Neural network
Mano R
Neural Net Project
We’ll use the Bank Authentication Data Set from the UCI repository.
The data consists of 5 columns:
variance of Wavelet Transformed image (continuous) skewness of Wavelet Transformed image (continuous) curtosis of Wavelet Transformed image (continuous) entropy of image (continuous) class (integer)
df<-read.csv('bank_note_data.csv')Head of the dataframe
head(df)## Image.Var Image.Skew Image.Curt Entropy Class
## 1 3.62160 8.6661 -2.8073 -0.44699 0
## 2 4.54590 8.1674 -2.4586 -1.46210 0
## 3 3.86600 -2.6383 1.9242 0.10645 0
## 4 3.45660 9.5228 -4.0112 -3.59440 0
## 5 0.32924 -4.4552 4.5718 -0.98880 0
## 6 4.36840 9.6718 -3.9606 -3.16250 0Summary of the dataframe
summary(df)## Image.Var Image.Skew Image.Curt Entropy
## Min. :-7.0421 Min. :-13.773 Min. :-5.2861 Min. :-8.5482
## 1st Qu.:-1.7730 1st Qu.: -1.708 1st Qu.:-1.5750 1st Qu.:-2.4135
## Median : 0.4962 Median : 2.320 Median : 0.6166 Median :-0.5867
## Mean : 0.4337 Mean : 1.922 Mean : 1.3976 Mean :-1.1917
## 3rd Qu.: 2.8215 3rd Qu.: 6.815 3rd Qu.: 3.1793 3rd Qu.: 0.3948
## Max. : 6.8248 Max. : 12.952 Max. :17.9274 Max. : 2.4495
## Class
## Min. :0.0000
## 1st Qu.:0.0000
## Median :0.0000
## Mean :0.4446
## 3rd Qu.:1.0000
## Max. :1.0000Strucutre of dataframe
str(df)## 'data.frame': 1372 obs. of 5 variables:
## $ Image.Var : num 3.622 4.546 3.866 3.457 0.329 ...
## $ Image.Skew: num 8.67 8.17 -2.64 9.52 -4.46 ...
## $ Image.Curt: num -2.81 -2.46 1.92 -4.01 4.57 ...
## $ Entropy : num -0.447 -1.462 0.106 -3.594 -0.989 ...
## $ Class : int 0 0 0 0 0 0 0 0 0 0 ...EDA Plotting with GGplot
library(ggplot2)
ggplot(df,aes(Image.Var,Image.Skew))+geom_point()+theme_bw()
Train and test data
library(caTools)
set.seed(101)
sample <- sample.split(df$Class,SplitRatio = 0.7)
train <- subset(df,sample == T)
test <- subset(df,sample == F)Buliding the neural net
library(neuralnet)
neural <- neuralnet(Class ~ Image.Var+Image.Skew+Image.Curt+Entropy,hidden = 10,linear.output = F,data=train)Plotting the neural net
plot(neural ,rep = 'best')
Prediction
predicted.neuralnet <- compute(neural,test[,1:4])Netresult value
predicted.neuralnet$net.result## [,1]
## 3 1.599481e-05
## 11 3.713852e-05
## 12 6.944038e-06
## 13 1.799146e-06
## 14 3.469965e-06
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## 36 2.365725e-06
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## 1372 9.999559e-01head(predicted.neuralnet$net.result)## [,1]
## 3 1.599481e-05
## 11 3.713852e-05
## 12 6.944038e-06
## 13 1.799146e-06
## 14 3.469965e-06
## 17 2.957117e-06head(predicted.neuralnet$neurons)## [[1]]
## Image.Var Image.Skew Image.Curt Entropy
## 3 1 3.8660000 -2.63830e+00 1.924200 0.1064500
## 11 1 1.2247000 8.77790e+00 -2.213500 -0.8064700
## 12 1 3.9899000 -2.70660e+00 2.394600 0.8629100
## 13 1 1.8993000 7.66250e+00 0.153940 -3.1108000
## 14 1 -1.5768000 1.08430e+01 2.546200 -2.9362000
## 17 1 2.6719000 3.06460e+00 0.371580 0.5861900
## 21 1 5.7867000 7.89020e+00 -2.619600 -0.4870800
## 22 1 0.3292000 -4.45520e+00 4.571800 -0.9888000
## 25 1 4.4338000 9.88700e+00 -4.679500 -3.7483000
## 26 1 0.7057000 -5.49810e+00 8.336800 -2.8715000
## 36 1 2.4391000 6.44170e+00 -0.807430 -0.6913900
## 38 1 3.6289000 8.13220e-01 1.627700 0.7762700
## 40 1 3.4805000 9.70080e+00 -3.754100 -3.4379000
## 43 1 -0.0068919 9.29310e+00 -0.412430 -1.9638000
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## 242 1 -1.3931000 1.56640e+00 7.538200 0.7840300
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## 257 1 3.0934000 -2.91770e+00 2.223200 0.2228300
## 258 1 2.2034000 5.99470e+00 0.530090 0.8499800
## 266 1 1.5940000 4.70550e+00 1.375800 0.0818820
## 269 1 0.9297000 -3.79710e+00 4.642900 -0.2957000
## 270 1 4.9342000 2.41070e+00 -0.175940 1.6245000
## 273 1 4.4072000 -7.03650e-02 2.041600 1.1319000
## 275 1 5.2756000 1.38630e-01 0.121380 1.1435000
## 277 1 4.0520000 -1.65550e-01 0.453830 0.5124800
## 288 1 0.8960600 1.05471e+01 -1.417500 -4.0327000
## 289 1 0.4412500 2.94870e+00 4.322500 0.7155000
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## 312 1 5.0297000 -4.97040e+00 3.502500 -0.2375100
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## 316 1 0.3292000 -4.45520e+00 4.571800 -0.9888000
## 326 1 4.4549000 2.49760e+00 1.031300 0.9689400
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## 332 1 2.0421000 1.24360e+00 4.217100 0.9042900
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## 351 1 -1.2528000 1.02036e+01 2.178700 -5.6038000
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## 361 1 2.7161000 -4.20060e+00 4.191400 0.1698100
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## 411 1 1.9410000 4.63510e-01 4.647200 1.0879000
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## 421 1 -2.4840000 1.21611e+01 2.820400 -3.7418000
## 422 1 -1.1497000 1.29540e+00 7.701000 0.6262700
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## 428 1 -1.3000000 1.02678e+01 -2.953000 -5.8638000
## 429 1 3.4246000 -1.46930e-01 0.803420 0.2913600
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## 431 1 1.5691000 6.34650e+00 -0.182800 -2.4099000
## 432 1 1.3087000 4.92280e+00 2.001300 0.2202400
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## 439 1 4.0524000 5.68020e+00 -1.969300 0.0262790
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## 497 1 3.3756000 -4.09510e+00 4.367000 1.0698000
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## 515 1 2.0153000 1.84790e+00 3.137500 0.4284300
## 516 1 5.8782000 5.94090e+00 -2.854400 -0.6086300
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## 525 1 0.3311100 4.57310e+00 2.057000 -0.1896700
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## 541 1 3.9772000 3.35210e-01 2.256600 2.1625000
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## 548 1 3.4647000 -3.91720e+00 3.974600 0.3611900
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## 560 1 2.0165000 -2.52460e-01 5.170700 1.0763000
## 562 1 -0.3372900 -6.49760e-01 7.665900 0.7232600
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## 567 1 2.6415000 7.58600e+00 -0.285620 -1.6677000
## 569 1 4.3435000 3.32950e+00 0.835980 0.6495500
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## 575 1 1.1676000 9.15660e+00 -2.086700 -0.8064700
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## 591 1 4.6352000 -3.00870e+00 2.677300 1.2120000
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## 626 1 4.0948000 -2.96740e+00 2.368900 0.7542900
## 627 1 1.8384000 6.06300e+00 0.547230 0.5124800
## 629 1 3.5251000 7.20100e-01 1.692800 0.6443800
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## 639 1 2.7213000 7.05000e+00 -0.588080 0.4180900
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## 644 1 0.3825100 6.81210e+00 1.812800 -0.6125100
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## 699 1 3.2403000 -3.70820e+00 5.280400 0.4129100
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## 715 1 2.5559000 3.36050e+00 2.032100 0.2680900
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## 768 1 -2.2804000 -3.06260e-01 1.334700 1.3763000
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## 1031 1 -1.8439000 -8.64750e+00 7.679600 -0.6668200
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## 1079 1 -0.3701300 -5.55400e+00 4.774900 1.5470000
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## 1091 1 -1.4628000 -1.57060e+00 2.435700 0.4982600
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## 1113 1 -4.1429000 2.77490e+00 0.682610 -0.7198400
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## 1125 1 -1.7589000 -6.46240e+00 8.477300 0.3198100
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## 1139 1 -2.5961000 -9.34900e+00 9.794200 -0.2801800
## 1140 1 -1.5228000 -6.47890e+00 5.756800 0.8732500
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## 1149 1 -0.2665400 -6.45620e-01 -0.420140 0.8913600
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## 1172 1 -3.8552000 3.52190e+00 -0.384150 -3.8608000
## 1175 1 -3.2051000 -1.42790e-01 0.975650 0.0456750
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## 1194 1 -3.7573000 -8.29160e+00 10.303200 0.3805900
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## 1197 1 -2.0149000 3.68740e+00 -1.938500 -3.8918000
