    1    0    0    0
##   (0.17,1.46]      0    0    1    0    1    0    0    0    0    1    0    0
##   (1.46,2.76]      0    0    0    1    0    0    0    0    0    0    1    0
##                
##                 8202 8357 8367 8477 8531 8627 8628 8707 8775 8800 8854 8857
##   (-2.42,-1.12]    0    0    0    0    0    0    0    0    0    1    0    1
##   (-1.12,0.17]     0    0    0    1    1    0    1    0    0    0    1    0
##   (0.17,1.46]      1    1    0    0    0    1    0    0    0    0    0    0
##   (1.46,2.76]      0    0    1    0    0    0    0    1    1    0    0    0
##                
##                 8874 8946 8983 9021 9104 9158 9198 9225 9292 9340 9347 9359
##   (-2.42,-1.12]    0    0    0    0    0    0    1    0    0    0    0    0
##   (-1.12,0.17]     0    0    1    1    1    0    0    1    0    0    1    1
##   (0.17,1.46]      0    1    0    0    0    1    0    0    0    1    0    0
##   (1.46,2.76]      1    0    0    0    0    0    0    0    1    0    0    0
##                
##                 9397 9508 9550 9586
##   (-2.42,-1.12]    0    1    0    1
##   (-1.12,0.17]     1    0    0    0
##   (0.17,1.46]      0    0    1    0
##   (1.46,2.76]      0    0    0    0
table(cut(DIS,4),d$Se)
##                
##                 Public Catholic
##   (-2.42,-1.12]      0       21
##   (-1.12,0.17]      29       47
##   (0.17,1.46]       46        2
##   (1.46,2.76]       15        0
table(cut(DIS,4),cut(SIZ,4))
##                
##                 (97.4,753] (753,1.41e+03] (1.41e+03,2.06e+03]
##   (-2.42,-1.12]         14              6                   1
##   (-1.12,0.17]          29             27                  14
##   (0.17,1.46]           14             13                  16
##   (1.46,2.76]            2              4                   6
##                
##                 (2.06e+03,2.72e+03]
##   (-2.42,-1.12]                   0
##   (-1.12,0.17]                    6
##   (0.17,1.46]                     5
##   (1.46,2.76]                     3
table(cut(DIS,4),d$HI)
##                
##                  0  1
##   (-2.42,-1.12] 13  8
##   (-1.12,0.17]  60 16
##   (0.17,1.46]   32 16
##   (1.46,2.76]   11  4
table(cut(DIS,4),d$ME)
##                
##                 -1.188 -1.043 -0.958 -0.792 -0.756 -0.751 -0.703 -0.699 -0.696
##   (-2.42,-1.12]      0      0      0      0      0      0      1      0      0
##   (-1.12,0.17]       0      0      1      1      1      1      0      0      1
##   (0.17,1.46]        1      1      0      0      0      0      0      1      0
##   (1.46,2.76]        0      0      0      0      0      0      0      0      0
##                
##                 -0.674 -0.67 -0.663 -0.643 -0.622 -0.591 -0.588 -0.579 -0.517
##   (-2.42,-1.12]      0     0      0      0      1      0      0      0      0
##   (-1.12,0.17]       0     0      1      1      0      1      0      0      0
##   (0.17,1.46]        0     0      0      0      0      0      0      1      1
##   (1.46,2.76]        1     1      0      0      0      0      1      0      0
##                
##                 -0.516 -0.511 -0.484 -0.48 -0.467 -0.463 -0.46 -0.442 -0.432
##   (-2.42,-1.12]      0      0      0     0      0      0     0      0      0
##   (-1.12,0.17]       1      1      0     1      0      0     0      0      0
##   (0.17,1.46]        0      0      1     0      1      0     1      1      1
##   (1.46,2.76]        0      0      0     0      0      1     0      0      0
##                
##                 -0.428 -0.42 -0.415 -0.396 -0.391 -0.368 -0.347 -0.345 -0.335
##   (-2.42,-1.12]      0     0      0      0      0      0      0      0      0
##   (-1.12,0.17]       0     1      0      0      0      1      1      0      0
##   (0.17,1.46]        0     0      1      1      1      0      0      1      0
##   (1.46,2.76]        1     0      