This is a notebook to try out the code from The R Journal paper about the neuralnet package, neuralnet: Training of Neural Networks.

library(datasets)

infert
library(neuralnet)
library(NeuralNetTools)


nn <- neuralnet(case~age+parity+induced+spontaneous, data=infert, hidden=2, err.fct="ce", linear.output=FALSE)
nn
## $call
## neuralnet(formula = case ~ age + parity + induced + spontaneous, 
##     data = infert, hidden = 2, err.fct = "ce", linear.output = FALSE)
## 
## $response
##     case
## 1      1
## 2      1
## 3      1
## 4      1
## 5      1
## 6      1
## 7      1
## 8      1
## 9      1
## 10     1
## 11     1
## 12     1
## 13     1
## 14     1
## 15     1
## 16     1
## 17     1
## 18     1
## 19     1
## 20     1
## 21     1
## 22     1
## 23     1
## 24     1
## 25     1
## 26     1
## 27     1
## 28     1
## 29     1
## 30     1
## 31     1
## 32     1
## 33     1
## 34     1
## 35     1
## 36     1
## 37     1
## 38     1
## 39     1
## 40     1
## 41     1
## 42     1
## 43     1
## 44     1
## 45     1
## 46     1
## 47     1
## 48     1
## 49     1
## 50     1
## 51     1
## 52     1
## 53     1
## 54     1
## 55     1
## 56     1
## 57     1
## 58     1
## 59     1
## 60     1
## 61     1
## 62     1
## 63     1
## 64     1
## 65     1
## 66     1
## 67     1
## 68     1
## 69     1
## 70     1
## 71     1
## 72     1
## 73     1
## 74     1
## 75     1
## 76     1
## 77     1
## 78     1
## 79     1
## 80     1
## 81     1
## 82     1
## 83     1
## 84     0
## 85     0
## 86     0
## 87     0
## 88     0
## 89     0
## 90     0
## 91     0
## 92     0
## 93     0
## 94     0
## 95     0
## 96     0
## 97     0
## 98     0
## 99     0
## 100    0
## 101    0
## 102    0
## 103    0
## 104    0
## 105    0
## 106    0
## 107    0
## 108    0
## 109    0
## 110    0
## 111    0
## 112    0
## 113    0
## 114    0
## 115    0
## 116    0
## 117    0
## 118    0
## 119    0
## 120    0
## 121    0
## 122    0
## 123    0
## 124    0
## 125    0
## 126    0
## 127    0
## 128    0
## 129    0
## 130    0
## 131    0
## 132    0
## 133    0
## 134    0
## 135    0
## 136    0
## 137    0
## 138    0
## 139    0
## 140    0
## 141    0
## 142    0
## 143    0
## 144    0
## 145    0
## 146    0
## 147    0
## 148    0
## 149    0
## 150    0
## 151    0
## 152    0
## 153    0
## 154    0
## 155    0
## 156    0
## 157    0
## 158    0
## 159    0
## 160    0
## 161    0
## 162    0
## 163    0
## 164    0
## 165    0
## 166    0
## 167    0
## 168    0
## 169    0
## 170    0
## 171    0
## 172    0
## 173    0
## 174    0
## 175    0
## 176    0
## 177    0
## 178    0
## 179    0
## 180    0
## 181    0
## 182    0
## 183    0
## 184    0
## 185    0
## 186    0
## 187    0
## 188    0
## 189    0
## 190    0
## 191    0
## 192    0
## 193    0
## 194    0
## 195    0
## 196    0
## 197    0
## 198    0
## 199    0
## 200    0
## 201    0
## 202    0
## 203    0
## 204    0
## 205    0
## 206    0
## 207    0
## 208    0
## 209    0
## 210    0
## 211    0
## 212    0
## 213    0
## 214    0
## 215    0
## 216    0
## 217    0
## 218    0
## 219    0
## 220    0
## 221    0
## 222    0
## 223    0
## 224    0
## 225    0
## 226    0
## 227    0
## 228    0
## 229    0
## 230    0
## 231    0
## 232    0
## 233    0
## 234    0
## 235    0
## 236    0
## 237    0
## 238    0
## 239    0
## 240    0
## 241    0
## 242    0
## 243    0
## 244    0
## 245    0
## 246    0
## 247    0
## 248    0
## 
## $covariate
##        [,1] [,2] [,3] [,4]
##   [1,]   26    6    1    2
##   [2,]   42    1    1    0
##   [3,]   39    6    2    0
##   [4,]   34    4    2    0
##   [5,]   35    3    1    1
##   [6,]   36    4    2    1
##   [7,]   23    1    0    0
##   [8,]   32    2    0    0
##   [9,]   21    1    0    1
##  [10,]   28    2    0    0
##  [11,]   29    2    1    0
##  [12,]   37    4    2    1
##  [13,]   31    1    1    0
##  [14,]   29    3    2    0
##  [15,]   31    2    1    1
##  [16,]   27    2    2    0
##  [17,]   30    5    2    1
##  [18,]   26    1    0    1
##  [19,]   25    3    2    1
##  [20,]   44    1    0    1
##  [21,]   40    1    0    1
##  [22,]   35    2    2    0
##  [23,]   28    2    0    2
##  [24,]   36    1    0    1
##  [25,]   27    2    1    1
##  [26,]   40    2    0    2
##  [27,]   38    2    0    2
##  [28,]   34    3    0    2
##  [29,]   28    4    1    2
##  [30,]   30    4    2    0
##  [31,]   32    1    0    1
##  [32,]   34    2    1    0
##  [33,]   42    1    1    0
##  [34,]   32    2    0    2
##  [35,]   39    1    1    0
##  [36,]   35    2    0    2
##  [37,]   36    1    0    1
##  [38,]   34    3    1    2
##  [39,]   30    3    0    0
##  [40,]   28    1    0    1
##  [41,]   39    3    0    2
##  [42,]   35    1    0    0
##  [43,]   41    1    0    0
##  [44,]   37    2    1    1
##  [45,]   30    1    0    0
##  [46,]   37    1    1    0
##  [47,]   28    2    0    2
##  [48,]   27    4    2    0
##  [49,]   26    2    2    0
##  [50,]   38    3    0    2
##  [51,]   24    3    1    2
##  [52,]   36    5    1    2
##  [53,]   27    3    1    1
##  [54,]   28    1    0    1
##  [55,]   29    2    0    2
##  [56,]   36    2    0    2
##  [57,]   28    2    1    0
##  [58,]   28    2    0    2
##  [59,]   28    1    0    1
##  [60,]   27    2    0    2
##  [61,]   35    2    0    2
##  [62,]   25    1    0    1
##  [63,]   34    1    0    1
##  [64,]   31    2    0    2
##  [65,]   26    2    1    0
##  [66,]   32    1    0    1
##  [67,]   21    1    0    1
##  [68,]   28    3    1    2
##  [69,]   37    3    0    2
##  [70,]   25    1    1    0
##  [71,]   32    1    1    0
##  [72,]   25    1    0    1
##  [73,]   31    1    0    1
##  [74,]   38    6    0    2
##  [75,]   26    2    0    2
##  [76,]   31    1    0    1
##  [77,]   31    2    0    1
##  [78,]   25    1    1    0
##  [79,]   31    1    0    1
##  [80,]   34    1    0    1
##  [81,]   35    2    2    0
##  [82,]   29    1    0    1
##  [83,]   23    1    0    1
##  [84,]   26    6    2    0
##  [85,]   42    1    0    0
##  [86,]   39    6    2    0
##  [87,]   34    4    0    1
##  [88,]   35    3    2    0
##  [89,]   36    4    1    1
##  [90,]   23    1    0    0
##  [91,]   32    2    2    0
##  [92,]   21    1    0    1
##  [93,]   28    2    0    1
##  [94,]   29    2    0    0
##  [95,]   37    4    1    1
##  [96,]   31    1    0    0
##  [97,]   29    3    0    1
##  [98,]   31    2    1    0
##  [99,]   27    2    1    0
## [100,]   30    5    0    2
## [101,]   26    1    0    0
## [102,]   25    3    0    1
## [103,]   44    1    0    0
## [104,]   40    1    0    0
## [105,]   35    2    0    0
## [106,]   28    2    0    0
## [107,]   36    1    0    0
## [108,]   27    2    0    1
## [109,]   40    2    0    0
## [110,]   38    2    0    0
## [111,]   34    3    0    0
## [112,]   28    4    0    2
## [113,]   30    4    1    1
## [114,]   32    1    0    0
## [115,]   34    2    1    0
## [116,]   42    1    1    0
## [117,]   32    2    0    0
## [118,]   39    1    0    0
## [119,]   35    2    0    0
## [120,]   36    1    0    0
## [121,]   34    3    2    0
## [122,]   30    3    0    2
## [123,]   28    1    1    0
## [124,]   39    3    1    0
## [125,]   35    1    0    0
## [126,]   41    1    0    0
## [127,]   37    2    0    0
## [128,]   30    1    1    0
## [129,]   37    1    0    0
## [130,]   28    2    1    0
## [131,]   27    4    2    1
## [132,]   26    2    1    0
## [133,]   38    3    1    0
## [134,]   24    3    2    1
## [135,]   36    5    1    1
## [136,]   27    3    1    1
## [137,]   28    1    1    0
## [138,]   29    2    1    0
## [139,]   36    2    1    0
## [140,]   28    2    1    1
## [141,]   28    2    2    0
## [142,]   28    1    1    0
## [143,]   27    2    1    0
## [144,]   35    2    2    0
## [145,]   25    1    1    0
## [146,]   34    1    0    0
## [147,]   31    2    0    0
## [148,]   26    2    0    1
## [149,]   32    1    0    0
## [150,]   21    1    0    1
## [151,]   28    3    2    0
## [152,]   37    3    1    1
## [153,]   25    1    0    0
## [154,]   32    1    1    0
## [155,]   25    1    0    0
## [156,]   31    1    0    1
## [157,]   26    2    0    2
## [158,]   31    1    0    0
## [159,]   31    2    2    0
## [160,]   25    1    0    0
## [161,]   31    1    0    0
## [162,]   34    1    0    0
## [163,]   35    2    0    0
## [164,]   29    1    0    1
## [165,]   23    1    0    1
## [166,]   26    6    2    0
## [167,]   42    1    0    0
## [168,]   39    6    2    0
## [169,]   34    4    0    2
## [170,]   35    3    0    0
## [171,]   36    4    0    2
## [172,]   23    1    0    0
## [173,]   32    2    0    1
## [174,]   21    1    1    0
## [175,]   28    2    0    1
## [176,]   29    2    