## 1199 1 -1.7886000 -6.34860e+00 5.615400 0.4258400
## 1200 1 -2.9138000 -9.47110e+00 9.766800 -0.6021600
## 1202 1 -0.8734000 -3.31180e-02 -0.201650 0.5577400
## 1204 1 -6.7387000 6.98790e+00 0.678330 -7.5887000
## 1208 1 -3.7930000 -1.27095e+01 12.795700 -2.8250000
## 1215 1 -2.9662000 -1.03257e+01 8.784000 -2.1138000
## 1218 1 0.6165200 3.89440e+00 -4.727500 -4.3948000
## 1219 1 -5.4414000 7.23630e+00 0.109380 -7.5642000
## 1220 1 -3.5798000 4.59370e-01 2.345700 -0.4573400
## 1231 1 0.6212000 3.67710e+00 -4.077100 -2.0711000
## 1237 1 -2.0662000 1.69670e-01 -1.005400 -0.8297500
## 1240 1 -2.4458000 1.62850e+00 -0.885410 -1.4802000
## 1242 1 -2.2811000 -8.56690e-01 2.718500 0.0443820
## 1245 1 -3.9204000 4.07230e+00 -0.236780 -2.1151000
## 1246 1 -1.1306000 1.84580e+00 -1.357500 -1.3806000
## 1250 1 -3.3800000 -7.07700e-01 2.532500 0.7180800
## 1256 1 -2.5084000 -2.27630e-01 1.488000 1.2069000
## 1260 1 -1.8387000 -6.30100e+00 5.650600 0.1956700
## 1262 1 -1.9116000 -6.16030e+00 5.606000 0.4853300
## 1271 1 -0.7432400 -3.29020e-01 -0.427850 0.2331700
## 1272 1 -0.0715030 3.74120e+00 -4.541500 -4.2526000
## 1274 1 -2.3675000 -4.36630e-01 1.692000 -0.4301800
## 1276 1 -3.0986000 -1.04602e+01 8.971700 -2.3427000
## 1283 1 -1.9983000 -6.60720e+00 4.825400 -0.4198400
## 1289 1 -2.6590000 -1.60580e+00 1.364700 0.1646400
## 1292 1 0.5237400 3.64400e+00 -4.074600 -1.9909000
## 1298 1 -2.1674000 1.24150e-01 -1.046500 -0.8620800
## 1300 1 -1.0802000 2.19960e+00 -2.586200 -1.2759000
## 1304 1 -3.9297000 -6.08160e+00 10.095800 -1.0147000
## 1306 1 -3.8953000 4.03920e+00 -0.301900 -2.1836000
## 1308 1 -2.6406000 -4.41590e+00 5.983000 -0.1392400
## 1316 1 -2.9498000 -8.27300e+00 10.264600 1.1629000
## 1320 1 0.6636500 -4.55330e-02 -0.187940 0.2344700
## 1323 1 -0.9732500 -6.41680e+00 5.602600 1.0323000
## 1326 1 -5.5250000 6.32580e+00 0.897680 -6.6241000
## 1329 1 -1.3968000 -9.66980e+00 9.465200 -0.3487200
## 1330 1 -2.9672000 -1.32869e+01 13.472700 -2.6271000
## 1332 1 0.2243200 -5.21470e-01 -0.403860 1.2017000
## 1334 1 -2.8619000 4.51930e+00 -0.581230 -4.2629000
## 1335 1 -1.0833000 -3.12470e-01 1.281500 0.4129100
## 1337 1 -2.0545000 -1.08679e+01 9.492600 -1.4116000
## 1338 1 0.2346000 -4.51520e+00 2.119500 1.4448000
## 1340 1 1.5514000 3.80130e+00 -4.914300 -3.7483000
## 1342 1 -2.2625000 -9.93350e-02 2.812700 0.4866200
## 1345 1 1.3451000 2.35890e-01 -1.878500 1.3258000
## 1347 1 1.2572000 4.87310e+00 -5.286100 -5.8741000
## 1348 1 -5.3857000 9.12140e+00 -0.419290 -5.9181000
## 1354 1 0.1159200 3.22190e+00 -3.430200 -2.8457000
## 1356 1 -6.1632000 8.70960e+00 -0.216210 -3.6345000
## 1358 1 -2.5899000 -3.91100e-01 0.934520 0.4297200
## 1360 1 0.0661290 2.49140e+00 -2.940100 -0.6215600
## 1361 1 -0.2474500 1.93680e+00 -2.469700 -0.8051800
## 1362 1 -1.5732000 1.06360e+00 -0.712320 -0.8388000
## 1364 1 -1.1667000 -1.42370e+00 2.924100 0.6611900
## 1365 1 -2.8391000 -6.63000e+00 10.484900 -0.4211300
## 1366 1 -4.5046000 -5.81260e+00 10.886700 -0.5284600
## 1370 1 -3.7503000 -1.34586e+01 17.593200 -2.7771000
## 1372 1 -2.5419000 -6.58040e-01 2.684200 1.1952000
##
## [[2]]
## [,1] [,2] [,3] [,4] [,5] [,6]
## 3 1 0.999017838 9.999944e-01 0.71789297 0.207286996 9.999775e-01
## 11 1 0.996820505 9.999066e-01 0.94362143 0.022383239 9.997457e-01
## 12 1 0.999665965 9.999923e-01 0.78338543 0.136244457 9.999761e-01
## 13 1 0.999969056 9.999979e-01 0.98159523 0.007538888 9.999938e-01
## 14 1 0.999996324 9.867968e-01 0.98969715 0.003118213 9.937218e-01
## 17 1 0.999487892 9.999643e-01 0.90859700 0.040326919 9.999135e-01
## 21 1 0.999991120 1.000000e+00 0.99562523 0.001095066 1.000000e+00
## 22 1 0.988483845 9.199090e-01 0.24172595 0.771200216 9.041432e-01
## 25 1 0.999294623 1.000000e+00 0.98559913 0.006257066 1.000000e+00
## 26 1 0.999989145 9.942217e-01 0.65881611 0.326799036 9.955448e-01
## 36 1 0.999727698 9.999932e-01 0.96234479 0.014375771 9.999796e-01
## 38 1 0.999917302 9.999943e-01 0.92383109 0.033346338 9.999854e-01
## 40 1 0.999339024 1.000000e+00 0.98157808 0.007953633 9.999999e-01
## 43 1 0.999570223 9.991963e-01 0.96069047 0.015525409 9.988051e-01
## 48 1 0.493241925 9.999410e-01 0.65290021 0.388898049 9.994170e-01
## 49 1 0.999111195 9.999999e-01 0.95923827 0.016654891 9.999991e-01
## 54 1 0.999384898 9.999966e-01 0.94971891 0.022040284 9.999864e-01
## 56 1 0.999988824 9.999997e-01 0.96710063 0.011576377 9.999992e-01
## 61 1 0.999998801 9.999829e-01 0.96844849 0.012232851 9.999793e-01
## 62 1 0.999897073 9.974804e-01 0.94410672 0.021957158 9.975951e-01
## 64 1 0.985955508 9.990932e-01 0.50625809 0.428528302 9.977209e-01
## 65 1 0.999893934 1.000000e+00 0.96955891 0.009897283 9.999998e-01
## 66 1 0.999965651 9.999615e-01 0.94887888 0.020273280 9.999367e-01
## 69 1 0.999715098 9.999590e-01 0.95914815 0.018559850 9.998994e-01
## 70 1 0.998669003 9.995770e-01 0.94293670 0.026220907 9.991462e-01
## 72 1 0.999861925 9.999960e-01 0.91847728 0.033061226 9.999888e-01
## 74 1 0.999955560 9.999932e-01 0.85003397 0.083286137 9.999840e-01
## 75 1 0.999779103 1.000000e+00 0.99180033 0.003345661 1.000000e+00
## 80 1 0.999993179 9.978895e-01 0.96825423 0.009801584 9.986825e-01
## 82 1 0.999982338 9.999997e-01 0.97143648 0.009779938 9.999989e-01
## 83 1 0.999970226 1.000000e+00 0.99358264 0.001842006 1.000000e+00
## 84 1 0.999936894 9.999974e-01 0.97799842 0.009200530 9.999918e-01
## 86 1 0.999966401 9.999991e-01 0.96532908 0.012342916 9.999973e-01
## 92 1 0.999984827 9.999996e-01 0.97783611 0.007275981 9.999987e-01
## 93 1 0.999894266 1.000000e+00 0.98781738 0.004025008 9.999999e-01
## 96 1 0.999959087 8.101839e-01 0.54346007 0.447401450 8.968907e-01
## 104 1 0.999707273 9.999669e-01 0.65620602 0.280984087 9.999144e-01
## 105 1 0.999787451 9.999983e-01 0.90181213 0.046259610 9.999938e-01
## 109 1 0.996110099 1.000000e+00 0.96471664 0.018624158 9.999997e-01
## 110 1 0.999753865 1.000000e+00 0.98776955 0.005031929 9.999998e-01
## 114 1 0.999975722 9.999999e-01 0.98922746 0.002759647 9.999995e-01
## 115 1 0.998715030 9.999826e-01 0.93825926 0.028556214 9.999412e-01
## 116 1 0.992060287 9.999674e-01 0.80229276 0.118354968 9.998744e-01
## 117 1 0.999932665 9.999998e-01 0.98630338 0.003891032 9.999993e-01
## 126 1 0.999888266 9.999973e-01 0.97937961 0.006142014 9.999923e-01
## 138 1 0.999976770 1.000000e+00 0.99347438 0.001840471 1.000000e+00
## 141 1 0.999997117 9.994595e-01 0.95881310 0.013983462 9.996206e-01
## 143 1 0.998878123 9.999995e-01 0.92428345 0.032973365 9.999972e-01
## 145 1 0.999716195 1.000000e+00 0.98789157 0.005226581 1.000000e+00
## 154 1 0.999580161 1.000000e+00 0.98797165 0.005564956 1.000000e+00
## 158 1 0.999598535 9.999942e-01 0.71591309 0.214269470 9.999794e-01
## 160 1 0.999956201 9.993109e-01 0.95177780 0.017505259 9.992977e-01
## 161 1 0.999847907 1.000000e+00 0.96917113 0.010624260 9.999997e-01
## 163 1 0.999644721 9.998524e-01 0.94665207 0.028504106 9.996803e-01
## 166 1 0.999709264 9.999971e-01 0.77072640 0.158338498 9.999891e-01
## 168 1 0.980491533 9.999412e-01 0.84525539 0.101175329 9.997423e-01
## 172 1 0.999707846 9.999932e-01 0.80359006 0.117421877 9.999790e-01
## 174 1 0.999995044 9.996695e-01 0.98871983 0.004798365 9.996448e-01
## 175 1 0.999947410 9.996966e-01 0.93151137 0.028201407 9.996283e-01
## 176 1 0.999747726 9.999860e-01 0.72313931 0.207994144 9.999597e-01
## 177 1 0.787693074 9.999809e-01 0.76895162 0.215029597 9.998281e-01
## 178 1 0.999544168 9.999996e-01 0.96120585 0.014884697 9.999978e-01
## 179 1 0.999998985 7.704683e-01 0.89956531 0.046265873 9.376967e-01
## 181 1 0.996028250 9.996343e-01 0.80409744 0.114270586 9.991580e-01
## 182 1 0.999998514 8.382791e-01 0.89310547 0.052068161 9.524481e-01
## 195 1 0.999883615 9.988446e-01 0.97375611 0.015667191 9.982546e-01
## 198 1 0.999878825 9.999903e-01 0.96144005 0.016969800 9.999737e-01
## 205 1 0.999926035 9.996734e-01 0.97073464 0.010121952 9.995794e-01
## 207 1 0.999541012 1.000000e+00 0.97050250 0.011590603 1.000000e+00
## 209 1 0.999920938 9.999961e-01 0.97766263 0.008354627 9.999887e-01
## 212 1 0.998897139 1.000000e+00 0.98034832 0.010156779 1.000000e+00
## 219 1 0.999875124 9.995365e-01 0.95442822 0.022881952 9.992963e-01
## 227 1 0.937527590 9.843910e-01 0.38828173 0.567470858 9.699630e-01
## 229 1 0.994449683 9.999629e-01 0.52619880 0.425738783 9.998558e-01
## 230 1 0.999959643 9.999999e-01 0.96712831 0.010737572 9.999997e-01
## 239 1 0.999900726 9.999955e-01 0.92986484 0.027446131 9.999883e-01
## 242 1 0.999998609 1.653892e-01 0.93439311 0.023504538 5.934526e-01
## 254 1 0.999829139 1.000000e+00 0.96511462 0.012173955 9.999998e-01
## 257 1 0.997419389 9.999377e-01 0.59791097 0.326530360 9.998091e-01
## 258 1 0.999956324 9.999427e-01 0.97473420 0.007393897 9.999152e-01
## 266 1 0.999917066 9.997503e-01 0.95100361 0.018332794 9.996651e-01
## 269 1 0.998086998 9.779743e-01 0.42998761 0.525791993 9.753838e-01
## 270 1 0.999933237 9.999998e-01 0.96470502 0.011767563 9.999992e-01
## 273 1 0.999975889 9.999989e-01 0.94434061 