0      0      0      0      0      0      1
##                
##                 -0.334 -0.333 -0.324 -0.317 -0.296 -0.288 -0.284 -0.271 -0.219
##   (-2.42,-1.12]      0      0      0      0      0      0      0      0      0
##   (-1.12,0.17]       0      0      0      1      0      1      0      1      1
##   (0.17,1.46]        0      1      1      0      2      0      1      0      0
##   (1.46,2.76]        1      0      0      0      0      0      0      0      0
##                
##                 -0.218 -0.211 -0.19 -0.181 -0.179 -0.171 -0.166 -0.158 -0.134
##   (-2.42,-1.12]      0      0     0      0      0      1      0      0      0
##   (-1.12,0.17]       0      0     1      0      0      0      0      0      1
##   (0.17,1.46]        1      1     0      1      1      1      1      1      0
##   (1.46,2.76]        0      0     0      0      0      0      0      0      0
##                
##                 -0.132 -0.128 -0.101 -0.09 -0.088 -0.085 -0.084 -0.083 -0.059
##   (-2.42,-1.12]      1      0      1     0      0      0      0      1      0
##   (-1.12,0.17]       1      1      0     0      1      0      0      0      1
##   (0.17,1.46]        0      0      1     0      0      1      1      0      0
##   (1.46,2.76]        0      0      0     1      0      0      0      0      0
##                
##                 -0.058 -0.048 -0.043 -0.038 -0.025 -0.014 -0.007 0.01 0.013
##   (-2.42,-1.12]      0      0      0      0      0      0      0    0     0
##   (-1.12,0.17]       1      3      0      1      1      0      0    0     0
##   (0.17,1.46]        0      0      1      0      0      0      0    1     1
##   (1.46,2.76]        0      0      0      0      0      1      1    0     0
##                
##                 0.028 0.032 0.037 0.038 0.039 0.059 0.069 0.079 0.084 0.092
##   (-2.42,-1.12]     0     0     0     0     0     0     0     0     0     0
##   (-1.12,0.17]      1     0     0     1     1     0     0     0     1     1
##   (0.17,1.46]       0     0     1     0     1     1     1     1     0     1
##   (1.46,2.76]       0     1     0     0     0     0     0     0     0     0
##                
##                 0.102 0.111 0.115 0.121 0.126 0.128 0.134 0.14 0.145 0.151
##   (-2.42,-1.12]     0     0     0     0     0     0     0    0     0     0
##   (-1.12,0.17]      0     0     0     1     1     0     0    1     0     1
##   (0.17,1.46]       1     1     0     0     0     1     1    0     0     0
##   (1.46,2.76]       0     0     1     0     0     0     0    0     1     0
##                
##                 0.159 0.161 0.163 0.166 0.179 0.188 0.192 0.218 0.234 0.236
##   (-2.42,-1.12]     1     0     0     0     0     0     0     0     1     0
##   (-1.12,0.17]      0     0     1     1     0     1     1     1     0     1
##   (0.17,1.46]       1     0     0     0     1     0     0     0     0     0
##   (1.46,2.76]       0     1     0     0     0     0     0     0     0     0
##                
##                 0.241 0.249 0.254 0.259 0.264 0.303 0.312 0.315 0.316 0.332
##   (-2.42,-1.12]     0     0     0     0     0     0     0     0     0     0
##   (-1.12,0.17]      1     1     0     1     0     1     1     1     1     0
##   (0.17,1.46]       0     0     1     0     1     0     0     0     0     1
##   (1.46,2.76]       0     0     0     0     0     0     0     0     0     0
##                
##                 0.333 0.334 0.351 0.354 0.356 0.36 0.367 0.371 0.408 0.411
##   (-2.42,-1.12]     1     0     1     1     0    0     0     2     0     1
##   (-1.12,0.17]      0     0     0     0     1    1     1     0     1     0
##   (0.17,1.46]       0     1     0     0     0    0     0     0     0     0
##   (1.46,2.76]       0     0     0     0     0    0     0     0     0     0
##                
##                 0.414 0.425 0.426 0.429 0.444 0.448 