0    1
## [177,]   37    4    0    1
## [178,]   31    1    0    0
## [179,]   29    3    0    2
## [180,]   31    2    1    0
## [181,]   27    2    0    0
## [182,]   30    5    1    2
## [183,]   26    1    1    0
## [184,]   25    3    1    1
## [185,]   44    1    1    0
## [186,]   40    1    0    0
## [187,]   35    2    0    0
## [188,]   28    2    2    0
## [189,]   36    1    0    1
## [190,]   27    2    0    2
## [191,]   40    2    0    0
## [192,]   38    2    0    0
## [193,]   34    3    0    0
## [194,]   28    4    2    1
## [195,]   30    4    1    1
## [196,]   32    1    0    0
## [197,]   34    2    0    0
## [198,]   42    1    0    0
## [199,]   32    2    2    0
## [200,]   39    1    0    0
## [201,]   35    2    0    0
## [202,]   36    1    0    0
## [203,]   34    3    2    0
## [204,]   30    3    0    1
## [205,]   28    1    0    0
## [206,]   39    3    0    0
## [207,]   35    1    0    0
## [208,]   41    1    0    0
## [209,]   37    2    0    0
## [210,]   30    1    0    0
## [211,]   37    1    0    1
## [212,]   28    2    1    0
## [213,]   27    4    2    0
## [214,]   26    2    1    0
## [215,]   38    3    1    0
## [216,]   24    3    2    0
## [217,]   36    5    2    1
## [218,]   27    3    2    0
## [219,]   28    1    0    1
## [220,]   29    2    1    1
## [221,]   36    2    0    1
## [222,]   28    2    2    0
## [223,]   28    2    1    0
## [224,]   28    1    0    0
## [225,]   27    2    1    0
## [226,]   35    2    1    0
## [227,]   25    1    1    0
## [228,]   34    1    0    0
## [229,]   31    2    1    0
## [230,]   26    2    0    2
## [231,]   32    1    1    0
## [232,]   21    1    0    0
## [233,]   28    3    2    0
## [234,]   37    3    0    2
## [235,]   25    1    1    0
## [236,]   32    1    0    0
## [237,]   25    1    1    0
## [238,]   31    1    0    0
## [239,]   38    6    0    2
## [240,]   26    2    1    1
## [241,]   31    1    1    0
## [242,]   31    2    0    1
## [243,]   25    1    0    1
## [244,]   31    1    0    1
## [245,]   34    1    0    0
## [246,]   35    2    2    0
## [247,]   29    1    0    1
## [248,]   23    1    0    1
## 
## $model.list
## $model.list$response
## [1] "case"
## 
## $model.list$variables
## [1] "age"         "parity"      "induced"     "spontaneous"
## 
## 
## $err.fct
## function (x, y) 
## {
##     -(y * log(x) + (1 - y) * log(1 - x))
## }
## <environment: 0x5620e9304450>
## attr(,"type")
## [1] "ce"
## 
## $act.fct
## function (x) 
## {
##     1/(1 + exp(-x))
## }
## <environment: 0x5620e9304450>
## attr(,"type")
## [1] "logistic"
## 
## $linear.output
## [1] FALSE
## 
## $data
##     education age parity induced case spontaneous stratum pooled.stratum
## 1      0-5yrs  26      6       1    1           2       1              3
## 2      0-5yrs  42      1       1    1           0       2              1
## 3      0-5yrs  39      6       2    1           0       3              4
## 4      0-5yrs  34      4       2    1           0       4              2
## 5     6-11yrs  35      3       1    1           1       5             32
## 6     6-11yrs  36      4       2    1           1       6             36
## 7     6-11yrs  23      1       0    1           0       7              6
## 8     6-11yrs  32      2       0    1           0       8             22
## 9     6-11yrs  21      1       0    1           1       9              5
## 10    6-11yrs  28      2       0    1           0      10             19
## 11    6-11yrs  29      2       1    1           0      11             20
## 12    6-11yrs  37      4       2    1           1      12             37
## 13    6-11yrs  31      1       1    1           0      13              9
## 14    6-11yrs  29      3       2    1           0      14             29
## 15    6-11yrs  31      2       1    1           1      15             21
## 16    6-11yrs  27      2       2    1           0      16             18
## 17    6-11yrs  30      5       2    1           1      17             38
## 18    6-11yrs  26      1       0    1           1      18              7
## 19    6-11yrs  25      3       2    1           1      19             28
## 20    6-11yrs  44      1       0    1           1      20             17
## 21    6-11yrs  40      1       0    1           1      21             14
## 22    6-11yrs  35      2       2    1           0      22             24
## 23    6-11yrs  28      2       0    1           2      23             19
## 24    6-11yrs  36      1       0    1           1      24             12
## 25    6-11yrs  27      2       1    1           1      25             18
## 26    6-11yrs  40      2       0    1           2      26             27
## 27    6-11yrs  38      2       0    1           2      27             26
## 28    6-11yrs  34      3       0    1           2      28             31
## 29    6-11yrs  28      4       1    1           2      29             34
## 30    6-11yrs  30      4       2    1           0      30             35
## 31    6-11yrs  32      1       0    1           1      31             10
## 32    6-11yrs  34      2       1    1           0      32             23
## 33    6-11yrs  42      1       1    1           0      33             16
## 34    6-11yrs  32      2       0    1           2      34             22
## 35    6-11yrs  39      1       1    1           0      35             13
## 36    6-11yrs  35      2       0    1           2      36             24
## 37    6-11yrs  36      1       0    1           1      37             12
## 38    6-11yrs  34      3       1    1           2      38             31
## 39    6-11yrs  30      3       0    1           0      39             30
## 40    6-11yrs  28      1       0    1           1      40              8
## 41    6-11yrs  39      3       0    1           2      41             33
## 42    6-11yrs  35      1       0    1           0      42             11
## 43    6-11yrs  41      1       0    1           0      43             15
## 44    6-11yrs  37      2       1    1           1      44             25
## 45    12+ yrs  30      1       0    1           0      45             44
## 46    12+ yrs  37      1       1    1           0      46             48
## 47    12+ yrs  28      2       0    1           2      47             51
## 48    12+ yrs  27      4       2    1           0      48             61
## 49    12+ yrs  26      2       2    1           0      49             49
## 50    12+ yrs  38      3       0    1           2      50             60
## 51    12+ yrs  24      3       1    1           2      51             56
## 52    12+ yrs  36      5       1    1           2      52             62
## 53    12+ yrs  27      3       1    1           1      53             57
## 54    12+ yrs  28      1       0    1           1      54             42
## 55    12+ yrs  29      2       0    1           2      55             52
## 56    12+ yrs  36      2       0    1           2      56             55
## 57    12+ yrs  28      2       1    1           0      57             51
## 58    12+ yrs  28      2       0    1           2      58             51
## 59    12+ yrs  28      1       0    1           1      59             42
## 60    12+ yrs  27      2       0    1           2      60             50
## 61    12+ yrs  35      2       0    1           2      61             54
## 62    12+ yrs  25      1       0    1           1      62             41
## 63    12+ yrs  34      1       0    1           1      63             47
## 64    12+ yrs  31      2       0    1           2      64             53
## 65    12+ yrs  26      2       1    1           0      65             49
## 66    12+ yrs  32      1       0    1           1      66             46
## 67    12+ yrs  21      1       0    1           1      67             39
## 68    12+ yrs  28      3       1    1           2      68             58
## 69    12+ yrs  37      3       0    1           2      69             59
## 70    12+ yrs  25      1       1    1           0      70             41
## 71    12+ yrs  32      1       1    1           0      71             46
## 72    12+ yrs  25      1       0    1           1      72             41
## 73    12+ yrs  31      1       0    1           1      73             45
## 74    12+ yrs  38      6       0    1           2      74             63
## 75    12+ yrs  26      2       0    1           2      75             49
## 76    12+ yrs  31      1       0    1           1      76             45
## 77    12+ yrs  31      2       0    1           1      77             53
## 78    12+ yrs  25      1       1    1           0      78             41
## 79    12+ yrs  31      1       0    1           1      79             45
## 80    12+ yrs  34      1       0    1           1      