0.022417466 9.999969e-01
## 275 1 0.999795108 9.999999e-01 0.92216061 0.034921235 9.999994e-01
## 277 1 0.998893110 9.999979e-01 0.82992412 0.099049982 9.999904e-01
## 288 1 0.999792220 9.999938e-01 0.97977316 0.008698793 9.999791e-01
## 289 1 0.999990455 9.816741e-01 0.94733991 0.018569302 9.914582e-01
## 292 1 0.999506997 9.991753e-01 0.95735850 0.029318888 9.983405e-01
## 294 1 0.999994150 9.997159e-01 0.93172438 0.031604806 9.997278e-01
## 298 1 0.999881154 9.999738e-01 0.97221887 0.010990830 9.999408e-01
## 307 1 0.918473950 9.999660e-01 0.83205174 0.131807458 9.997769e-01
## 312 1 0.999934718 9.999997e-01 0.80293050 0.141919055 9.999986e-01
## 315 1 0.996282958 9.998890e-01 0.93452831 0.027425845 9.996966e-01
## 316 1 0.988483845 9.199090e-01 0.24172595 0.771200216 9.041432e-01
## 326 1 0.999987328 9.999996e-01 0.97532878 0.008011362 9.999989e-01
## 328 1 0.997405220 1.000000e+00 0.97434981 0.014951857 1.000000e+00
## 331 1 0.999800381 9.980445e-01 0.88083498 0.059222832 9.978091e-01
## 332 1 0.999995491 9.995765e-01 0.95567827 0.015794453 9.996641e-01
## 338 1 0.999997971 9.953095e-01 0.96538947 0.011169879 9.978179e-01
## 342 1 0.999882424 9.998811e-01 0.97579701 0.013681069 9.997433e-01
## 345 1 0.999947515 9.999996e-01 0.98532153 0.004181025 9.999984e-01
## 346 1 0.692361558 7.411938e-01 0.59126295 0.314434598 6.569046e-01
## 347 1 0.999950550 9.999981e-01 0.93563536 0.027068693 9.999946e-01
## 351 1 0.999991192 9.993879e-01 0.98435520 0.007140214 9.993527e-01
## 357 1 0.998278959 9.999989e-01 0.96871992 0.011408269 9.999943e-01
## 361 1 0.999641992 9.997572e-01 0.63507754 0.289182608 9.995514e-01
## 367 1 0.999659421 9.999994e-01 0.96868530 0.010989844 9.999972e-01
## 369 1 0.999841046 9.999984e-01 0.94480849 0.023695217 9.999942e-01
## 370 1 0.998721393 9.996810e-01 0.81668889 0.098178376 9.993870e-01
## 376 1 0.999737661 9.999895e-01 0.97780319 0.009945069 9.999660e-01
## 378 1 0.999997254 9.959202e-01 0.99082953 0.003407241 9.974656e-01
## 379 1 0.996236124 9.999999e-01 0.95861303 0.021075960 9.999991e-01
## 385 1 0.999435581 9.999839e-01 0.96942172 0.014537131 9.999459e-01
## 390 1 0.999564645 1.000000e+00 0.98673411 0.006317365 1.000000e+00
## 394 1 0.999631691 1.000000e+00 0.98660790 0.005593371 1.000000e+00
## 395 1 0.999698360 9.991027e-01 0.96385694 0.023780265 9.983503e-01
## 396 1 0.960577443 9.998299e-01 0.72072181 0.207568597 9.993238e-01
## 402 1 0.999996290 9.994340e-01 0.78835938 0.155298359 9.995036e-01
## 404 1 0.998157022 9.999394e-01 0.64124415 0.276544985 9.998239e-01
## 406 1 0.999959453 9.998968e-01 0.97136692 0.012294517 9.998345e-01
## 408 1 0.999485072 9.943424e-01 0.91456194 0.039237228 9.938615e-01
## 409 1 0.999866271 9.999988e-01 0.93000531 0.029742754 9.999959e-01
## 411 1 0.999995048 9.991337e-01 0.94411112 0.020866741 9.993836e-01
## 416 1 0.999943944 9.999806e-01 0.81273856 0.112550987 9.999601e-01
## 421 1 0.999997374 9.503963e-01 0.99143380 0.002598359 9.812099e-01
## 422 1 0.999999114 2.965733e-01 0.94121541 0.021064838 7.427140e-01
## 425 1 0.999892534 9.999154e-01 0.96832958 0.009927786 9.998648e-01
## 428 1 0.817015392 9.991798e-01 0.76518674 0.209477387 9.962553e-01
## 429 1 0.998451714 9.999899e-01 0.79120245 0.130509268 9.999622e-01
## 430 1 0.999986381 9.997446e-01 0.77859260 0.157487161 9.996997e-01
## 431 1 0.999618870 9.999829e-01 0.94543986 0.026882911 9.999490e-01
## 432 1 0.999968878 9.994365e-01 0.96237308 0.012844401 9.994364e-01
## 436 1 0.997108073 9.998990e-01 0.94531955 0.021375302 9.997334e-01
## 439 1 0.999608382 9.999998e-01 0.96633074 0.012274995 9.999990e-01
## 441 1 0.999949312 9.999722e-01 0.93011765 0.026374702 9.999522e-01
## 442 1 0.999659341 9.999923e-01 0.97473898 0.011434018 9.999729e-01
## 446 1 0.998769854 9.999629e-01 0.62168781 0.313018475 9.998855e-01
## 447 1 0.998846977 9.999606e-01 0.87662483 0.063200252 9.998902e-01
## 453 1 0.999279549 9.998492e-01 0.96072284 0.015126344 9.996856e-01
## 457 1 0.999942187 9.997097e-01 0.92136849 0.033659401 9.996360e-01
## 458 1 0.999993937 9.908668e-01 0.95748543 0.014369627 9.955287e-01
## 461 1 0.998647780 9.998834e-01 0.94713558 0.022171205 9.997195e-01
## 463 1 0.999971795 1.000000e+00 0.99183371 0.002384006 1.000000e+00
## 467 1 0.999825599 9.991812e-01 0.91236809 0.040493084 9.989562e-01
## 469 1 0.999508019 1.000000e+00 0.97716375 0.008945421 9.999999e-01
## 477 1 0.897527598 9.764575e-01 0.38516342 0.563836879 9.553074e-01
## 481 1 0.999999507 9.963515e-01 0.94972314 0.021911645 9.983867e-01
## 486 1 0.999717602 9.999999e-01 0.97645548 0.008677986 9.999993e-01
## 496 1 0.880149783 9.999768e-01 0.83444818 0.142842839 9.998170e-01
## 497 1 0.999924863 9.999219e-01 0.77296709 0.142589597 9.998680e-01
## 505 1 0.999864575 9.999975e-01 0.97123089 0.010325283 9.999920e-01
## 506 1 0.998123678 9.999986e-01 0.96249569 0.014861822 9.999926e-01
## 515 1 0.999978095 9.997417e-01 0.93945642 0.024339336 9.997130e-01
## 516 1 0.999915137 1.000000e+00 0.98651989 0.004511318 1.000000e+00
## 522 1 0.995967324 9.999877e-01 0.93319354 0.039318304 9.999414e-01
## 525 1 0.999798673 9.927006e-01 0.91354502 0.037290880 9.936044e-01
## 529 1 0.999926030 9.999868e-01 0.93866433 0.022131141 9.999732e-01
## 531 1 0.999949382 1.000000e+00 0.98774507 0.003844136 1.000000e+00
## 532 1 0.999596566 1.000000e+00 0.98590998 0.005822174 9.999999e-01
## 541 1 0.999978919 9.999916e-01 0.94792254 0.018056922 9.999847e-01
## 546 1 0.999649996 9.999967e-01 0.67332292 0.273399005 9.999868e-01
## 548 1 0.999880752 9.999693e-01 0.75671764 0.167307464 9.999325e-01
## 552 1 0.999359697 9.999999e-01 0.98168389 0.006221617 9.999995e-01
## 556 1 0.999697417 9.999665e-01 0.92381702 0.034854035 9.999206e-01
## 560 1 0.999996824 9.991346e-01 0.94227069 0.022051939 9.994180e-01
## 562 1 0.999998287 6.573896e-01 0.90786322 0.038891821 9.005237e-01
## 564 1 0.999909924 1.000000e+00 0.99330471 0.002521041 1.000000e+00
## 567 1 0.999977380 9.999990e-01 0.98627859 0.004586962 9.999971e-01
## 569 1 0.999990167 9.999997e-01 0.98064006 0.006065378 9.999992e-01
## 572 1 0.998337297 9.996398e-01 0.42772038 0.570389919 9.991466e-01
## 574 1 0.997538575 9.999994e-01 0.96693001 0.012578171 9.999963e-01
## 575 1 0.998131840 9.999055e-01 0.95501047 0.016759258 9.997638e-01
## 583 1 0.999913572 9.999982e-01 0.92258285 0.035152859 9.999944e-01
## 586 1 0.999863284 9.999984e-01 0.71543308 0.235281912 9.999936e-01
## 589 1 0.694469730 9.980149e-01 0.69238833 0.232721046 9.926607e-01
## 590 1 0.998102360 9.998631e-01 0.94520169 0.022672335 9.996669e-01
## 591 1 0.999911887 9.999982e-01 0.85389234 0.080013003 9.999942e-01
## 595 1 0.999879088 1.000000e+00 0.96953979 0.010405388 9.999998e-01
## 598 1 0.999914514 1.000000e+00 0.99458383 0.002099914 1.000000e+00
## 605 1 0.912017168 9.503614e-01 0.74618361 0.216381811 9.072521e-01
## 613 1 0.999997551 3.163415e-01 0.93169694 0.025052570 7.304492e-01
## 617 1 0.999936479 9.999999e-01 0.98432859 0.005012942 9.999995e-01
## 624 1 0.999943100 9.999997e-01 0.98585759 0.003929535 9.999988e-01
## 626 1 0.999616257 9.999943e-01 0.76868500 0.151232247 9.999808e-01
## 627 1 0.999927311 9.998827e-01 0.96838532 0.010002900 9.998313e-01
## 629 1 0.999904978 9.999930e-01 0.91697883 0.037668430 9.999821e-01
## 635 1 0.999980793 1.000000e+00 0.99191639 0.002212019 1.000000e+00
## 639 1 0.999940868 9.999936e-01 0.98100776 0.005460379 9.999854e-01
## 642 1 0.999970872 9.992992e-01 0.96743522 0.011125522 9.993184e-01
## 644 1 0.999967641 9.981054e-01 0.96947309 0.010274406 9.984119e-01
## 650 1 0.999998709 6.470573e-01 0.90472565 0.041802696 8.993530e-01
## 652 1 0.999988039 9.998237e-01 0.82004034 0.109573126 9.997956e-01
## 660 1 0.999756178 9.999252e-01 0.90782247 0.043894513 9.998500e-01
## 662 1 0.999592331 9.920231e-01 0.93157540 0.027829683 9.923669e-01
## 664 1 0.999469244 9.999916e-01 0.71516017 0.212058148 9.999710e-01
## 665 1 0.999811115 1.000000e+00 0.96869637 0.010692490 9.999998e-01
## 668 1 0.999999126 8.541533e-01 0.92880180 0.029064787 9.614078e-01
## 671 1 0.999619871 9.999777e-01 0.67358489 0.258332329 9.999368e-01
## 673 1 0.998872105 9.996339e-01 0.62554823 0.297750094 9.992558e-01
## 674 1 0.999998633 9.957983e-01 0.99164798 0.002976003 9.976812e-01
## 675 1 0.998764947 9.999274e-01 0.95948917 0.014428845 9.998235e-01
## 686 1 0.999931287 1.000000e+00 0.98698358 0.004243679 9.999998e-01
## 687 1 0.999843325 9.990569e-01 0.94468561 0.022168249 9.988612e-01
## 688 1 0.998708154 9.885876e-01 0.90573463 0.044642462 9.873689e-01
## 689 1 0.999930150 9.999979e-01 0.97036743 0.011986590 9.999932e-01
## 692 1 0.937527590 9.843910e-01 0.38828173 0.567470858 