0.456 0.464 0.498 0.518
##   (-2.42,-1.12]     0     0     1     0     0     0     0     0     1     0
##   (-1.12,0.17]      1     1     0     1     1     1     1     1     0     1
##   (0.17,1.46]       0     0     0     0     0     0     0     0     0     0
##   (1.46,2.76]       0     0     0     0     0     0     0     0     0     0
##                
##                 0.522 0.523 0.534 0.535 0.562 0.569 0.617 0.627 0.633 0.657
##   (-2.42,-1.12]     0     1     0     1     0     1     0     1     0     0
##   (-1.12,0.17]      1     0     1     0     1     0     1     0     1     1
##   (0.17,1.46]       0     0     0     0     0     0     0     0     0     0
##   (1.46,2.76]       0     0     0     0     0     0     0     0     0     0
##                
##                 0.661 0.666 0.683 0.688 0.718 0.749 0.759 0.831
##   (-2.42,-1.12]     0     1     0     0     0     0     0     0
##   (-1.12,0.17]      1     0     0     1     1     1     1     1
##   (0.17,1.46]       0     0     0     0     0     0     0     0
##   (1.46,2.76]       0     0     1     0     0     0     0     0
table(cut(DIS,4),cut(PRA,4))
##                
##                 (-0.001,0.25] (0.25,0.5] (0.5,0.75] (0.75,1]
##   (-2.42,-1.12]             0          2          5       14
##   (-1.12,0.17]              6         20         31       19
##   (0.17,1.46]              17         25          6        0
##   (1.46,2.76]               8          6          0        1
DI_1_0.75 <- DIS[DIS>-1 & DIS<0.75]
DI_1_0.75
##   [1]  0.174 -0.137 -0.622 -0.321 -0.287 -0.729  0.682 -0.939  0.159  0.439
##  [11]  0.677 -0.864 -0.725  0.156  0.207  0.142 -0.613 -0.282 -0.378 -0.961
##  [21] -0.354  0.086  0.080 -0.434  0.422 -0.213 -0.299  0.195 -0.048  0.383
##  [31]  0.664 -0.039  0.022 -0.621 -0.216 -0.165 -0.255 -0.940 -0.755 -0.967
##  [41] -0.455 -0.674  0.349  0.512  0.673  0.715 -0.784 -0.245 -0.086 -0.219
##  [51] -0.360 -0.746  0.256 -0.070 -0.533 -0.352 -0.892  0.364  0.460 -0.260
##  [61]  0.138 -0.142 -0.965  0.432 -0.303 -0.667  0.642 -0.420 -0.865  0.218
##  [71] -0.874 -0.432 -0.361  0.475  0.100  0.109 -0.864  0.583  0.380  0.336
##  [81] -0.397 -0.575  0.279 -0.402 -0.933 -0.057 -0.370  0.244 -0.001  0.132
##  [91]  0.742 -0.367 -0.228  0.335  0.079 -0.817 -0.718  0.735  0.048  0.274
## [101] -0.905 -0.475 -0.231
HIM <- d$HI
HIM
##   [1] 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1
##  [38] 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1
##  [75] 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0
## [112] 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0
## [149] 0 0 0 0 1 0 0 0 0 0 0 0
## Levels: 0 1
MEA <- d$ME
MEA
##   [1] -0.428  0.128 -0.420  0.534  0.351 -0.014 -0.007  0.718  0.569  0.683
##  [11] -0.663  0.166 -0.460 -0.699  0.518  0.254  0.688  0.010  0.334  0.429
##  [21] -0.756 -0.622  0.448  0.234 -0.324  0.333 -0.059 -0.132 -0.958  0.069
##  [31] -0.696  0.444  0.562 -0.048 -0.333  0.115 -0.792  0.661 -0.296 -0.038
##  [41]  0.236  0.354 -0.467  0.037  0.617  0.332 -0.579  0.159  0.666  0.456
##  [51] -0.128  0.126 -0.643  0.411  0.241 -0.415  0.151  0.134 -0.219  0.371
##  [61] -0.085  0.408  0.038 -0.088 -0.368 -0.480 -0.043  0.159  0.079  0.102
##  [71] -0.218 -1.043 -0.101 -0.048 -0.591  0.121  0.367  0.371 -0.058  0.831
##  [81]  0.426 -0.171  0.028  0.425  0.039 -0.317 -1.188  0.179 -0.674  0.188
##  [91]  0.163  0.657 -0.271  0.092 -0.432 -0.296 -0.516  0.316 -0.211 -0.181
## [101] -0.347 -0.670  0.759 -0.179 -0.511 -0.048 -0.090  0.535  0.356 -0.484
## [111] -0.025  0.013 -0.284 -0.084  0.084  0.303 -0.158 -0.442  0.039 -0.083
## [121]  0.249  0.192  0.264 -0.463 -0.517  0.464  0.522  0.312  0.315 -0.166
## [131]  0.145 -0.171  0.092 -0.101  0.032 -0.190  0.414  0.111 -0.134  0.161
## [141] -0.334 -0.703 -0.751  0.523 -0.335 -0.345 -0.288  0.633  0.749 -0.396
## [151]  0.498  0.259 -0.588 -0.391  0.218  0.360  0.140 -0.132  0.059  0.627
table(cut(MEA,4),d$Sc)