80             47
## 81    12+ yrs  35      2       2    1           0      81             54
## 82    12+ yrs  29      1       0    1           1      82             43
## 83    12+ yrs  23      1       0    1           1      83             40
## 84     0-5yrs  26      6       2    0           0       1              3
## 85     0-5yrs  42      1       0    0           0       2              1
## 86     0-5yrs  39      6       2    0           0       3              4
## 87     0-5yrs  34      4       0    0           1       4              2
## 88    6-11yrs  35      3       2    0           0       5             32
## 89    6-11yrs  36      4       1    0           1       6             36
## 90    6-11yrs  23      1       0    0           0       7              6
## 91    6-11yrs  32      2       2    0           0       8             22
## 92    6-11yrs  21      1       0    0           1       9              5
## 93    6-11yrs  28      2       0    0           1      10             19
## 94    6-11yrs  29      2       0    0           0      11             20
## 95    6-11yrs  37      4       1    0           1      12             37
## 96    6-11yrs  31      1       0    0           0      13              9
## 97    6-11yrs  29      3       0    0           1      14             29
## 98    6-11yrs  31      2       1    0           0      15             21
## 99    6-11yrs  27      2       1    0           0      16             18
## 100   6-11yrs  30      5       0    0           2      17             38
## 101   6-11yrs  26      1       0    0           0      18              7
## 102   6-11yrs  25      3       0    0           1      19             28
## 103   6-11yrs  44      1       0    0           0      20             17
## 104   6-11yrs  40      1       0    0           0      21             14
## 105   6-11yrs  35      2       0    0           0      22             24
## 106   6-11yrs  28      2       0    0           0      23             19
## 107   6-11yrs  36      1       0    0           0      24             12
## 108   6-11yrs  27      2       0    0           1      25             18
## 109   6-11yrs  40      2       0    0           0      26             27
## 110   6-11yrs  38      2       0    0           0      27             26
## 111   6-11yrs  34      3       0    0           0      28             31
## 112   6-11yrs  28      4       0    0           2      29             34
## 113   6-11yrs  30      4       1    0           1      30             35
## 114   6-11yrs  32      1       0    0           0      31             10
## 115   6-11yrs  34      2       1    0           0      32             23
## 116   6-11yrs  42      1       1    0           0      33             16
## 117   6-11yrs  32      2       0    0           0      34             22
## 118   6-11yrs  39      1       0    0           0      35             13
## 119   6-11yrs  35      2       0    0           0      36             24
## 120   6-11yrs  36      1       0    0           0      37             12
## 121   6-11yrs  34      3       2    0           0      38             31
## 122   6-11yrs  30      3       0    0           2      39             30
## 123   6-11yrs  28      1       1    0           0      40              8
## 124   6-11yrs  39      3       1    0           0      41             33
## 125   6-11yrs  35      1       0    0           0      42             11
## 126   6-11yrs  41      1       0    0           0      43             15
## 127   6-11yrs  37      2       0    0           0      44             25
## 128   12+ yrs  30      1       1    0           0      45             44
## 129   12+ yrs  37      1       0    0           0      46             48
## 130   12+ yrs  28      2       1    0           0      47             51
## 131   12+ yrs  27      4       2    0           1      48             61
## 132   12+ yrs  26      2       1    0           0      49             49
## 133   12+ yrs  38      3       1    0           0      50             60
## 134   12+ yrs  24      3       2    0           1      51             56
## 135   12+ yrs  36      5       1    0           1      52             62
## 136   12+ yrs  27      3       1    0           1      53             57
## 137   12+ yrs  28      1       1    0           0      54             42
## 138   12+ yrs  29      2       1    0           0      55             52
## 139   12+ yrs  36      2       1    0           0      56             55
## 140   12+ yrs  28      2       1    0           1      57             51
## 141   12+ yrs  28      2       2    0           0      58             51
## 142   12+ yrs  28      1       1    0           0      59             42
## 143   12+ yrs  27      2       1    0           0      60             50
## 144   12+ yrs  35      2       2    0           0      61             54
## 145   12+ yrs  25      1       1    0           0      62             41
## 146   12+ yrs  34      1       0    0           0      63             47
## 147   12+ yrs  31      2       0    0           0      64             53
## 148   12+ yrs  26      2       0    0           1      65             49
## 149   12+ yrs  32      1       0    0           0      66             46
## 150   12+ yrs  21      1       0    0           1      67             39
## 151   12+ yrs  28      3       2    0           0      68             58
## 152   12+ yrs  37      3       1    0           1      69             59
## 153   12+ yrs  25      1       0    0           0      70             41
## 154   12+ yrs  32      1       1    0           0      71             46
## 155   12+ yrs  25      1       0    0           0      72             41
## 156   12+ yrs  31      1       0    0           1      73             45
## 157   12+ yrs  26      2       0    0           2      75             49
## 158   12+ yrs  31      1       0    0           0      76             45
## 159   12+ yrs  31      2       2    0           0      77             53
## 160   12+ yrs  25      1       0    0           0      78             41
## 161   12+ yrs  31      1       0    0           0      79             45
## 162   12+ yrs  34      1       0    0           0      80             47
## 163   12+ yrs  35      2       0    0           0      81             54
## 164   12+ yrs  29      1       0    0           1      82             43
## 165   12+ yrs  23      1       0    0           1      83             40
## 166    0-5yrs  26      6       2    0           0       1              3
## 167    0-5yrs  42      1       0    0           0       2              1
## 168    0-5yrs  39      6       2    0           0       3              4
## 169    0-5yrs  34      4       0    0           2       4              2
## 170   6-11yrs  35      3       0    0           0       5             32
## 171   6-11yrs  36      4       0    0           2       6             36
## 172   6-11yrs  23      1       0    0           0       7              6
## 173   6-11yrs  32      2       0    0           1       8             22
## 174   6-11yrs  21      1       1    0           0       9              5
## 175   6-11yrs  28      2       0    0           1      10             19
## 176   6-11yrs  29      2       0    0           1      11             20
## 177   6-11yrs  37      4       0    0           1      12             37
## 178   6-11yrs  31      1       0    0           0      13              9
## 179   6-11yrs  29      3       0    0           2      14             29
## 180   6-11yrs  31      2       1    0           0      15             21
## 181   6-11yrs  27      2       0    0           0      16             18
## 182   6-11yrs  30      5       1    0           2      17             38
## 183   6-11yrs  26      1       1    0           0      18              7
## 184   6-11yrs  25      3       1    0           1      19             28
## 185   6-11yrs  44      1       1    0           0      20             17
## 186   6-11yrs  40      1       0    0           0      21             14
## 187   6-11yrs  35      2       0    0           0      22             24
## 188   6-11yrs  28      2       2    0           0      23             19
## 189   6-11yrs  36      1       0    0           1      24             12
## 190   6-11yrs  27      2       0    0           2      25             18
## 191   6-11yrs  40      2       0    0           0      26             27
## 192   6-11yrs  38      2       0    0           0      27             26
## 193   6-11yrs  34      3       0    0           0      28             31
## 194   6-11yrs  28      4       2    0           1      29             34
## 195   6-11yrs  30      4       1    0           1      30             35
## 196   6-11yrs  32      1       0    0           