9.699630e-01
## 693 1 0.999902234 1.000000e+00 0.99326132 0.002567965 1.000000e+00
## 696 1 0.999704271 9.999781e-01 0.97336617 0.012078918 9.999371e-01
## 699 1 0.999989326 9.999491e-01 0.86276827 0.077864041 9.999284e-01
## 707 1 0.999844283 9.999905e-01 0.92268946 0.031395423 9.999765e-01
## 708 1 0.999883097 9.999991e-01 0.76454184 0.176947874 9.999964e-01
## 710 1 0.999812806 9.999969e-01 0.94291579 0.024188548 9.999898e-01
## 712 1 0.999999117 9.994442e-01 0.87354042 0.085550742 9.995900e-01
## 713 1 0.999967022 1.000000e+00 0.98983821 0.002955840 9.999999e-01
## 714 1 0.999789077 1.000000e+00 0.98963378 0.004336824 1.000000e+00
## 715 1 0.999982434 9.999708e-01 0.96499776 0.012426727 9.999549e-01
## 717 1 0.953996053 9.648730e-01 0.22999732 0.782505222 9.411329e-01
## 725 1 0.999935590 1.000000e+00 0.99202469 0.002481243 1.000000e+00
## 726 1 0.999236454 9.999923e-01 0.65477035 0.292427735 9.999703e-01
## 731 1 0.999544124 9.999999e-01 0.98238777 0.007090098 9.999995e-01
## 733 1 0.999968181 8.972281e-01 0.97771715 0.008591779 9.484986e-01
## 735 1 0.999940653 9.999737e-01 0.93756822 0.025909489 9.999501e-01
## 736 1 0.999966104 9.999992e-01 0.98551697 0.004010836 9.999977e-01
## 746 1 0.999915252 9.960028e-01 0.91097787 0.039598292 9.965473e-01
## 749 1 0.999998978 9.954362e-01 0.94562094 0.023504410 9.978672e-01
## 751 1 0.999984217 9.999868e-01 0.85436079 0.080581793 9.999760e-01
## 752 1 0.999975343 9.999994e-01 0.98572726 0.005647979 9.999979e-01
## 756 1 0.999836355 9.999997e-01 0.94760312 0.020054318 9.999987e-01
## 764 1 0.448796565 9.338815e-01 0.20605764 0.776666316 8.641022e-01
## 767 1 0.994247072 9.966123e-06 0.05846470 0.948496875 1.034551e-04
## 768 1 0.110903413 2.681315e-03 0.07213906 0.924811193 4.128766e-03
## 769 1 0.002804795 4.239210e-01 0.05343849 0.963440755 1.751012e-01
## 770 1 0.069520272 9.550560e-01 0.16602840 0.863765137 8.447521e-01
## 771 1 0.371842478 9.415080e-01 0.19910702 0.788479092 8.702345e-01
## 773 1 0.990652195 8.049178e-04 0.05087585 0.965230160 3.329477e-03
## 777 1 0.064187434 1.503607e-03 0.10705428 0.935579274 1.633023e-03
## 778 1 0.083330347 4.430001e-01 0.13272099 0.888653574 2.734479e-01
## 780 1 0.993983861 2.762945e-03 0.06847166 0.947771590 1.014860e-02
## 783 1 0.072506358 5.362417e-01 0.09408206 0.909225121 3.629510e-01
## 789 1 0.137389033 1.648318e-01 0.04351604 0.966001175 1.230036e-01
## 808 1 0.050512210 2.667227e-04 0.08004476 0.925697264 4.917753e-04
## 812 1 0.007712453 7.190235e-01 0.07390210 0.940698296 4.227320e-01
## 816 1 0.999803723 3.957336e-04 0.19832288 0.811203026 3.297703e-03
## 817 1 0.999142897 3.193908e-06 0.11852530 0.891406032 4.970752e-05
## 827 1 0.999920365 3.986743e-06 0.05505641 0.964557036 7.628438e-05
## 829 1 0.075079633 1.596926e-03 0.06210359 0.938708923 2.481679e-03
## 832 1 0.187497867 7.610449e-01 0.12992780 0.878566097 5.949318e-01
## 833 1 0.824184385 1.198005e-02 0.04892300 0.964411456 2.077047e-02
## 834 1 0.971283207 3.333456e-04 0.03401247 0.979262731 1.331857e-03
## 844 1 0.065003293 4.684848e-01 0.08999066 0.915222795 3.068280e-01
## 845 1 0.002839169 9.990066e-01 0.09100994 0.946093716 9.870863e-01
## 846 1 0.015969206 5.247627e-02 0.08144901 0.950165087 2.742790e-02
## 847 1 0.145895735 1.753785e-02 0.07988901 0.928039205 1.884303e-02
## 855 1 0.815826911 4.369014e-04 0.04894203 0.959527470 1.403651e-03
## 863 1 0.004208287 1.021906e-01 0.02419024 0.984087686 4.831791e-02
## 866 1 0.005192410 9.683072e-01 0.08638286 0.940907178 8.310909e-01
## 868 1 0.089881259 4.831851e-05 0.18007148 0.829372173 1.184070e-04
## 869 1 0.026427725 1.744608e-04 0.06468055 0.943298865 3.103964e-04
## 872 1 0.004425669 8.279746e-01 0.07456299 0.940789592 5.318779e-01
## 873 1 0.007765530 6.894456e-01 0.07313081 0.941921348 3.932313e-01
## 874 1 0.013093444 5.099596e-02 0.05608858 0.956729139 3.078058e-02
## 881 1 0.976803931 2.256564e-03 0.11203115 0.896192903 7.401203e-03
## 882 1 0.999997095 8.475600e-06 0.09888200 0.939873240 2.087255e-04
## 890 1 0.262723886 3.504458e-02 0.13507335 0.837801719 4.146047e-02
## 891 1 0.009446604 5.454569e-01 0.08660810 0.933234212 2.776555e-01
## 893 1 0.678023461 8.866893e-01 0.22155854 0.758468259 8.161976e-01
## 894 1 0.969370286 5.090496e-02 0.08174467 0.932077984 8.948402e-02
## 904 1 0.720158275 7.326414e-02 0.06134301 0.951156617 8.693552e-02
## 908 1 0.553531433 8.215413e-02 0.12078999 0.883176421 8.911014e-02
## 920 1 0.016856948 9.999825e-01 0.21546755 0.856419281 9.996318e-01
## 927 1 0.019630232 9.911647e-01 0.13926607 0.890737549 9.473453e-01
## 941 1 0.342832806 9.346386e-01 0.21010713 0.774884831 8.563241e-01
## 942 1 0.999344722 3.926751e-03 0.20465643 0.779178293 2.005783e-02
## 945 1 0.411921062 4.992820e-03 0.12459030 0.855942765 8.920018e-03
## 947 1 0.288076344 8.727076e-01 0.16975477 0.825929277 7.559823e-01
## 952 1 0.006513119 4.125323e-01 0.06974592 0.947608745 1.905878e-01
## 953 1 0.044488157 9.047175e-01 0.13721977 0.894824890 7.188611e-01
## 954 1 0.256413420 8.677456e-01 0.16852132 0.828829564 7.437587e-01
## 961 1 0.053295167 3.164172e-01 0.11962062 0.905540351 1.793529e-01
## 963 1 0.991336461 3.295200e-03 0.06531078 0.951069583 1.109108e-02
## 964 1 0.998479919 1.010664e-04 0.02471125 0.988949153 6.665544e-04
## 965 1 0.743527863 9.391071e-03 0.03968778 0.971461763 1.612408e-02
## 967 1 0.006599396 9.995695e-01 0.12815289 0.912752372 9.944553e-01
## 968 1 0.037720278 9.343618e-02 0.10915604 0.930509590 5.028113e-02
## 970 1 0.769789863 2.203211e-03 0.03990856 0.971956351 4.866604e-03
## 971 1 0.904421231 2.110153e-03 0.02069569 0.990069870 4.799869e-03
## 976 1 0.544081099 1.834884e-03 0.12902686 0.866836096 3.893692e-03
## 979 1 0.087443554 9.643797e-01 0.14715869 0.844135111 8.913799e-01
## 984 1 0.041541937 8.839786e-03 0.04250916 0.965314275 8.882167e-03
## 990 1 0.037379807 1.962109e-05 0.13841025 0.872938957 4.940072e-05
## 992 1 0.012046678 1.347527e-03 0.03595398 0.971084558 1.552308e-03
## 996 1 0.016192661 4.417238e-02 0.05740883 0.954038155 2.856768e-02
## 1006 1 0.289237477 4.485739e-04 0.08049246 0.913084554 1.112318e-03
## 1008 1 0.650523600 5.996832e-01 0.18297262 0.799115618 5.295391e-01
## 1013 1 0.003600741 2.088155e-01 0.05780223 0.959795246 8.547820e-02
## 1021 1 0.067874944 2.757461e-02 0.14012007 0.910828401 1.865130e-02
## 1022 1 0.166976344 5.628961e-01 0.16242841 0.846718347 3.977202e-01
## 1026 1 0.671277670 2.363493e-02 0.05318095 0.957047384 3.390895e-02
## 1030 1 0.642770073 7.179065e-02 0.12997339 0.866515712 8.588835e-02
## 1031 1 0.943026678 4.367185e-03 0.03894817 0.975227402 1.030619e-02
## 1042 1 0.005774395 9.999177e-01 0.14929545 0.911547502 9.984204e-01
## 1046 1 0.028125571 6.911856e-01 0.06695192 0.940968646 4.582055e-01
## 1047 1 0.045308336 9.943353e-01 0.18849297 0.803873059 9.713459e-01
## 1049 1 0.007185399 9.553898e-01 0.09114452 0.935705681 7.948615e-01
## 1050 1 0.018354858 1.130789e-02 0.07023008 0.953451595 8.143953e-03
## 1052 1 0.059259507 4.677385e-04 0.07914078 0.923335209 8.264699e-04
## 1053 1 0.028817033 4.160013e-03 0.04646156 0.959977824 4.568244e-03
## 1055 1 0.017970162 9.162542e-01 0.12493091 0.882611428 7.414306e-01
## 1057 1 0.017392360 4.705580e-02 0.05877424 0.952799418 3.042545e-02
## 1061 1 0.998949913 3.419593e-06 0.13917039 0.862421064 5.241932e-05
## 1065 1 0.999999330 4.211373e-05 0.15850285 0.886785538 1.009020e-03
## 1072 1 0.996320716 1.679575e-04 0.11292704 0.880101799 1.205710e-03
## 1075 1 0.117967949 9.745514e-01 0.20118051 0.817330078 9.093859e-01
## 1076 1 0.671013809 8.870165e-01 0.22360495 0.747692655 8.193301e-01
## 1079 1 0.933641345 9.358688e-02 0.11518712 0.881642243 1.407211e-01
## 1080 1 0.241308198 8.043460e-01 0.17142089 0.807939322 6.735201e-01
## 1081 1 0.007270796 9.923506e-01 0.10653158 0.924204319 9.450601e-01
## 1088 1 0.235415479 9.273712e-01 0.18544350 0.791419027 8.402527e-01
## 1089 1 0.008723309 9.997925e-01 0.14739923 0.898426652 9.970605e-01
## 1091 1 0.542343683 4.090572e-02 0.11425394 0.885064951 5.115150e-02
## 1097 1 0.307250796 3.313745e-02 0.21564833 0.830608332 2.975528e-02
## 1100 1 0.507748753 5.041485e-02 0.05006835 0.959004616 5.847754e-02
## 1104 1 0.150480728 1.226741e-03 0.20896040 0.819962180 1.769737e-03
## 1105 1 0.080124398 3.510109e-03 0.08565037 0.919475575 4.540089e-03
## 1108 1 0.055164700 9.970507e-01 0.20532198 0.780181858 9.838531e-01
## 1110 1 0.015792797 9.835429e-01 0.12325736 0.905090092 9.119407e-01
## 1113 1 0.031606111 2.561435e-04 0.06400151 0.942456768 4.461771e-04
## 1114 1 0.018217832 2.806846e-03 0.03926685 0.968318614 3.021093e-03
## 1118 1 0.028483775 