##                  
##                   1224 1288 1296 1308 1317 1358 1374 1433 1436 1461 1462 1477
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    1    0    1    0    0    0    0    0    0    0    1    0
##   (-0.178,0.326]     0    1    0    0    0    1    1    0    0    0    0    1
##   (0.326,0.833]      0    0    0    1    1    0    0    1    1    1    0    0
##                  
##                   1499 1637 1906 1909 1942 1946 2030 2208 2277 2305 2336 2458
##   (-1.19,-0.683]     0    1    0    0    0    0    0    0    1    0    0    0
##   (-0.683,-0.178]    1    0    0    0    0    0    0    0    0    1    0    0
##   (-0.178,0.326]     0    0    0    1    0    1    0    0    0    0    0    1
##   (0.326,0.833]      0    0    1    0    1    0    1    1    0    0    1    0
##                  
##                   2467 2526 2626 2629 2639 2651 2655 2658 2755 2768 2771 2818
##   (-1.19,-0.683]     0    0    0    0    1    0    1    0    0    0    0    0
##   (-0.683,-0.178]    1    0    0    0    0    0    0    0    0    0    1    0
##   (-0.178,0.326]     0    0    1    1    0    1    0    0    0    1    0    1
##   (0.326,0.833]      0    1    0    0    0    0    0    1    1    0    0    0
##                  
##                   2917 2990 2995 3013 3020 3039 3088 3152 3332 3351 3377 3427
##   (-1.19,-0.683]     1    0    0    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    0    0    1    0    0    0    1    0    0    0    1    0
##   (-0.178,0.326]     0    0    0    1    1    0    0    1    0    0    0    1
##   (0.326,0.833]      0    1    0    0    0    1    0    0    1    1    0    0
##                  
##                   3498 3499 3533 3610 3657 3688 3705 3716 3838 3881 3967 3992
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    0    0    0    0    1    0    0    1    0    0    1    0
##   (-0.178,0.326]     0    0    1    1    0    0    1    0    1    1    0    0
##   (0.326,0.833]      1    1    0    0    0    1    0    0    0    0    0    1
##                  
##                   3999 4042 4173 4223 4253 4292 4325 4350 4383 4410 4420 4458
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    0    0    1
##   (-0.683,-0.178]    0    0    0    0    1    1    0    0    0    0    1    0
##   (-0.178,0.326]     1    0    1    1    0    0    1    1    1    1    0    0
##   (0.326,0.833]      0    1    0    0    0    0    0    0    0    0    0    0
##                  
##                   4511 4523 4530 4642 4868 4931 5192 5404 5619 5640 5650 5667
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    0    0    1    0    0    0    0    0    0    0    0    0
##   (-0.178,0.326]     1    1    0    1    0    0    1    0    0    1    1    0
##   (0.326,0.833]      0    0    0    0    1    1    0    1    1    0    0    1
##                  
##                   5720 5761 5762 5783 5815 5819 5838 5937 6074 6089 6144 6170
##   (-1.19,-0.683]     0    0    1    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    0    1    0    0    1    0    0    0    1    0    1    1
##   (-0.178,0.326]     1    0    0    1    0    1    1    0    0    1    0    0
##   (0.326,0.833]      0    0    0    0    0    0    0    1    0    0    0    0
##                  
##                   6291 6366 6397 6415 6443 6464 6469 6484 6578 6600 6808 6816
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    1    0    1    1    1    1    0    1    1    0    0    0
##   (-0.178,0.326]     0    1    0    0    0    0    0    0    0    1    1    0
##   (0.326,0.833]      0    0    0    0    0    0    1    0    0    0    0    1
##                  
##                   6897 6990 7011 7101 7172 7232 7276 7332 7341 7342 7345 7364
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    0    1    0    0    1    0    0    0    0    1    0    0