0      31             10
## 197   6-11yrs  34      2       0    0           0      32             23
## 198   6-11yrs  42      1       0    0           0      33             16
## 199   6-11yrs  32      2       2    0           0      34             22
## 200   6-11yrs  39      1       0    0           0      35             13
## 201   6-11yrs  35      2       0    0           0      36             24
## 202   6-11yrs  36      1       0    0           0      37             12
## 203   6-11yrs  34      3       2    0           0      38             31
## 204   6-11yrs  30      3       0    0           1      39             30
## 205   6-11yrs  28      1       0    0           0      40              8
## 206   6-11yrs  39      3       0    0           0      41             33
## 207   6-11yrs  35      1       0    0           0      42             11
## 208   6-11yrs  41      1       0    0           0      43             15
## 209   6-11yrs  37      2       0    0           0      44             25
## 210   12+ yrs  30      1       0    0           0      45             44
## 211   12+ yrs  37      1       0    0           1      46             48
## 212   12+ yrs  28      2       1    0           0      47             51
## 213   12+ yrs  27      4       2    0           0      48             61
## 214   12+ yrs  26      2       1    0           0      49             49
## 215   12+ yrs  38      3       1    0           0      50             60
## 216   12+ yrs  24      3       2    0           0      51             56
## 217   12+ yrs  36      5       2    0           1      52             62
## 218   12+ yrs  27      3       2    0           0      53             57
## 219   12+ yrs  28      1       0    0           1      54             42
## 220   12+ yrs  29      2       1    0           1      55             52
## 221   12+ yrs  36      2       0    0           1      56             55
## 222   12+ yrs  28      2       2    0           0      57             51
## 223   12+ yrs  28      2       1    0           0      58             51
## 224   12+ yrs  28      1       0    0           0      59             42
## 225   12+ yrs  27      2       1    0           0      60             50
## 226   12+ yrs  35      2       1    0           0      61             54
## 227   12+ yrs  25      1       1    0           0      62             41
## 228   12+ yrs  34      1       0    0           0      63             47
## 229   12+ yrs  31      2       1    0           0      64             53
## 230   12+ yrs  26      2       0    0           2      65             49
## 231   12+ yrs  32      1       1    0           0      66             46
## 232   12+ yrs  21      1       0    0           0      67             39
## 233   12+ yrs  28      3       2    0           0      68             58
## 234   12+ yrs  37      3       0    0           2      69             59
## 235   12+ yrs  25      1       1    0           0      70             41
## 236   12+ yrs  32      1       0    0           0      71             46
## 237   12+ yrs  25      1       1    0           0      72             41
## 238   12+ yrs  31      1       0    0           0      73             45
## 239   12+ yrs  38      6       0    0           2      74             63
## 240   12+ yrs  26      2       1    0           1      75             49
## 241   12+ yrs  31      1       1    0           0      76             45
## 242   12+ yrs  31      2       0    0           1      77             53
## 243   12+ yrs  25      1       0    0           1      78             41
## 244   12+ yrs  31      1       0    0           1      79             45
## 245   12+ yrs  34      1       0    0           0      80             47
## 246   12+ yrs  35      2       2    0           0      81             54
## 247   12+ yrs  29      1       0    0           1      82             43
## 248   12+ yrs  23      1       0    0           1      83             40
## 
## $net.result
## $net.result[[1]]
##                       [,1]
## 1   0.15504454728050834356
## 2   0.62177093080422318749
## 3   0.14527910367618784848
## 4   0.15462701698015465790
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## 89  0.18421400942691382174
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## 95  0.18926782823429233460
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## 103 0.22235756325628761032
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## 112 0.19301947382535561415
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## 114 0.16308852269607623797
## 115 0.18110710349733435964
## 116 0.62177093080422318749
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## 118 0.18704751096675789612
## 119 0.14936027796983902816
## 120 0.17425971358697242564
## 121 0.20187447175444037106
## 122 0.49101667699324941241
## 123 0.24973885859342861981
## 124 0.15620302913020736590
## 125 0.17093989996917269281
## 126 0.19861625904732374548
## 127 0.15058168845908040390
## 128 0.27875056261841901772
## 129 0.17801086805559615533
## 130 0.16253687119826643048
## 131 0.26968057643712023408
## 132 0.15879289765407308965
## 133 0.15493134876931954902
## 134 0.59106993210447456022
## 135 0.15164365379894717556
## 136 0.22382934433601878177
## 137 0.24973885859342861981
## 138 0.16477413794283887749
## 139 0.19100926865008491240
## 140 0.60045518926055174713
## 141 0.31014991457447699252
## 142 0.24973885859342861981
## 143 0.16055292846375721072
## 144 0.50449124114752896819
## 145 0.21751014749308356100
## 146 0.16800039942345176835
## 147 0.14762814744606156392
## 148 0.18920117082127707597
## 149 0.16308852269607623797
## 150 0.29009439957971977497
## 151 0.17249634799146854047
## 152 0.40614509040514795712
## 153 0.15278625052121605488
## 154 0.31534089022836314653
## 155 0.15278625052121605488
## 156 0.57345249225457339826
## 157 0.83184225203331219056
## 158 0.16104219588648249761
## 159 0.37992748206019505419
## 160 0.15278625052121605488
## 161 0.16104219588648249761
## 162 0.16800039942345176835
## 163 0.14936027796983902816
## 164 0.50197914649175912061
## 165 0.32950846833178276674
## 166 0.00000000003642883062
## 167 0.20557006893849566476
## 168 0.14527910367618784848
## 169 0.24500058930320672834
## 170 0.14554381830717774693
## 171 0.27273283101430290110
## 172 0.15110352887337669126
## 173 0.23697524943435627209
## 174 0.18952332426393778131
## 175 0.20137561268498818667
## 176 0.20869435366932798104
## 177 0.14974518051574012278
## 178 0.16104219588648249761
## 179 0.45758812332965392855
## 180 0.17014707377453033854
## 181 0.14654108711209656857
## 182 0.24188677012373532849
## 183 0.22696047571087585304
## 184 0.20671840891825721265
## 185 0.69181764739113915663
## 186 0.19247409997794839853
## 187 0.14936027796983902816
## 188 0.31014991457447699252
## 189 0.74499541590568041372
## 190 0.85142161943670136015
## 191 0.15304569953660127068
## 192 0.15130856404461076603
## 193 0.14545142836124050345
## 194 0.28583336507371404078
## 195 0.16403369941110673702
## 196 0.16308852269607623797
## 197 0.14884875449907053468
## 198 0.20557006893849566476
## 199 0.40788310081226664128
## 200 0.18704751096675789612
## 201 0.14936027796983902816
## 202 0.17425971358697242564
## 203 0.20187447175444037106
## 204 0.15714321061237038202
## 205 0.15618629599043126754
## 206 0.14604165232656299289
## 207 0.17093989996917269281
## 208 0.19861625904732374548
## 209 0.15058168845908040390
## 210 0.15922701112144604929
## 211 0.77367392214549779439
## 212 0.16253687119826643048
## 213 0.14908889575041375797
## 214 0.15879289765407308965
## 215 0.15493134876931954902
## 216 0.16200205819888946479
## 217 0.20681206994109227471
## 218 0.16937872047422194988
## 219 0.46802214874172026748
## 220 0.63656842224829413013
## 221 0.29492653791223377713
## 222 0.31014991457447699252
## 223 0.16253687119826643048
## 224 0.15618629599043126754
## 225 0.16055292846375721072
## 226 0.18575306103438327110
## 227 0.21751014749308356100
## 228 0.16800039942345176835
## 229 0.17014707377453033854
## 230 0.83184225203331219056
## 231 0.31534089022836314653
## 232 0.14977309373352207245
## 233 0.17249634799146854047
## 234 0.73535527385013665924
## 235 0.21751014749308356100
## 236 0.16308852269607623797
## 237 0.21751014749308356100
## 238 0.16104219588648249761
## 239 0.14956203987886820816
## 240 0.52808573382713597244
## 241 0.29601597482457353561
## 242 0.22636154529118437950
## 243 0.37799867750532656352
## 244 0.57345249225457339826
## 245 0.16800039942345176835
## 246 0.50449124114752896819
## 247 0.50197914649175912061
## 248 0.32950846833178276674
## 
## 
## $weights
## $weights[[1]]
## $weights[[1]][[1]]
##                 [,1]          [,2]
## [1,]    0.2322283446 -5.6241282822
## [2,]   -2.4413400155  0.1155267072