5.558693e-02 0.06661487 0.944571016 3.782317e-02
## 1123 1 0.189364405 1.861383e-01 0.20801549 0.780295919 1.424673e-01
## 1124 1 0.305753603 9.455709e-01 0.20653780 0.779162495 8.725405e-01
## 1125 1 0.998792386 5.521130e-03 0.18866230 0.804887875 2.388005e-02
## 1129 1 0.033390206 3.130996e-01 0.10937863 0.913498593 1.690786e-01
## 1130 1 0.202746209 6.789057e-01 0.13013503 0.874127869 5.191629e-01
## 1137 1 0.155817406 7.546667e-01 0.13220103 0.874228393 5.820613e-01
## 1138 1 0.829129650 6.899169e-03 0.04964596 0.961971480 1.355937e-02
## 1139 1 0.993560563 3.231986e-04 0.05196578 0.962756917 1.682093e-03
## 1140 1 0.850121955 5.250813e-03 0.05518392 0.954033416 1.143047e-02
## 1142 1 0.002800348 9.833175e-01 0.07127725 0.954126305 8.851996e-01
## 1143 1 0.038132542 5.209789e-04 0.08220285 0.956914904 5.978408e-04
## 1149 1 0.072312442 5.116701e-01 0.09087370 0.911097307 3.467564e-01
## 1150 1 0.003120155 9.993772e-01 0.09569963 0.940864007 9.914834e-01
## 1170 1 0.030091270 9.992886e-01 0.21121497 0.802649106 9.940205e-01
## 1172 1 0.012590464 1.218241e-02 0.05748580 0.963925698 8.159294e-03
## 1175 1 0.015003068 6.489897e-04 0.03251167 0.974500403 8.690635e-04
## 1176 1 0.005792802 5.187734e-02 0.03496107 0.974481287 2.845264e-02
## 1177 1 0.007838442 8.456639e-01 0.09000181 0.922897055 5.841323e-01
## 1178 1 0.008117154 7.409617e-01 0.07563061 0.940036339 4.450921e-01
## 1183 1 0.999369579 1.316762e-06 0.12739931 0.875388978 2.555647e-05
## 1184 1 0.055108812 6.805134e-03 0.10689505 0.906852304 6.942295e-03
## 1194 1 0.994425551 9.738317e-06 0.05444850 0.955474414 9.865409e-05
## 1196 1 0.003513108 3.261069e-01 0.05579074 0.961702199 1.335039e-01
## 1197 1 0.014587448 7.036070e-01 0.09408238 0.936952641 3.986000e-01
## 1199 1 0.757246777 3.813869e-03 0.04476877 0.965752024 7.859999e-03
## 1200 1 0.987008928 1.653935e-04 0.03809393 0.975252576 8.527049e-04
## 1202 1 0.074314329 2.407333e-01 0.09135738 0.911293279 1.634993e-01
## 1204 1 0.025111702 3.637179e-04 0.07363113 0.962428350 4.158965e-04
## 1208 1 0.996238565 3.751135e-05 0.01849477 0.992211136 2.553729e-04
## 1215 1 0.806114555 3.755611e-04 0.01269618 0.994603186 9.987471e-04
## 1218 1 0.005737509 9.998408e-01 0.13438743 0.912625939 9.974430e-01
## 1219 1 0.084533058 1.536078e-02 0.14423157 0.914286735 1.130273e-02
## 1220 1 0.180735078 4.887686e-04 0.07121617 0.935929045 9.992607e-04
## 1231 1 0.017319207 9.986681e-01 0.17985829 0.841565441 9.889247e-01
## 1237 1 0.002708044 3.520841e-02 0.02745739 0.981699463 1.794911e-02
## 1240 1 0.007700329 3.718490e-02 0.04725227 0.965769892 2.149613e-02
## 1242 1 0.518606898 8.114194e-03 0.10831553 0.893683114 1.310059e-02
## 1245 1 0.026622682 2.601362e-03 0.08354577 0.930335845 2.800027e-03
## 1246 1 0.032580172 6.186580e-01 0.09996122 0.916086651 3.799376e-01
## 1250 1 0.124135384 1.956125e-04 0.05178779 0.951833447 4.604605e-04
## 1256 1 0.110876168 1.693853e-03 0.06944399 0.928909763 2.797717e-03
## 1260 1 0.762656632 4.153181e-03 0.04482085 0.966479221 8.370144e-03
## 1262 1 0.751004547 2.723236e-03 0.04519668 0.964899393 5.951492e-03
## 1271 1 0.045061377 3.522653e-01 0.07544764 0.932587815 2.168105e-01
## 1272 1 0.002285215 9.986325e-01 0.08835958 0.946911697 9.828646e-01
## 1274 1 0.156589209 1.046477e-02 0.07241855 0.937481171 1.224765e-02
## 1276 1 0.808064482 3.048952e-04 0.01184813 0.995155629 8.299180e-04
## 1283 1 0.260782995 3.824670e-03 0.02105364 0.987559799 5.444719e-03
## 1289 1 0.018562656 1.667806e-03 0.02752441 0.979710645 1.943489e-03
## 1292 1 0.014390616 9.980815e-01 0.16773897 0.853275353 9.847014e-01
## 1298 1 0.002017892 2.677954e-02 0.02435308 0.984211693 1.362068e-02
## 1300 1 0.004601026 6.380723e-01 0.06469546 0.950124010 3.307190e-01
## 1304 1 0.998729545 4.752203e-05 0.12483458 0.889585081 4.354179e-04
## 1306 1 0.023657917 2.922368e-03 0.08054985 0.933948006 3.016861e-03
## 1308 1 0.914272445 1.172758e-03 0.08041972 0.930362235 3.520400e-03
## 1316 1 0.998467788 4.907861e-05 0.09528251 0.906543154 4.775928e-04
## 1320 1 0.508798715 9.724718e-01 0.23305409 0.745652097 9.334694e-01
## 1323 1 0.917386861 2.196284e-02 0.07656528 0.931306083 4.112783e-02
## 1326 1 0.135124248 3.938558e-03 0.13600856 0.913368756 4.102066e-03
## 1329 1 0.997664619 9.278270e-03 0.08326493 0.936491724 3.082134e-02
## 1330 1 0.999552795 2.868796e-04 0.03594277 0.982605243 1.900854e-03
## 1332 1 0.171327746 7.730375e-01 0.13495488 0.854055916 6.243750e-01
## 1334 1 0.107476871 3.073079e-01 0.15971125 0.877700966 1.818290e-01
## 1335 1 0.443925069 1.671873e-01 0.14752465 0.843863524 1.567039e-01
## 1337 1 0.978264919 2.359585e-03 0.02784613 0.985302013 6.719864e-03
## 1338 1 0.363930432 4.347030e-01 0.07143971 0.934477786 3.520722e-01
## 1340 1 0.017049175 9.999796e-01 0.21123160 0.838061592 9.996174e-01
## 1342 1 0.741604542 7.679846e-03 0.16637480 0.812637873 1.492226e-02
## 1345 1 0.133559081 9.890481e-01 0.18625195 0.787754828 9.608864e-01
## 1347 1 0.014122411 9.999952e-01 0.22436566 0.853776635 9.998696e-01
## 1348 1 0.194113445 7.934088e-03 0.27756844 0.760777856 8.391645e-03
## 1354 1 0.016825051 9.968287e-01 0.14319175 0.888714618 9.762954e-01
## 1356 1 0.064094824 9.345935e-05 0.17592459 0.831008289 1.970412e-04
## 1358 1 0.029711542 2.437220e-03 0.04349314 0.962920309 2.941874e-03
## 1360 1 0.020402170 9.661966e-01 0.13487086 0.872238308 8.664373e-01
## 1361 1 0.017641740 9.203222e-01 0.10672016 0.905734523 7.463367e-01
## 1362 1 0.026033928 1.789384e-01 0.07215659 0.940420806 1.024745e-01
## 1364 1 0.854926446 8.662497e-02 0.18756695 0.790130892 1.182689e-01
## 1365 1 0.999834625 5.368225e-04 0.23010136 0.762598707 4.507281e-03
## 1366 1 0.999474851 6.895045e-06 0.14858347 0.853966068 1.029931e-04
## 1370 1 0.999999425 4.525724e-05 0.16975026 0.877822630 1.088903e-03
## 1372 1 0.448512577 1.457651e-03 0.10280735 0.886813122 3.239536e-03
## [,7] [,8] [,9] [,10] [,11]
## 3 0.9993335422 9.999656e-01 0.13978902 2.752012e-07 0.9758745781
## 11 0.9993727763 5.103062e-02 0.60233820 1.165174e-08 0.9800626350
## 12 0.9995830495 9.999887e-01 0.09990051 1.643190e-06 0.9866014377
## 13 0.9998265608 9.969485e-01 0.29004806 1.326071e-14 0.9999966175
## 14 0.9950369039 9.987143e-01 0.65630384 4.650927e-11 0.9999999994
## 17 0.9996273029 9.921980e-01 0.24363549 5.683450e-07 0.9880684458
## 21 0.9999996650 9.809021e-01 0.02805680 2.586962e-16 0.9837270128
## 22 0.7095971415 9.999872e-01 0.67773982 1.454270e-02 0.9998056817
## 25 0.9999958605 1.114692e-01 0.19035323 3.682339e-19 0.9478179868
## 26 0.9108438029 1.000000e+00 0.27383376 3.970657e-08 0.9999999992
## 36 0.9998488613 9.303501e-01 0.28378405 3.471021e-10 0.9975919256
## 38 0.9998568140 9.999218e-01 0.10103954 7.977874e-08 0.9974206194
## 40 0.9999833255 1.868927e-01 0.27611949 3.322549e-17 0.9894951718
## 43 0.9977287814 6.248196e-01 0.67813222 1.221920e-09 0.9999692704
## 48 0.9412932216 6.831648e-04 0.96861417 1.819722e-15 0.9975991779
## 49 0.9999731794 6.577026e-01 0.18483343 8.428670e-12 0.8229651055
## 54 0.9998180952 8.845948e-01 0.31744672 6.659349e-11 0.9949284260
## 56 0.9999840556 9.999894e-01 0.03392952 1.660684e-09 0.9981082033
## 61 0.9997828689 9.999999e-01 0.06362151 1.105720e-09 0.9999997159
## 62 0.9972474518 9.971333e-01 0.46956550 5.646623e-07 0.9999876860
## 64 0.9863184512 9.974623e-01 0.51009277 1.396700e-04 0.9692662044
## 65 0.9999954015 9.941417e-01 0.04342204 8.290165e-10 0.6239729600
## 66 0.9996840776 9.999209e-01 0.15823646 4.051865e-08 0.9999156361
## 69 0.9990779617 9.390840e-01 0.52217759 7.089357e-12 0.9999693915
## 70 0.9971687915 3.729468e-01 0.72330359 3.763174e-10 0.9998819860
## 72 0.9999232858 9.997497e-01 0.07987859 1.626945e-06 0.9594223543
## 74 0.9997297574 9.999997e-01 0.05684386 9.158212e-07 0.9991360999
## 75 0.9999975116 2.208331e-01 0.16638238 5.366534e-21 0.9939589974
## 80 0.9990497461 9.999709e-01 0.22002906 5.447174e-06 0.9999983823
## 82 0.9999823038 9.999212e-01 0.04922366 5.720274e-10 0.9978041533
## 83 0.9999988953 9.027378e-01 0.06015961 2.116227e-16 0.9872411264
## 84 0.9998004037 9.900006e-01 0.32762926 4.028216e-14 0.9999884843
## 86 0.9999664508 9.997696e-01 0.07278418 1.868607e-09 0.9974419388
## 92 0.9999799978 9.998131e-01 0.06361194 1.272853e-10 0.9992103944
## 93 0.9999952519 7.931248e-01 0.11295608 4.424818e-15 0.9834801980
## 96 0.6090849174 1.000000e+00 0.52589942 8.731174e-06 0.9999999992
## 104 0.9976310274 9.999996e-01 0.13579437 8.740078e-07 0.9995157807
## 105 0.9999069760 9.997824e-01 0.08925576 8.063118e-08 0.9681846854
## 109 0.9999527657 3.639454e-02 0.42435797 5.429963e-17 0.9621347165
## 110 0.9999783253 