##   (-0.178,0.326]     0    0    1    1    0    1    1    1    1    0    1    1
##   (0.326,0.833]      1    0    0    0    0    0    0    0    0    0    0    0
##                  
##                   7635 7688 7697 7734 7890 7919 8009 8150 8165 8175 8188 8193
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    0    0    0    1    1    0    0    0    0    0    0    0
##   (-0.178,0.326]     1    1    1    0    0    0    0    1    1    1    1    1
##   (0.326,0.833]      0    0    0    0    0    1    1    0    0    0    0    0
##                  
##                   8202 8357 8367 8477 8531 8627 8628 8707 8775 8800 8854 8857
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    1    1    0
##   (-0.683,-0.178]    0    0    0    1    0    0    0    0    1    0    0    0
##   (-0.178,0.326]     1    1    1    0    0    1    1    1    0    0    0    0
##   (0.326,0.833]      0    0    0    0    1    0    0    0    0    0    0    1
##                  
##                   8874 8946 8983 9021 9104 9158 9198 9225 9292 9340 9347 9359
##   (-1.19,-0.683]     0    0    0    0    0    0    0    0    0    0    0    0
##   (-0.683,-0.178]    1    1    1    0    0    1    0    0    1    1    0    0
##   (-0.178,0.326]     0    0    0    0    0    0    0    1    0    0    1    0
##   (0.326,0.833]      0    0    0    1    1    0    1    0    0    0    0    1
##                  
##                   9397 9508 9550 9586
##   (-1.19,-0.683]     0    0    0    0
##   (-0.683,-0.178]    0    0    0    0
##   (-0.178,0.326]     1    1    1    0
##   (0.326,0.833]      0    0    0    1
table(cut(MEA,4),d$Se)
##                  
##                   Public Catholic
##   (-1.19,-0.683]       7        2
##   (-0.683,-0.178]     32       10
##   (-0.178,0.326]      41       28
##   (0.326,0.833]       10       30
table(cut(MEA,4),cut(SIZ,4))
##                  
##                   (97.4,753] (753,1.41e+03] (1.41e+03,2.06e+03]
##   (-1.19,-0.683]           4              1                   1
##   (-0.683,-0.178]         17             12                   9
##   (-0.178,0.326]          20             21                  23
##   (0.326,0.833]           18             16                   4
##                  
##                   (2.06e+03,2.72e+03]
##   (-1.19,-0.683]                    3
##   (-0.683,-0.178]                   4
##   (-0.178,0.326]                    5
##   (0.326,0.833]                     2
table(cut(MEA,4),d$HI)
##                  
##                    0  1
##   (-1.19,-0.683]   1  8
##   (-0.683,-0.178] 23 19
##   (-0.178,0.326]  60  9
##   (0.326,0.833]   32  8
table(cut(MEA,4),cut(DIS,4))
##                  
##                   (-2.42,-1.12] (-1.12,0.17] (0.17,1.46] (1.46,2.76]
##   (-1.19,-0.683]              1            5           3           0
##   (-0.683,-0.178]             1           14          20           7
##   (-0.178,0.326]              6           33          23           7
##   (0.326,0.833]              13           24           2           1
table(cut(MEA,4),cut(PRA,4))
##                  
##                   (-0.001,0.25] (0.25,0.5] (0.5,0.75] (0.75,1]
##   (-1.19,-0.683]              5          3          1        0
##   (-0.683,-0.178]            17         19          5        1
##   (-0.178,0.326]              9         28         24        8
##   (0.326,0.833]               0          3         12       25
ME0.19_0.75 <- MEA[MEA>0.19 & MEA<0.75]
ME0.19_0.75
##  [1] 0.534 0.351 0.718 0.569 0.683 0.518 0.254 0.688 0.334 0.429 0.448 0.234
## [13] 0.333 0.444 0.562 0.661 0.236 0.354 0.617 0.332 0.666 0.456 0.411 0.241
## [25] 0.371 0.408 0.367 0.371 0.426 0.425 0.657 0.316 0.535 0.356 0.303 0.249
## [37] 0.192 0.264 0.464 0.522 0.312 0.315 0.414 0.523 0.633 0.749 0.498 0.259
## [49] 0.218 0.360 0.627