## [3,]   10.6160880271 -1.7016627910
## [4,]   -0.5618561981  2.1339662740
## [5,] -494.6989447203  3.2510830817
## 
## $weights[[1]][[2]]
##               [,1]
## [1,]  -1.776806712
## [2,] -65.752163208
## [3,]   5.467610110
## 
## 
## 
## $startweights
## $startweights[[1]]
## $startweights[[1]][[1]]
##               [,1]          [,2]
## [1,] -0.4356730546  1.2141741093
## [2,] -0.9846048984 -0.6788073563
## [3,]  1.2987981300 -0.2604582613
## [4,] -1.0294474110  0.2393634575
## [5,] -0.0953042912 -0.4714783384
## 
## $startweights[[1]][[2]]
##               [,1]
## [1,] -0.2296551149
## [2,] -0.9862597964
## [3,]  1.0376326354
## 
## 
## 
## $generalized.weights
## $generalized.weights[[1]]
##                 [,1]              [,2]           [,3]             [,4]
## 1    0.0092454088648   -0.136181222770 0.170777746382    0.26017873326
## 2    0.1534442172832   -2.260172745432 2.834364386285    4.31813483458
## 3    0.0005411800285   -0.007971368164 0.009996475741    0.01522956297
## 4    0.0088875444029   -0.130910020520 0.164167407434    0.25010792690
## 5    0.1062680593893   -1.565286563380 1.962943982287    2.99053178528
## 6    0.1374960760665   -2.025262921155 2.539776266300    3.86933184054
## 7    0.0058181637602   -0.085699255352 0.107470952294    0.16373126372
## 8    0.0030285535800   -0.044609398652 0.055942312855    0.08522773255
## 9    0.0854482704723   -1.258619291657 1.578368601857    2.40463381295
## 10   0.0019146735353   -0.028202385319 0.035367135861    0.05388159056
## 11   0.0172551449104   -0.254161472719 0.318730605037    0.48558390555
## 12   0.1429066834154   -2.104959031460 2.639718988479    4.02159389696
## 13   0.0876679331539   -1.291314046701 1.619369383546    2.46709822455
## 14   0.0257965686737   -0.379973272857 0.476504601032    0.72595151368
## 15   0.1577665712470   -2.323839312984 2.914205297574    4.43977191904
## 16   0.0859319810097   -1.265744156919 1.587303522604    2.41824610384
## 17   0.0249432639570   -0.367404431239 0.460742674369    0.70193832578
## 18   0.1200637418371   -1.768491519715 2.217772686207    3.37876157978
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## 240  0.1428434359450   -2.104027421189 2.638550704780    4.01981402471
## 241  0.0876679331539   -1.291314046701 1.619369383546    2.46709822455
## 242  0.0569482342836   -0.838825009552 1.051926556589    1.60260294315
## 243  0.1131794516690   -1.667088643249 2.090608644298    3.18502802819
## 244  0.1486806057109   -2.190006627501 2.746372728927    4.18408014400
## 245  0.0197799045615   -0.291350185682 0.365367024225    0.55663417250
## 246  0.1392823060525   -2.051573383699 2.572770840795    3.91959885002
## 247  0.1388814132147   -2.045668390458 2.565365697725    3.90831716500
## 248  0.0991691027225   -1.460721734131 1.831814700828    2.79075721824
## 
## 
## $result.matrix
##                                         1
## error                    124.899227679359
## reached.threshold          0.009210615743
## steps                   4978.000000000000
## Intercept.to.1layhid1      0.232228344573
## age.to.1layhid1           -2.441340015547
## parity.to.1layhid1        10.616088027125
## induced.to.1layhid1       -0.561856198073
## spontaneous.to.1layhid1 -494.698944720290
## Intercept.to.1layhid2     -5.624128282218
## age.to.1layhid2            0.115526707226
## parity.to.1layhid2        -1.701662790977
## induced.to.1layhid2        2.133966274020
## spontaneous.to.1layhid2    3.251083081713
## Intercept.to.case         -1.776806711931
## 1layhid.1.to.case        -65.752163207990
## 1layhid.2.to.case          5.467610109614
## 
## attr(,"class")
## [1] "nn"
garson(nn)

out <- cbind(nn$covariate,nn$net.result[[1]])
dimnames(out) <- list(NULL,c("age","parity","induced","spontaneous","nn-output"))
head(out)
##      age parity induced spontaneous    nn-output
## [1,]  26      6       1           2 0.1550445473
## [2,]  42      1       1           0 0.6217709308
## [3,]  39      6       2           0 0.1452791037
## [4,]  34      4       2           0 0.1546270170
## [5,]  35      3       1           1 0.3528767654
## [6,]  36      4       2           1 0.4934958981
nn.bp <- neuralnet(case~age+parity+induced+spontaneous, data=infert, hidden=2, err.fct="ce",
                   linear.output=FALSE, algorithm="backprop", learningrate=0.01)
nn.bp
## $call
## neuralnet(formula = case ~ age + parity + induced + spontaneous, 
##     data = infert, hidden = 2, learningrate = 0.01, algorithm = "backprop", 
##     err.fct = "ce", linear.output = FALSE)
## 
## $response
##     case
## 1      1
## 2      1
## 3      1
## 4      1
## 5      1
## 6      1
## 7      1
## 8      1
## 9      1
## 10     1
## 11     1
## 12     1
## 13     1
## 14     1
## 15     1
## 16     1
## 17     1
## 18     1
## 19     1
## 20     1
## 21     1
## 22     1
## 23     1
## 24     1
## 25     1
## 26     1
## 27     1
## 28     1
## 29     1
## 30     1
## 31     1
## 32     1
## 33     1
## 34     1
## 35     1
## 36     1
## 37     1
## 38     1
## 39     1
## 40     1
## 41     1
## 42     1
## 43     1
## 44     1
## 45     1
## 46     1
## 47     1
## 48     1
## 49     1
## 50     1
## 51     1
## 52     1
## 53     1
## 54     1
## 55     1
## 56     1
## 57     1
## 58     1
## 59     1
## 60     1
## 61     1
## 62     1
## 63     1
## 64     1
## 65     1
## 66     1
## 67     1
## 68     1
## 69     1
## 70     1
## 71     1
## 72     1
## 73     1
## 74     1
## 75     1
## 76     1
## 77     1
## 78     1
## 79     1
## 80     1
## 81     1
## 82     1
## 83     1
## 84     0
## 85     0
## 86     0
## 87     0
## 88     0
## 89     0
## 90     0
## 91     0
## 92     0
## 93     0
## 94     0
## 95     0
## 96     0
## 97     0
## 98     0
## 99     0
## 100    0
## 101    0
## 102    0
## 103    0
## 104    0
## 105    0
## 106    0
## 107    0
## 108    0
## 109    0
## 110    0
## 111    0
## 112    0
## 113    0
## 114    0
## 115    0
## 116    0
## 117    0
## 118    0
## 119    0
## 120    0
## 121    0
## 122    0
## 123    0
## 124    0
## 125    0
## 126    0
## 127    0
## 128    0
## 129    0
## 130    0
## 131    0
## 132    0
## 133    0
## 134    0
## 135    0
## 136    0
## 137    0
## 138    0
## 139    0
## 140    0
## 141    0
## 142    0
## 143    0
## 144    0
## 145    0
## 146    0
## 147    0
## 148    0
## 149    0
## 150    0
## 151    0
## 152    0
## 153    0
## 154    0
## 155    0
## 156    0
## 157    0
## 158    0
## 159    0
## 160    0
## 161    0
## 162    0
## 163    0
## 164    0
## 165    0
## 166    0
## 167    0
## 168    0
## 169    0
## 170    0
## 171    0
## 172    0
## 173    0
## 174    0
## 175    0
## 176    0
## 177    0
## 178    0
## 179    0
## 180    0
## 181    0
## 182    0
## 183    0
## 184    0
## 185    0
## 186    0
## 187    0
## 188    0
## 189    0
## 190    0
## 191    0
## 192    0
## 193    0
## 194    0
## 195    0
## 196    0
## 197    0
## 198    0
## 199    0
## 200    0
## 201    0
## 202    0
## 203    0
## 204    0
## 205    0
## 206    0
## 207    0
## 208    0
## 209    0
## 210    0
## 211    0
## 212    0
## 213    0
## 214    0
## 215    0
## 216    0
## 217    0
## 218    0
## 219    0
## 220    0
## 221    0
## 222    0
## 223    0
## 224    0
## 225    0
## 226    0
## 227    0
## 228    0
## 229    0
## 230    0
## 231    0
## 232    0
## 233    0
## 234    0
## 235    0
## 236    0
## 237    0
## 238    0
## 239    0
## 240    0
## 241    0
## 242    0
## 243    0
## 244    0
## 245    0
## 246    0
## 247    0
## 248    0
## 
## $covariate
##        [,1] [,2] [,3] [,4]
##   [1,]   26    6    1    2
##   [2,]   42    1    1    0
##   [3,]   39    6    2    0
##   [4,]   34    4    2    0
##   [5,]   35    3    1    1
##   [6,]   36    4    2    1
##   [7,]   23    1    0    0
##   [8,]   32    2    0    0
##   [9,]   21    1    0    1
##  [10,]   28    2    0    0
##  [11,]   29    2    1    0
##  [12,]   37    4    2    1
##  [13,]   31    1    1    0
##  [14,]   29    3    2    0
##  [15,]   31    2    1    1
##  [16,]   27    2    2    0
##  [17,]   30    5    2    1
##  [18,]   26    1    0    1
##  [19,]   25    3    2    1
##  [20,]   44    1    0    1
##  [21,]   40    1    0    1
##  [22,]   35    2    2    0
##  [23,]   28    2    0    2
##  [24,]   36    1    0    1
##  [25,]   27    2    1    1
##  [26,]   40    2    0    2
##  [27,]   38    2    0    2
##  [28,]   34    3    0    2
##  [29,]   28    4    1    2
##  [30,]   30    4    2    0
##  [31,]   32    1    0    1
##  [32,]   34    2    1    0
##  [33,]   42    1    1    0
##  [34,]   32    2    0    2
##  [35,]   39    1    1    0
##  [36,]   35    2    0    2
##  [37,]   36    1    0    1
##  [38,]   34    3    1    2
##  [39,]   30    3    0    0
##  [40,]   28    