3.186039e-01 0.31344371 2.977823e-18 0.9994354231
## 114 0.9999948697 9.796498e-01 0.07062821 3.147106e-11 0.9898148926
## 115 0.9994971487 6.610143e-01 0.47178006 2.139142e-10 0.9967355583
## 116 0.9990631919 8.364856e-01 0.40908430 4.892599e-07 0.7906851961
## 117 0.9999912847 9.039242e-01 0.11001966 1.074756e-11 0.9838113902
## 126 0.9999621735 8.935529e-01 0.18348194 7.714022e-10 0.9928885311
## 138 0.9999988436 9.476423e-01 0.05480051 6.073452e-16 0.9897485444
## 141 0.9994195200 9.999995e-01 0.10524080 6.266358e-06 0.9999985708
## 143 0.9999542554 9.364110e-01 0.14459835 5.685399e-09 0.5586186426
## 145 0.9999924197 3.614491e-01 0.21650089 1.713692e-19 0.9970789239
## 154 0.9999888194 1.718866e-01 0.29413664 1.310157e-20 0.9986358060
## 158 0.9992484083 9.999974e-01 0.10860857 1.959744e-07 0.9955303940
## 160 0.9990193872 9.995490e-01 0.28738801 1.055616e-06 0.9999738199
## 161 0.9999932902 9.860844e-01 0.06145716 1.223114e-10 0.7557826154
## 163 0.9965016575 9.659799e-01 0.66641738 1.562117e-12 0.9999973716
## 166 0.9995998526 9.999963e-01 0.09003922 9.723377e-08 0.9935189844
## 168 0.9969296819 1.040973e-01 0.73749587 2.478080e-10 0.9860216207
## 172 0.9996699174 9.999859e-01 0.09364092 1.885936e-06 0.9837566734
## 174 0.9961084082 9.995136e-01 0.66171007 3.654683e-16 0.9999999999
## 175 0.9990844308 9.999014e-01 0.22692193 1.097719e-06 0.9999466754
## 176 0.9988190173 9.999990e-01 0.11926438 2.753620e-07 0.9990698975
## 177 0.9889942874 1.832250e-03 0.91886551 2.517004e-14 0.9890720435
## 178 0.9999634280 8.711116e-01 0.17542603 9.205823e-11 0.9359184368
## 179 0.9665887803 1.000000e+00 0.23565137 1.500906e-03 0.9999999994
## 181 0.9971911841 9.496341e-01 0.49289527 4.852926e-06 0.9834209138
## 182 0.9655582979 1.000000e+00 0.25757964 3.689633e-04 0.9999999992
## 195 0.9707672364 9.495273e-01 0.90848746 3.154092e-17 0.9999999997
## 198 0.9996412336 9.940635e-01 0.32477782 8.843640e-12 0.9999467477
## 205 0.9992081438 9.827679e-01 0.43139899 4.764858e-09 0.9999824017
## 207 0.9999958897 8.509251e-01 0.07905184 1.693912e-13 0.4971026118
## 209 0.9998608067 9.771284e-01 0.29028624 1.873943e-12 0.9999175301
## 212 0.9999824166 1.261328e-01 0.32619813 7.310148e-20 0.9946107386
## 219 0.9950968365 9.943410e-01 0.64957402 5.243784e-12 0.9999996937
## 227 0.9279855303 9.644799e-01 0.75813777 3.297446e-03 0.9671308771
## 229 0.9964295792 9.998835e-01 0.27274898 2.755841e-06 0.9602385266
## 230 0.9999944108 9.996845e-01 0.03066395 4.381195e-09 0.8761270103
## 239 0.9999239100 9.997786e-01 0.08181959 8.465365e-07 0.9808247353
## 242 0.9407665011 9.999999e-01 0.42233757 4.314707e-02 0.9999999995
## 254 0.9999940574 9.896626e-01 0.05311624 3.252131e-10 0.5948692047
## 257 0.9972769475 9.999298e-01 0.23465891 1.467225e-05 0.9752648013
## 258 0.9998577174 9.929635e-01 0.20474091 1.143501e-07 0.9995600571
## 266 0.9993104728 9.981225e-01 0.29817629 2.047706e-07 0.9999009968
## 269 0.9216861811 9.999957e-01 0.49006849 4.513714e-03 0.9998938004
## 270 0.9999895061 9.988740e-01 0.04881760 6.281941e-09 0.9078143669
## 273 0.9999522326 9.999912e-01 0.04903448 1.953520e-08 0.9981128342
## 275 0.9999800611 9.996546e-01 0.04998628 4.502152e-09 0.7798507879
## 277 0.9997997610 9.990008e-01 0.13775378 1.033208e-07 0.8623943079
## 288 0.9995778876 6.785301e-01 0.57026226 4.072935e-15 0.9999908406
## 289 0.9959344091 9.999906e-01 0.30350833 9.818668e-05 0.9999995637
## 292 0.9608121377 8.099510e-01 0.92831152 3.825761e-17 0.9999999976
## 294 0.9985665222 9.999998e-01 0.14190040 8.561772e-08 0.9999996064
## 298 0.9995515362 9.636197e-01 0.42749429 7.709728e-12 0.9999751411
## 307 0.9933043898 4.387683e-03 0.88586189 3.486282e-13 0.9928267088
## 312 0.9998277457 9.999999e-01 0.04101542 1.355964e-09 0.9989038783
## 315 0.9991926447 6.859709e-02 0.61516052 1.431167e-08 0.9817701140
## 316 0.7095971415 9.999872e-01 0.67773982 1.454270e-02 0.9998056817
## 326 0.9999846745 9.999324e-01 0.04592005 6.776541e-10 0.9983808846
## 328 0.9999896334 7.694767e-02 0.28440253 8.700691e-21 0.9575896567
## 331 0.9957730905 9.996894e-01 0.39694956 5.496918e-06 0.9999537090
## 332 0.9993633178 9.999989e-01 0.12213585 2.229764e-06 0.9999980087
## 338 0.9984188509 9.999993e-01 0.17610309 1.176168e-05 0.9999998868
## 342 0.9928849879 9.503731e-01 0.82637820 2.572910e-17 0.9999999952
## 345 0.9999859905 9.539305e-01 0.11937461 4.073683e-11 0.9938157058
## 346 0.8071788451 1.211215e-03 0.96524200 4.984573e-04 0.9763765014
## 347 0.9999269637 9.999654e-01 0.06984354 2.596921e-08 0.9970250126
## 351 0.9935796433 9.994336e-01 0.70176974 1.600183e-15 0.9999999998
## 357 0.9999419582 4.473410e-02 0.36918071 2.062193e-11 0.8851912607
## 361 0.9950370104 9.999992e-01 0.18634272 2.834096e-05 0.9996375492
## 367 0.9999677198 8.196211e-01 0.17781059 1.625936e-10 0.9489665163
## 369 0.9999073179 9.982931e-01 0.14167754 7.558097e-10 0.9955482568
## 370 0.9983723245 9.963930e-01 0.32340932 6.250843e-05 0.9857346015
## 376 0.9993426592 6.149845e-01 0.63172780 3.585054e-15 0.9999943149
## 378 0.9918853173 9.994781e-01 0.73473994 1.140425e-14 1.0000000000
## 379 0.9999237071 5.482137e-02 0.43946971 2.538246e-15 0.9618488712
## 385 0.9990673468 4.479648e-01 0.67096815 1.884410e-14 0.9999824192
## 390 0.9999912030 2.593927e-01 0.25156698 1.210200e-20 0.9975407859
## 394 0.9999913548 2.595252e-01 0.22592312 1.848900e-18 0.9937029847
## 395 0.9643233895 8.769404e-01 0.92249203 3.059148e-17 0.9999999989
## 396 0.9943321203 2.855159e-01 0.71145509 5.946352e-08 0.9256308766
## 402 0.9920514377 1.000000e+00 0.09677426 3.886987e-07 0.9999999762
## 404 0.9977580225 9.999325e-01 0.22249616 1.250915e-05 0.9817962253
## 406 0.9987012207 9.980626e-01 0.46888605 2.832024e-12 0.9999995462
## 408 0.9927334894 9.691819e-01 0.65451017 5.333212e-07 0.9999697639
## 409 0.9999413369 9.996713e-01 0.08260059 2.449819e-08 0.9775399852
## 411 0.9990184632 9.999995e-01 0.12592942 1.292315e-05 0.9999982455
## 416 0.9994318837 9.999998e-01 0.07189790 3.063512e-06 0.9995432652
## 421 0.9885822692 9.984492e-01 0.76586033 1.133887e-11 1.0000000000
## 422 0.9566481782 1.000000e+00 0.36565649 9.603883e-03 0.9999999997
## 425 0.9997769996 9.705475e-01 0.27542841 1.341736e-07 0.9990960591
## 428 0.9429857902 1.331327e-03 0.96296830 1.088950e-12 0.9993092303
## 429 0.9994591936 9.989343e-01 0.19955779 4.511663e-07 0.9404311306
## 430 0.9955681594 1.000000e+00 0.10700150 8.573811e-07 0.9999992699
## 431 0.9992842297 9.732642e-01 0.44221947 1.121607e-11 0.9998884611
## 432 0.9992333686 9.994228e-01 0.28340282 3.721741e-07 0.9999837725
## 436 0.9993849198 5.498897e-02 0.59745994 1.424453e-08 0.9816965522
## 439 0.9999804839 8.574252e-01 0.13905885 6.154696e-11 0.8666199903
## 441 0.9998413123 9.999447e-01 0.09235206 9.155835e-06 0.9972638908
## 442 0.9994551758 6.013896e-01 0.59871340 9.056714e-15 0.9999829996
## 446 0.9974442779 9.999884e-01 0.19906543 1.782090e-06 0.9948698754
## 447 0.9993219757 9.863869e-01 0.31527533 1.921421e-07 0.9871397271
## 453 0.9991525471 3.533571e-01 0.59585584 9.449192e-10 0.9995377699
## 457 0.9990285649 9.999380e-01 0.21402402 1.877077e-06 0.9999304366
## 458 0.9973907743 9.999934e-01 0.26198416 2.377764e-05 0.9999996826
## 461 0.9990573280 3.123895e-01 0.59826073 1.569033e-09 0.9985820824
## 463 0.9999983091 9.634409e-01 0.05811084 3.176323e-15 0.9886972749
## 467 0.9975485402 9.991156e-01 0.39293843 5.255920e-07 0.9999500087
## 469 0.9999934437 5.653246e-01 0.13206168 1.004221e-14 0.8404042592
## 477 0.9206662093 8.480024e-01 0.80078604 7.991709e-03 0.9265850092
## 481 0.9955138151 1.000000e+00 0.13955585 1.650124e-07 0.9999999992
## 486 0.9999796706 7.707839e-01 0.17817945 5.240516e-13 0.9789973940
## 496 0.9899893821 1.622349e-03 0.92497340 5.283705e-15 0.9976535796
## 497 0.9988011237 9.999998e-01 0.09363915 2.993954e-05 0.9996688319
## 505 0.9999241246 9.686297e-01 0.21135545 9.115093e-11 0.9980961729
## 506 0.9999092166 8.347706e-02 0.39680051 1.426438e-11 0.9394640394
## 515 0.9992176631 9.999846e-01 0.17782113 7.468223e-07 0.9999845677
## 516 0.9999990098 9.561374e-01 0.04172299 3.049227e-15 0.7886605824
## 522 0.9984790539 1.598578e-01 0.72681746 8.257080e-14 0.9996273645
## 525 0.9944601287 9.974153e-01 0.51718239 1.046139e-05 0.9999757926
## 529 0.9999028247 9.997334e-01 0.09313176 3.848510e-06 0.9904189544
## 531 0.9999988911 9.783477e-01 0.03916273 1.575876e-14 0.8849820432
## 532 0.9999855337 2.068422e-01 0.27570694 7.398383e-18 0.9962600745
## 541 0.9999339619 9.999833e-01 0.05608736 2.930838e-06 0.9975743395
## 546 0.9990941504 9.999995e-01 0.09786085 3.355090e-08 0.9980705192
## 548 0.9988191702 9.999996e-01 0.10431913 1.721467e-06 0.9996122534
## 552 0.9999864486 9.538430e-02 0.23402405 1.772875e-13 0.9004051774
## 556 0.9994950937 9.960248e-01 0.28084099 1.769367e-08 0.9988805331
## 560 0.9989550934 9.999999e-01 0.10834540 1.244157e-05 0.9999992112
## 562 0.9681952555 1.000000e+00 0.28321474 7.330998e-03 0.9999999980
## 564 0.9999969971 4.945191e-01 0.15729191 1.871110e-20 0.9988194403
## 567 0.9999513794 9.943339e-01 0.18287702 2.529638e-13 0.9999587448
## 569 0.9999870036 9.999003e-01 0.04856243 1.199090e-10 0.9991576332
## 572 0.9780043492 9.999992e-01 0.31389110 3.627253e-06 0.9997670614
## 574 0.9999484717 2.654642e-02 0.37664218 6.407426e-12 0.8136205760
## 575 0.9994715138 6.964571e-02 0.58350272 7.007794e-09 0.9908170331
## 583 0.9999076523 9.999408e-01 0.08180764 1.717263e-08 0.9953090167
## 586 0.9993503747 9.999999e-01 0.07095154 5.037305e-09 0.9995192110
## 589 0.9768980694 5.804290e-04 0.92469284 1.339073e-07 0.7968525841
## 590 0.9990527253 1.641868e-01 0.62006886 3.395922e-09 0.9970726442
## 591 0.9998668661 9.999980e-01 0.05190556 3.538779e-07 0.9919926291
## 595 0.9999942325 9.924032e-01 0.05250056 1.492956e-10 0.7593695754
## 598 0.9999995534 5.369654e-01 0.07391204 1.045667e-22 0.9877228579
## 605 0.7387629355 7.804361e-03 0.97761831 2.746969e-10 0.9999785536
## 613 0.9565748504 9.999998e-01 0.42366814 1.698569e-02 0.9999999982
## 617 0.9999893014 9.657710e-01 0.10937289 9.219648e-13 0.9937643221
## 624 0.9999893878 9.353625e-01 0.10992457 4.771956e-11 0.9877811083
## 626 0.9995883485 9.999900e-01 0.09748442 1.039100e-06 0.9836911879
## 627 0.9997281368 9.892246e-01 0.26763368 1.438820e-07 0.9996636592
## 629 0.9998200459 9.999246e-01 0.11019021 8.086583e-08 0.9978121689
## 635 0.9999997887 9.926953e-01 0.01594384 6.879510e-15 0.6808583776
## 639 0.9999488317 9.635478e-01 0.18211719 1.989410e-09 0.9983017330
## 642 0.9990345285 9.990279e-01 0.34027387 6.787985e-08 0.9999944286
## 644 0.9983963002 9.977636e-01 0.43322137 7.182910e-08 0.9999977003
## 650 0.9621755378 1.000000e+00 0.27588258 3.997088e-03 0.9999999992
## 652 0.9981168873 1.000000e+00 0.07997319 6.893581e-06 0.9999956107
## 660 0.9992129647 9.990170e-01 0.27139919 1.101823e-07 0.9994102100
## 662 0.9944375516 9.405410e-01 0.64689513 1.883679e-06 0.9999599148
## 664 0.9991476859 9.999938e-01 0.12636539 3.469710e-07 0.9938576354
## 665 0.9999954018 9.791893e-01 0.05354625 1.301642e-10 0.5033161296
## 668 0.9816271734 1.000000e+00 0.22773418 5.573392e-04 0.9999999990
## 671 0.9983028725 9.999989e-01 0.13410248 8.426828e-07 0.9986775442
## 673 0.9935194153 9.999822e-01 0.28752136 2.566697e-05 0.9987191851
## 674 0.9932301197 9.998774e-01 0.67289987 2.339792e-14 1.0000000000
## 675 0.9996145687 1.260280e-01 0.52351042 9.189590e-09 0.9911476504
## 686 0.9999927282 9.295910e-01 0.11187207 3.136312e-14 0.9939621813
## 687 0.9981180157 9.925062e-01 0.46324422 1.262949e-07 0.9999644927
## 688 0.9880350854 7.773209e-01 0.76584556 5.869781e-07 0.9999483314
## 689 0.9998777117 9.964858e-01 0.21465725 3.822072e-12 0.9998709121
## 692 0.9279855303 9.644799e-01 0.75813777 3.297446e-03 0.9671308771
## 693 0.9999964834 4.400446e-01 0.17377197 1.407632e-20 0.9990782048
## 696 0.9990891729 6.936253e-01 0.63977129 2.801508e-14 0.9999933750
## 699 0.9991021927 1.000000e+00 0.07032585 6.426116e-07 0.9999927032
## 707 0.9998707438 9.994570e-01 0.11513160 9.990703e-07 0.9847943554
## 708 0.9996795470 9.999998e-01 0.05736403 6.250865e-09 0.9986666246
## 710 0.9998798016 9.972782e-01 0.16323659 2.184391e-09 0.9955057021
## 712 0.9920749063 1.000000e+00 0.10240184 5.575345e-09 0.9999999994
## 713 0.9999974617 9.726218e-01 0.06100941 6.642146e-14 0.9847418893
## 714 0.9999951099 4.162495e-01 0.18318495 6.819415e-20 0.9968405466
## 715 0.9998005042 9.999211e-01 0.14002705 1.620507e-08 0.9999554921
## 717 0.7868398857 9.995880e-01 0.73311553 8.391527e-03 0.9962792255
## 725 0.9999988247 7.844890e-01 0.06866291 9.704410e-17 0.9638995679
## 726 0.9985093293 9.999962e-01 0.15266983 5.409609e-08 0.9971343406
## 731 0.9999678601 2.350033e-01 0.32657131 5.527936e-16 0.9970281132
## 733 0.9647956602 9.826879e-01 0.86800361 1.151106e-10 0.9999999992
## 735 0.9997144668 9.998782e-01 0.15178577 7.605717e-08 0.9996717258
## 736 0.9999841647 9.823744e-01 0.10894935 1.447231e-10 0.9967376141
## 746 0.9956442930 9.998327e-01 0.39287927 7.534218e-06 0.9999903452
## 749 0.9952546306 1.000000e+00 0.16947796 4.175621e-07 0.9999999971
## 751 0.9996354684 1.000000e+00 0.04657769 1.693177e-06 0.9998934163
## 752 0.9999141898 9.959672e-01 0.24657295 1.289818e-15 0.9999953710
## 756 0.9999792858 9.980644e-01 0.06789189 7.490879e-09 0.8689887307
## 764 0.8500522296 2.601753e-01 0.86328765 6.607431e-01 0.1579777972
## 767 0.0032038824 1.000000e+00 0.92109226 1.000000e+00 0.9999999120
## 768 0.0789438740 6.117760e-02 0.97532334 9.999997e-01 0.3784346272
## 769 0.1422631656 5.107933e-05 0.99063875 4.071159e-01 0.0123319307
## 770 0.5588825111 2.821799e-03 0.97048774 1.496474e-04 0.3961845564
## 771 0.8422715427 1.585968e-01 0.87746761 5.113505e-01 0.1256581176
## 773 0.0089846411 1.000000e+00 0.88298669 9.999517e-01 0.9999997953
## 777 0.0020698837 4.316913e-03 0.99879039 9.966448e-05 0.9999934107
## 778 0.2394198789 7.102868e-03 0.98016721 3.990457e-02 0.7609016495
## 780 0.0251496447 1.000000e+00 0.82494418 9.999326e-01 0.9999994001
## 783 0.5281726801 2.133371e-02 0.94084146 9.978138e-01 0.0171714487
## 789 0.2028175513 8.574476e-01 0.92531041 9.999417e-01 0.1902274609
## 808 0.0114358286 2.707958e-03 0.99510462 9.999653e-01 0.9665965508
## 812 0.3874080663 1.876400e-04 0.97830521 7.274988e-01 0.0040006735
## 816 0.0166084625 1.000000e+00 0.83553364 9.978971e-01 0.9999999998
## 817 0.0014458420 1.000000e+00 0.95053600 9.999979e-01 0.9999999999
## 827 0.0005021973 1.000000e+00 0.86409504 9.999956e-01 1.0000000000
## 829 0.0492647214 3.798529e-02 0.98171379 9.999997e-01 0.4354599423
## 832 0.5721612822 1.059433e-01 0.93332029 7.349946e-01 0.2208717898
## 833 0.0430762072 9.999620e-01 0.90873858 9.999104e-01 0.9994265257
## 834 0.0038832466 1.000000e+00 0.92732901 9.999798e-01 0.9999996206
## 844 0.4647036546 1.885287e-02 0.94854978 9.972416e-01 0.0239680547
## 845 0.6920650469 2.743874e-05 0.97970444 2.000591e-07 0.0035325808
## 846 0.0178211515 6.330338e-04 0.99679450 6.397349e-04 0.9910577478
## 847 0.0897213774 1.600593e-01 0.97481273 9.997065e-01 0.8036891345
## 855 0.0150421687 9.998832e-01 0.94652796 9.999997e-01 0.9997271029
## 863 0.0843421656 4.243646e-03 0.98125627 9.998877e-01 0.0045521113
## 866 0.4572059123 6.777861e-05 0.98304971 3.817170e-04 0.0106273543
## 868 0.0028815544 1.660492e-04 0.99892372 8.010425e-01 0.9999467800
## 869 0.0074842452 1.159960e-03 0.99632300 9.999780e-01 0.9473590720
## 872 0.4444419450 4.446727e-05 0.98045557 4.688477e-01 0.0013681516
## 873 0.3585200923 1.984650e-04 0.97952056 6.963930e-01 0.0053044512
## 874 0.0774566366 1.386654e-03 0.98819244 9.944395e-01 0.1349527500
## 881 0.0408278066 9.999901e-01 0.90994040 9.998990e-01 0.9999917031
## 882 0.0004111721 1.000000e+00 0.79391016 9.878453e-01 1.0000000000
## 890 0.3594143501 6.852427e-02 0.94688749 9.999948e-01 0.1982920425
## 891 0.2321723691 1.408049e-04 0.98719581 1.203221e-01 0.0515523055
## 893 0.8136322653 7.398337e-01 0.84608513 6.900563e-01 0.5905610279
## 894 0.1346792970 9.999981e-01 0.79772210 9.996258e-01 0.9998356166
## 904 0.1384655505 9.995515e-01 0.88528133 9.997555e-01 0.9879551631
## 908 0.2243646673 8.869761e-01 0.93818952 9.972334e-01 0.9615784439
## 920 0.9417282966 1.010797e-04 0.95710023 1.051619e-11 0.0233529423
## 927 0.7194936594 2.825976e-04 0.96830840 7.932677e-05 0.0200869654
## 941 0.8351819561 8.566396e-02 0.89247549 4.103256e-01 0.1315634400
## 942 0.1043519946 1.000000e+00 0.73132173 9.998762e-01 0.9999998722
## 945 0.1456231943 3.372416e-01 0.96079325 9.999978e-01 0.8536518490
## 947 0.7478371971 1.219860e-01 0.90551501 7.169849e-01 0.1527112358
## 952 0.1867121762 1.296714e-04 0.98795607 4.850780e-01 0.0273566236
## 953 0.3927039986 1.925367e-03 0.97911066 2.166599e-04 0.4815118939
## 954 0.7309666739 8.542193e-02 0.91439777 6.401617e-01 0.1527410741
## 961 0.1505775894 3.142520e-03 0.98678794 1.860822e-02 0.8383546864
## 963 0.0253861820 1.000000e+00 0.83819744 9.999074e-01 0.9999989536
## 964 0.0006241482 1.000000e+00 0.89673115 9.990806e-01 0.9999999999
## 965 0.0403644560 9.999430e-01 0.90867871 9.999878e-01 0.9980215039
## 967 0.8519407290 5.088172e-05 0.96666916 2.203038e-07 0.0026601903
## 968 0.0246806016 1.916670e-03 0.99606869 5.665622e-05 0.9980234356
## 970 0.0169578444 