1    0    1
##  [41,]   39    3    0    2
##  [42,]   35    1    0    0
##  [43,]   41    1    0    0
##  [44,]   37    2    1    1
##  [45,]   30    1    0    0
##  [46,]   37    1    1    0
##  [47,]   28    2    0    2
##  [48,]   27    4    2    0
##  [49,]   26    2    2    0
##  [50,]   38    3    0    2
##  [51,]   24    3    1    2
##  [52,]   36    5    1    2
##  [53,]   27    3    1    1
##  [54,]   28    1    0    1
##  [55,]   29    2    0    2
##  [56,]   36    2    0    2
##  [57,]   28    2    1    0
##  [58,]   28    2    0    2
##  [59,]   28    1    0    1
##  [60,]   27    2    0    2
##  [61,]   35    2    0    2
##  [62,]   25    1    0    1
##  [63,]   34    1    0    1
##  [64,]   31    2    0    2
##  [65,]   26    2    1    0
##  [66,]   32    1    0    1
##  [67,]   21    1    0    1
##  [68,]   28    3    1    2
##  [69,]   37    3    0    2
##  [70,]   25    1    1    0
##  [71,]   32    1    1    0
##  [72,]   25    1    0    1
##  [73,]   31    1    0    1
##  [74,]   38    6    0    2
##  [75,]   26    2    0    2
##  [76,]   31    1    0    1
##  [77,]   31    2    0    1
##  [78,]   25    1    1    0
##  [79,]   31    1    0    1
##  [80,]   34    1    0    1
##  [81,]   35    2    2    0
##  [82,]   29    1    0    1
##  [83,]   23    1    0    1
##  [84,]   26    6    2    0
##  [85,]   42    1    0    0
##  [86,]   39    6    2    0
##  [87,]   34    4    0    1
##  [88,]   35    3    2    0
##  [89,]   36    4    1    1
##  [90,]   23    1    0    0
##  [91,]   32    2    2    0
##  [92,]   21    1    0    1
##  [93,]   28    2    0    1
##  [94,]   29    2    0    0
##  [95,]   37    4    1    1
##  [96,]   31    1    0    0
##  [97,]   29    3    0    1
##  [98,]   31    2    1    0
##  [99,]   27    2    1    0
## [100,]   30    5    0    2
## [101,]   26    1    0    0
## [102,]   25    3    0    1
## [103,]   44    1    0    0
## [104,]   40    1    0    0
## [105,]   35    2    0    0
## [106,]   28    2    0    0
## [107,]   36    1    0    0
## [108,]   27    2    0    1
## [109,]   40    2    0    0
## [110,]   38    2    0    0
## [111,]   34    3    0    0
## [112,]   28    4    0    2
## [113,]   30    4    1    1
## [114,]   32    1    0    0
## [115,]   34    2    1    0
## [116,]   42    1    1    0
## [117,]   32    2    0    0
## [118,]   39    1    0    0
## [119,]   35    2    0    0
## [120,]   36    1    0    0
## [121,]   34    3    2    0
## [122,]   30    3    0    2
## [123,]   28    1    1    0
## [124,]   39    3    1    0
## [125,]   35    1    0    0
## [126,]   41    1    0    0
## [127,]   37    2    0    0
## [128,]   30    1    1    0
## [129,]   37    1    0    0
## [130,]   28    2    1    0
## [131,]   27    4    2    1
## [132,]   26    2    1    0
## [133,]   38    3    1    0
## [134,]   24    3    2    1
## [135,]   36    5    1    1
## [136,]   27    3    1    1
## [137,]   28    1    1    0
## [138,]   29    2    1    0
## [139,]   36    2    1    0
## [140,]   28    2    1    1
## [141,]   28    2    2    0
## [142,]   28    1    1    0
## [143,]   27    2    1    0
## [144,]   35    2    2    0
## [145,]   25    1    1    0
## [146,]   34    1    0    0
## [147,]   31    2    0    0
## [148,]   26    2    0    1
## [149,]   32    1    0    0
## [150,]   21    1    0    1
## [151,]   28    3    2    0
## [152,]   37    3    1    1
## [153,]   25    1    0    0
## [154,]   32    1    1    0
## [155,]   25    1    0    0
## [156,]   31    1    0    1
## [157,]   26    2    0    2
## [158,]   31    1    0    0
## [159,]   31    2    2    0
## [160,]   25    1    0    0
## [161,]   31    1    0    0
## [162,]   34    1    0    0
## [163,]   35    2    0    0
## [164,]   29    1    0    1
## [165,]   23    1    0    1
## [166,]   26    6    2    0
## [167,]   42    1    0    0
## [168,]   39    6    2    0
## [169,]   34    4    0    2
## [170,]   35    3    0    0
## [171,]   36    4    0    2
## [172,]   23    1    0    0
## [173,]   32    2    0    1
## [174,]   21    1    1    0
## [175,]   28    2    0    1
## [176,]   29    2    0    1
## [177,]   37    4    0    1
## [178,]   31    1    0    0
## [179,]   29    3    0    2
## [180,]   31    2    1    0
## [181,]   27    2    0    0
## [182,]   30    5    1    2
## [183,]   26    1    1    0
## [184,]   25    3    1    1
## [185,]   44    1    1    0
## [186,]   40    1    0    0
## [187,]   35    2    0    0
## [188,]   28    2    2    0
## [189,]   36    1    0    1
## [190,]   27    2    0    2
## [191,]   40    2    0    0
## [192,]   38    2    0    0
## [193,]   34    3    0    0
## [194,]   28    4    2    1
## [195,]   30    4    1    1
## [196,]   32    1    0    0
## [197,]   34    2    0    0
## [198,]   42    1    0    0
## [199,]   32    2    2    0
## [200,]   39    1    0    0
## [201,]   35    2    0    0
## [202,]   36    1    0    0
## [203,]   34    3    2    0
## [204,]   30    3    0    1
## [205,]   28    1    0    0
## [206,]   39    3    0    0
## [207,]   35    1    0    0
## [208,]   41    1    0    0
## [209,]   37    2    0    0
## [210,]   30    1    0    0
## [211,]   37    1    0    1
## [212,]   28    2    1    0
## [213,]   27    4    2    0
## [214,]   26    2    1    0
## [215,]   38    3    1    0
## [216,]   24    3    2    0
## [217,]   36    5    2    1
## [218,]   27    3    2    0
## [219,]   28    1    0    1
## [220,]   29    2    1    1
## [221,]   36    2    0    1
## [222,]   28    2    2    0
## [223,]   28    2    1    0
## [224,]   28    1    0    0
## [225,]   27    2    1    0
## [226,]   35    2    1    0
## [227,]   25    1    1    0
## [228,]   34    1    0    0
## [229,]   31    2    1    0
## [230,]   26    2    0    2
## [231,]   32    1    1    0
## [232,]   21    1    0    0
## [233,]   28    3    2    0
## [234,]   37    3    0    2
## [235,]   25    1    1    0
## [236,]   32    1    0    0
## [237,]   25    1    1    0
## [238,]   31    1    0    0
## [239,]   38    6    0    2
## [240,]   26    2    1    1
## [241,]   31    1    1    0
## [242,]   31    2    0    1
## [243,]   25    1    0    1
## [244,]   31    1    0    1
## [245,]   34    1    0    0
## [246,]   35    2    2    0
## [247,]   29    1    0    1
## [248,]   23    1    0    1
## 
## $model.list
## $model.list$response
## [1] "case"
## 
## $model.list$variables
## [1] "age"         "parity"      "induced"     "spontaneous"
## 
## 
## $err.fct
## function (x, y) 
## {
##     -(y * log(x) + (1 - y) * log(1 - x))
## }
## <bytecode: 0x5620e8c86200>
## <environment: 0x5620e9054558>
## attr(,"type")
## [1] "ce"
## 
## $act.fct
## function (x) 
## {
##     1/(1 + exp(-x))
## }
## <bytecode: 0x5620e8043460>
## <environment: 0x5620e9054558>
## attr(,"type")
## [1] "logistic"
## 
## $linear.output
## [1] FALSE
## 
## $data
##     education age parity induced case spontaneous stratum pooled.stratum
## 1      0-5yrs  26      6       1    1           2       1              3
## 2      0-5yrs  42      1       1    1           0       2              1
## 3      0-5yrs  39      6       2    1           0       3              4
## 4      0-5yrs  34      4       2    1           0       4              2
## 5     6-11yrs  35      3       1    1           1       5             32
## 6     6-11yrs  36      4       2    1           1       6             36
## 7     6-11yrs  23      1       0    1           0       7              6
## 8     6-11yrs  32      2       0    1           0       8             22
## 9     6-11yrs  21      1       0    1           1       9              5
## 10    6-11yrs  28      2       0    1           0      10             19
## 11    6-11yrs  29      2       1    1           0      11             20
## 12    6-11yrs  37      4       2    1           1      12             37
## 13    6-11yrs  31      1       1    1           0      13              9
## 14    6-11yrs  29      3       2    1           0      14             29
## 15    6-11yrs  31      2       1    1           1      15             21
## 16    6-11yrs  27      2       2    1           0      16             18
## 17    6-11yrs  30      5       2    1           1      17             38
## 18    6-11yrs  26      1       0    1           1      18              7
## 19    6-11yrs  25      3       2    1           1      19             28
## 20    6-11yrs  44      1       0    1           1      20             17
## 21    6-11yrs  40      1       0    1           1      21             14
## 22    6-11yrs  35      2       2    1           0      22             24
## 23    6-11yrs  28      2       0    1           2      23             19
## 24    6-11yrs  36      1       0    1           1      24             12
## 25    6-11yrs  27      2       1    1           1      25             18
## 26    6-11yrs  40      2       0    1           2      26             27
## 27    6-11yrs  38      2       0    1           2      27             26
## 28    6-11yrs  34      3       0    1           2      28             31
## 29    6-11yrs  28      4       1    1           2      29             34
## 30    6-11yrs  30      4       2    1           0      30             35
## 31    6-11yrs  32      1       0    1           1      31             10
## 32    6-11yrs  34      2       1    1           0      32             23
## 33    6-11yrs  42      1       1    1           0      33             16
## 34    6-11yrs  32      2       0    1           2      34             22
## 35    6-11yrs  39      1       1    1           0      35             13
## 36    6-11yrs  35      2       0    1           2      36             24
## 37    6-11yrs  36      1       0    1           1      37             12
## 38    6-11yrs  34      3       1    1           2      38             31
## 39    6-11yrs  30      3       0    1           0      39             30
## 40    6-11yrs  28      1       0    1           1      40              8
## 41    6-11yrs  39      3       0    1           2      41             33
## 42    6-11yrs  35      1       0    1           0      42             11
## 43    6-11yrs  41      1       0    1           0      43             15
## 44    6-11yrs  37      2       1    1           1      44             25
## 45    12+ yrs  30      1       0    1           0      45             44
## 46    12+ yrs  37      1       1    1           0      46             48
## 47    12+ yrs  28      2       0    1           2      47             51
## 48    12+ yrs  27      4       2    1           0      48             61
## 49    12+ yrs  26      2       2    1           0      49             49
## 50    12+ yrs  38      3       0    1           2      50             60
## 51    12+ yrs  24      3       1    1           2      51             56
## 52    12+ yrs  36      5       1    1           2      52             62
## 53    12+ yrs  27      3       1    1           1      53             57
## 54    12+ yrs  28      1       0    1           1      54             42
## 55    12+ yrs  29      2       0    1           2      55             52
## 56    12+ yrs  36      2       0    1           2      56             55
## 57    12+ yrs  28      2       1    1           0      57             51
## 58    12+ yrs  28      2       0    1           2      58             51
## 59    12+ yrs  28      1       0    1           1      59             42
## 60    12+ yrs  27      2       0    1           2      60             50
## 61    12+ yrs  35      2       0    1           2      61             54
## 62    12+ yrs  25      1       0    1           1      62             41
## 63    12+ yrs  34      1       0    1           1      63             47
## 64    12+ yrs  31      2       0    1           2      64             53
## 65    12+ yrs  26      2       1    1           0      65             49
## 66    12+ yrs  32      1       0    1           1      66             46
## 67    12+ yrs  21      1       0    1           1      67             39
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## 70    12+ yrs  25      1       1    1           0      70             41
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## 82    12+ yrs  29      1       0    1           1      82             43
## 83    12+ yrs  23      1       0    1           1      83             40
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## 85     0-5yrs  42      1       0    0           0       2              1
## 86     0-5yrs  39      6       2    0           0       3              4
## 87     0-5yrs  34      4       0    0           1       4              2
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## 90    6-11yrs  23      1       0    0           0       7              6
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## 92    6-11yrs  21      1       0    0           1       9              5
## 93    6-11yrs  28      2       0    0           1      10             19
## 94    6-11yrs  29      2       0    0           0      11             20
## 95    6-11yrs  37      4       1    0           1      12             37
## 96    6-11yrs  31      1       0    0           0      13              9
## 97    6-11yrs  29      3       0    0           1      14             29
## 98    6-11yrs  31      2       1    0           0      15             21
## 99    6-11yrs  27      2       1    0           0      16             18
## 100   6-11yrs  30      5       0    0           2      17             38
## 101   6-11yrs  26      1       0    0           0      18              7
## 102   6-11yrs  25      3       0    0           1      19             28
## 103   6-11yrs  44      1       0    0           0      20             17
## 104   6-11yrs  40      1       0    0           0      21             14
## 105   6-11yrs  35      2       0    0           0      22             24
## 106   6-11yrs  28      2       0    0           0      23             19
## 107   6-11yrs  36      1       0    0           0      24             12
## 108   6-11yrs  27      2       0    0           1      25             18
## 109   6-11yrs  40      2       0    0           0      26             27
## 110   6-11yrs  38      2       0    0           0      27             26
## 111   6-11yrs  34      3       0    0           0      28             31
## 112   6-11yrs  28      4       0    0           2      29             34
## 113   6-11yrs  30      4       1    0           1      30             35
## 114   6-11yrs  32      1       0    0           0      31             10
## 115   6-11yrs  34      2       1    0           0      32             23
## 116   6-11yrs  42      1       1    0           0      33             16
## 117   6-11yrs  32      2       0    0           0      34             22
## 118   6-11yrs  39      1       0    0           0      35             13
## 119   6-11yrs  35      2       0    0           0      36             24
## 120   6-11yrs  36      1       0    0           0      37             12
## 121   6-11yrs  34      3       2    0           0      38             31
## 122   6-11yrs  30      3       0    0           2      39             30
## 123   6-11yrs  28      1       1    0           0      40              8
## 124   6-11yrs  39      3       1    0           0      41             33
## 125   6-11yrs  35      1       0    0           0      42             11
## 126   6-11yrs  41      1       0    0           0      43             15
## 127   6-11yrs  37      2       0    0           0      44             25
## 128   12+ yrs  30      1       1    0           0      45             44
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## 130   12+ yrs  28      2       1    0           0      47             51
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## 132   12+ yrs  26      2       1    0           0      49             49
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## 137   12+ yrs  28      1       1    0           0      54             42
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## 139   12+ yrs  36      2       1    0           0      56             55
## 140   12+ yrs  28      2       1    0           1      57             51
## 141   12+ yrs  28      2       2    0           0      58             51
## 142   12+ yrs  28      1       1    0           0      59             42
## 143   12+ yrs  27      2       1    0           0      60             50
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## 145   12+ yrs  25      1       1    0           0      62             41
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## 168    0-5yrs  39      6       2    0           0       3              4
## 169    0-5yrs  34      4       0    0           2       4              2
## 170   6-11yrs  35      3       0    0           0       5             32
## 171   6-11yrs  36      4       0    0           2       6             36
## 172   6-11yrs  23      1       0    0           0       7              6
## 173   6-11yrs  32      2       0    0           1       8             22
## 174   6-11yrs  21      1       1    0           0       9              5
## 175   6-11yrs  28      2       0    0           1      10             19
## 176   6-11yrs  29      2       0    0           1      11             20
## 177   6-11yrs  37      4       0    0           1      12             37
## 178   6-11yrs  31      1       0    0           0      13              9
## 179   6-11yrs  29      3       0    0           2      14             29
## 180   6-11yrs  31      2       1    0           0      15             21
## 181   6-11yrs  27      2       0    0           0      16             18
## 182   6-11yrs  30      5       1    0           2      17             38
## 183   6-11yrs  26      1       1    0           0      18              7
## 184   6-11yrs  25      3       1    0           1      19             28
## 185   6-11yrs  44      1       1    0           0      20             17
## 186   6-11yrs  40      1       0    0           0      21             14
## 187   6-11yrs  35      2       0    0           0      22             24
## 188   6-11yrs  28      2       2    0           0      23             19
## 189   6-11yrs  36      1       0    0           1      24             12
## 190   6-11yrs  27      2       0    0           2      25             18
## 191   6-11yrs  40      2       0    0           0      26             27
## 192   6-11yrs  38      2       0    0           0      27             26
## 193   6-11yrs  34      3       0    0           0      28             31
## 194   6-11yrs  28      4       2    0           1      29             34
## 195   6-11yrs  30      4       1    0           1      30             35
## 196   6-11yrs  32      1       0    0           0      31             10
## 197   6-11yrs  34      2       0    0           0      32             23
## 198   6-11yrs  42      1       0    0           0      33             16
## 199   6-11yrs  32      2       2    0           0      34             22
## 200   6-11yrs  39      1       0    0           0      35             13
## 201   6-11yrs  35      2       0    0           0      36             24
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## 203   6-11yrs  34      3       2    0           0      38             31
## 204   6-11yrs  30      3       0    0           1      39             30
## 205   6-11yrs  28      1       0    0           0      40              8
## 206   6-11yrs  39      3       0    0           0      41             33
## 207   6-11yrs  35      1       0    0           0      42             11
## 208   6-11yrs  41      1       0    0           0      43             15
## 209   6-11yrs  37      2       0    0           0      44             25
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## 212   12+ yrs  28      2       1    0           0      47             51
## 213   12+ yrs  27      4       2    0           0      48             61
## 214   12+ yrs  26      2       1    0           0      49             49
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## 217   12+ yrs  36      5       2    0           1      52             62
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## 219   12+ yrs  28      1       0    0           1      54             42
## 220   12+ yrs  29      2       1    0           1      55             52
## 221   12+ yrs  36      2       0    0           1      56             55
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## 227   12+ yrs  25      1       1    0           0      62             41
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## 247   12+ yrs  29      1       0    0           1      82             43
## 248   12+ yrs  23      1       0    0           1      83             40
## 
## $net.result
## $net.result[[1]]
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## 
## 
## $weights
## $weights[[1]]
## $weights[[1]][[1]]
##               [,1]          [,2]
## [1,] -0.5620834232 -1.1249841659
## [2,]  1.2002016808 -0.5145805397
## [3,] -0.8996562382  0.4320663037
## [4,]  0.1656685075  1.1372161512
## [5,]  0.3592325319  1.1785634915
## 
## $weights[[1]][[2]]
##               [,1]
## [1,] -0.3098345365
## [2,] -0.3771426096
## [3,]  0.3709635180
## 
## 
## 
## $startweights
## $startweights[[1]]
## $startweights[[1]][[1]]
##               [,1]           [,2]
## [1,] -0.5620834232 -1.09183028296
## [2,]  1.2002016804 -0.06081017748
## [3,] -0.8996562382  0.44883837653
## [4,]  0.1656685075  1.17831179540
## [5,]  0.3592325319 -0.20498151639
## 
## $startweights[[1]][[2]]
##               [,1]
## [1,] -0.3952192897
## [2,] -0.4625273629
## [3,]  0.2056328372
## 
## 
## 
## $generalized.weights
## $generalized.weights[[1]]
##                        [,1]                   [,2]                   [,3]
## 1   -0.00004216863329167564 0.00003540679061912835 0.00009319211416470560
## 2   -0.00000000012234953459 0.00000000010273049036 0.00000000027039084478
## 3   -0.00000001549342646071 0.00000001300901799942 0.00000003424026649055
## 4   -0.00000008555720285674 0.00000007183789814127 0.00000018908028081655
## 5   -0.00000003460112590931 0.00000002905275155860 0.00000007646802823200
## 6   -0.00000009934388919085 0.00000008341385592747 0.00000021954867431870
## 7   -0.00000069155069761727 0.00000058065868763728 0.00000152831314054471
## 8   -0.00000001037897534276 0.00000000871468149745 0.00000002293739728135
## 9   -0.00000628928039469039 0.00000528077765935844 0.00001389918981311240
## 10  -0.00000008129656086263 0.00000006826045931582 0.00000017966429010016
## 11  -0.00000015152315637041 0.00000012722605094511 0.00000033486415373791
## 12  -0.00000005938296128864 0.00000004986075960809 0.00000013123555494183
## 13  -0.00000003514605150275 0.00000002951029700416 0.00000007767230631264
## 14  -0.00000072779168933270 0.00000061108852849652 0.00000160840994197747
## 15  -0.00000017593957241374 0.00000014772723579674 0.00000038882411541733
## 16  -0.00000132226760775429 0.00000111023879141785 0.00000292219376493698
## 17  -0.00000335465058327855 0.00000281672423584395 0.00000741373316907227
## 18  -0.00000047998638252794 0.00000040301940002276 0.00000106076343421227
## 19  -0.00001852199225276198 0.00001555194588128928 0.00004093335533223694
## 20  -0.00000000004556173628 0.00000000003825580151 0.00000000010069083143
## 21  -0.00000000035687672109 0.00000000029965067443 0.00000000078869280887
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## 
## 
## $result.matrix
##                                        1
## error                   158.085469457874
## reached.threshold         0.007186944541
## steps                   388.000000000000
## Intercept.to.1layhid1    -0.562083423225
## age.to.1layhid1           1.200201680839
## parity.to.1layhid1       -0.899656238196
## induced.to.1layhid1       0.165668507548
## spontaneous.to.1layhid1   0.359232531850
## Intercept.to.1layhid2    -1.124984165883
## age.to.1layhid2          -0.514580539665
## parity.to.1layhid2        0.432066303708
## induced.to.1layhid2       1.137216151228
## spontaneous.to.1layhid2   1.178563491494
## Intercept.to.case        -0.309834536465
## 1layhid.1.to.case        -0.377142609626
## 1layhid.2.to.case         0.370963517954
## 
## attr(,"class")
## [1] "nn"
garson(nn.bp)

library(nnet)

nn.nnet <- nnet(case~age+parity+induced+spontaneous, data=infert, size=2, entropy=T, abstol=0.01)
## # weights:  13
## initial  value 169.339098 
## iter  10 value 153.736634
## iter  20 value 128.291281
## iter  30 value 125.380948
## iter  40 value 125.231013
## iter  50 value 125.204169
## final  value 125.202435 
## converged
nn.nnet
## a 4-2-1 network with 13 weights
## inputs: age parity induced spontaneous 
## output(s): case 
## options were - entropy fitting
garson(nn.nnet)

 head(nn$generalized.weights[[1]])
##              [,1]            [,2]           [,3]          [,4]
## 1 0.0092454088648 -0.136181222770 0.170777746382 0.26017873326
## 2 0.1534442172832 -2.260172745432 2.834364386285 4.31813483458
## 3 0.0005411800285 -0.007971368164 0.009996475741 0.01522956297
## 4 0.0088875444029 -0.130910020520 0.164167407434 0.25010792690
## 5 0.1062680593893 -1.565286563380 1.962943982287 2.99053178528
## 6 0.1374960760665 -2.025262921155 2.539776266300 3.86933184054
plot(nn)
par(mfrow=c(2,2))
gwplot(nn,selected.covariate="age",min=-2.5, max=5)
gwplot(nn,selected.covariate="parity",min=-2.5, max=5)
gwplot(nn,selected.covariate="induced",min=-2.5, max=5)
gwplot(nn,selected.covariate="spontaneous",min=-2.5, max=5)

test.data <- matrix(c(22,1,0,0,
                      22,1,1,0,
                      22,1,0,1,
                      22,1,1,1),byrow=TRUE, ncol=4)

new.output <- compute(nn,covariate=test.data)

new.output$net.result
##              [,1]
## [1,] 0.1503993589
## [2,] 0.1952761481
## [3,] 0.3087220985
## [4,] 0.8525129684
nn.new <- neuralnet(case~parity+induced+spontaneous, data=infert, hidden=2, err.fct="ce", linear.output=FALSE)

plot(nn.new)
garson(nn.new)


ci <- confidence.interval(nn.new, alpha=0.05)
ci$lower.ci
## [[1]]
## [[1]][[1]]
##              [,1]           [,2]
## [1,] -27.06593046  -0.1176675052
## [2,] -14.79000715   1.3545379273
## [3,] -26.69196681  -7.6077146309
## [4,] -12.44181564 -40.6553380228
## 
## [[1]][[2]]
##               [,1]
## [1,] -0.1793767717
## [2,]  0.8695283365
## [3,] -3.8197612502