9.999478e-01 0.94029830 9.999866e-01 0.9997379591
## 971 0.0039052950 9.999999e-01 0.93100344 9.993666e-01 0.9999981495
## 976 0.0486814379 6.521624e-01 0.97720309 9.998897e-01 0.9973232015
## 979 0.8835429330 6.751427e-03 0.89203888 9.265535e-01 0.0017826024
## 984 0.0547223046 7.658218e-02 0.97862669 9.999940e-01 0.2548579368
## 990 0.0017338071 4.274440e-05 0.99923176 9.753529e-01 0.9998224398
## 992 0.0199918161 3.514089e-03 0.99129956 9.999987e-01 0.1873964415
## 996 0.0862132310 2.052501e-03 0.98642765 9.982523e-01 0.1187768836
## 1006 0.0389369778 3.947830e-01 0.97669775 9.999999e-01 0.9303173931
## 1008 0.6812051009 8.009324e-01 0.86944536 9.863684e-01 0.6481692732
## 1013 0.0913178429 5.501964e-05 0.99279338 4.498774e-01 0.0486717180
## 1021 0.0101443856 2.331475e-03 0.99777627 3.678058e-06 0.9999465406
## 1022 0.4195674465 1.980346e-02 0.96502850 2.034793e-01 0.6208624183
## 1026 0.0921685878 9.994161e-01 0.90242408 9.999825e-01 0.9857646140
## 1030 0.2701551992 9.294351e-01 0.92373170 9.994147e-01 0.9531528376
## 1031 0.0162676212 9.999996e-01 0.89614469 9.998693e-01 0.9999880041
## 1042 0.8413270725 3.025909e-05 0.97642855 7.046937e-11 0.0183651742
## 1046 0.5369502475 9.505959e-03 0.94194742 9.982493e-01 0.0024822692
## 1047 0.9361827987 4.009255e-04 0.91288779 6.211563e-02 0.0006764330
## 1049 0.4459535742 1.137652e-04 0.98211144 7.637851e-04 0.0171259158
## 1050 0.0136989979 1.159875e-03 0.99640477 1.309008e-01 0.9833293367
## 1052 0.0197718835 4.792967e-03 0.99262752 9.999921e-01 0.8974199035
## 1053 0.0452319334 1.446622e-02 0.98471154 9.999974e-01 0.2002111497
## 1055 0.6994278374 1.613372e-04 0.96413085 3.959029e-01 0.0024387066
## 1057 0.0893315447 2.271398e-03 0.98608363 9.979249e-01 0.1290097852
## 1061 0.0020399523 1.000000e+00 0.95285783 9.999987e-01 0.9999999997
## 1065 0.0016251598 1.000000e+00 0.62416789 9.654187e-01 1.0000000000
## 1072 0.0257874947 9.999999e-01 0.85588643 9.999999e-01 0.9999990778
## 1075 0.7351931788 4.730955e-03 0.95370539 4.436096e-04 0.2404459507
## 1076 0.8460612485 6.956524e-01 0.82941676 8.935388e-01 0.3917634708
## 1079 0.3502568761 9.998747e-01 0.78789639 9.999625e-01 0.9912549415
## 1080 0.7946252184 4.770929e-02 0.89800154 9.873863e-01 0.0322104093
## 1081 0.6567302470 8.092857e-05 0.97584673 5.500763e-05 0.0065851600
## 1088 0.8732224268 3.664085e-02 0.87697268 9.521777e-01 0.0145864098
## 1089 0.8889556096 6.316340e-05 0.96235932 3.616099e-08 0.0036626172
## 1091 0.2032595964 8.780448e-01 0.93834310 9.997605e-01 0.9419023549
## 1097 0.0262713445 2.509411e-02 0.99510564 2.461689e-05 0.9999769875
## 1100 0.1422992279 9.974634e-01 0.89545295 9.999885e-01 0.8860033745
## 1104 0.0079490941 9.360195e-04 0.99811897 3.651292e-03 0.9999718876
## 1105 0.0458508079 1.325184e-02 0.98776882 9.998805e-01 0.8374808924
## 1108 0.9597712082 4.835650e-04 0.89015867 5.328640e-02 0.0003992307
## 1110 0.6456363897 2.542316e-04 0.97223904 2.662900e-04 0.0191259932
## 1113 0.0107170137 2.119649e-03 0.99504148 9.999914e-01 0.9029017660
## 1114 0.0287456902 8.794817e-03 0.98852339 9.999966e-01 0.2226766586
## 1118 0.1093472004 5.000542e-03 0.98306728 9.976529e-01 0.1914117456
## 1123 0.3286406299 4.319100e-03 0.97688800 6.224134e-01 0.7867112341
## 1124 0.8472906004 6.326536e-02 0.89198289 3.992058e-01 0.0880752920
## 1125 0.0974502630 1.000000e+00 0.76902103 9.996059e-01 0.9999997647
## 1129 0.1567968473 1.251279e-03 0.98752752 4.821308e-02 0.6192292222
## 1130 0.5696007070 1.163477e-01 0.93032899 9.241827e-01 0.1931951649
## 1137 0.5862703124 5.288057e-02 0.93755037 7.878801e-01 0.1447430444
## 1138 0.0419459086 9.999543e-01 0.90844153 9.999853e-01 0.9992275876
## 1139 0.0072059605 1.000000e+00 0.88073998 9.999932e-01 0.9999998867
## 1140 0.0526013601 9.999403e-01 0.89874087 9.999974e-01 0.9986686746
## 1142 0.4924503177 3.887646e-05 0.98252208 3.130237e-04 0.0027525520
## 1143 0.0006909653 3.382826e-03 0.99932090 4.260294e-05 0.9999982218
## 1149 0.5409561310 2.384752e-02 0.93652527 9.991694e-01 0.0120457661
## 1150 0.7771083310 2.884034e-05 0.97427933 3.635913e-07 0.0015539644
## 1170 0.9515110344 1.300302e-04 0.92850971 5.299918e-05 0.0011308369
## 1172 0.0122295084 1.145208e-03 0.99643878 1.959065e-01 0.9688493791
## 1175 0.0130198609 9.142703e-03 0.99175420 9.999995e-01 0.3714090140
## 1176 0.0781484675 1.380296e-03 0.98581248 9.998189e-01 0.0130550452
## 1177 0.5385418970 8.015003e-05 0.97494041 5.916081e-01 0.0016443884
## 1178 0.3822599788 2.032011e-04 0.97880478 5.640866e-01 0.0054463732
## 1183 0.0012761721 1.000000e+00 0.95078893 9.999997e-01 0.9999999999
## 1184 0.0352756840 1.977574e-03 0.99333084 9.499838e-01 0.9589463365
## 1194 0.0022338204 1.000000e+00 0.93076191 1.000000e+00 0.9999999702
## 1196 0.1171007055 7.098865e-05 0.99137714 3.828789e-01 0.0285203925
## 1197 0.1610518087 4.813372e-04 0.98989267 3.557522e-04 0.5306013619
## 1199 0.0321682571 9.998895e-01 0.92482873 9.999956e-01 0.9987247443
## 1200 0.0036254953 1.000000e+00 0.91383485 9.999956e-01 0.9999998779
## 1202 0.3739329736 1.968228e-02 0.95567736 9.993305e-01 0.0450724048
## 1204 0.0005318985 1.662467e-03 0.99944443 6.977584e-05 0.9999974646
## 1208 0.0003137104 1.000000e+00 0.93193815 9.997713e-01 0.9999999999
## 1215 0.0011139634 9.999999e-01 0.95899549 9.999227e-01 0.9999987099
## 1218 0.8765073292 3.679381e-05 0.96727634 1.263787e-08 0.0028379227
## 1219 0.0049546301 3.871623e-03 0.99847516 3.190309e-07 0.9999951412
## 1220 0.0157850348 2.325431e-01 0.98833735 9.999875e-01 0.9900450952
## 1231 0.9159204716 6.357811e-05 0.94950368 5.420008e-05 0.0012939919
## 1237 0.0457099439 5.299860e-04 0.99040307 9.997340e-01 0.0112340251
## 1240 0.0523379955 7.177292e-04 0.99106481 9.934252e-01 0.1238086577
## 1242 0.0868236548 8.393873e-01 0.96308964 9.998497e-01 0.9884511210
## 1245 0.0194355865 6.981358e-04 0.99539581 9.897865e-01 0.9313837087
## 1246 0.3551113588 2.156443e-03 0.97433945 4.371098e-01 0.0815167575
## 1250 0.0142423391 2.338171e-01 0.98655966 9.999999e-01 0.9350344734
## 1256 0.0586603136 6.790194e-02 0.97854265 9.999997e-01 0.5243439241
## 1260 0.0299303233 9.999036e-01 0.92761854 9.999904e-01 0.9991250361
## 1262 0.0289698389 9.998596e-01 0.93010392 9.999974e-01 0.9987884741
## 1271 0.3572329758 1.488751e-02 0.95837348 9.980604e-01 0.0253553767
## 1272 0.6750087660 1.565863e-05 0.98141563 4.902080e-07 0.0023382565
## 1274 0.0600329271 2.698491e-01 0.97747549 9.997238e-01 0.9096400718
## 1276 0.0008558495 9.999999e-01 0.96216736 9.998910e-01 0.9999992717
## 1283 0.0125855446 9.990211e-01 0.96042567 9.999905e-01 0.9915653242
## 1289 0.0175917162 4.721464e-02 0.98754164 9.999993e-01 0.2994180361
## 1292 0.9006518062 5.099340e-05 0.95366424 1.209273e-04 0.0010845219
## 1298 0.0366914256 3.958010e-04 0.99152603 9.998332e-01 0.0091809553
## 1300 0.3090323943 8.192572e-05 0.98327960 7.594327e-01 0.0030673376
## 1304 0.0046075855 1.000000e+00 0.92696180 9.999360e-01 0.9999999989
## 1306 0.0192521373 6.282000e-04 0.99547898 9.871254e-01 0.9214963388
## 1308 0.0236777255 9.999082e-01 0.94341552 9.999731e-01 0.9999588082
## 1316 0.0102888327 1.000000e+00 0.85666680 9.999999e-01 0.9999999539
## 1320 0.9005361737 2.906200e-01 0.83856446 2.774859e-01 0.1498045918
## 1323 0.1284321386 9.999642e-01 0.84703560 9.999848e-01 0.9983346244
## 1326 0.0039085539 1.445785e-02 0.99816986 2.322793e-05 0.9999962195
## 1329 0.0428251905 1.000000e+00 0.74833109 9.992040e-01 0.9999998032
## 1330 0.0013407472 1.000000e+00 0.83561383 9.950102e-01 1.0000000000
## 1332 0.7614363970 5.205761e-02 0.89773706 9.970922e-01 0.0141330379
## 1334 0.1035296568 6.286003e-03 0.99032790 1.570752e-04 0.9936036922
## 1335 0.3898528534 4.531724e-01 0.93437369 9.975169e-01 0.7511535067
## 1337 0.0060718217 1.000000e+00 0.88260926 9.996061e-01 0.9999996505
## 1338 0.4858275540 9.548605e-01 0.85383632 9.999053e-01 0.1736719258
## 1340 0.9728922589 8.510383e-05 0.92802857 3.270867e-09 0.0012917873
## 1342 0.1434290325 8.686148e-01 0.95333336 9.998906e-01 0.9942354483
## 1345 0.9528916865 8.056247e-03 0.83685755 8.967202e-01 0.0007165545
## 1347 0.9634042097 6.842771e-05 0.95125888 1.095706e-12 0.0118549540
## 1348 0.0157694516 6.507469e-04 0.99791420 1.674530e-05 0.9999849906
## 1354 0.8017890896 2.027612e-04 0.96324948 2.158548e-05 0.0088902317
## 1356 0.0044296701 7.647723e-05 0.99877073 8.491249e-01 0.9997546141
## 1358 0.0341893943 1.928794e-02 0.98588443 9.999987e-01 0.2744021307
## 1360 0.7941670223 1.911324e-04 0.95463607 1.838092e-01 0.0014926732
## 1361 0.6549518048 3.826324e-04 0.96265647 3.562835e-01 0.0032280474
## 1362 0.1807455224 3.593974e-03 0.97947418 9.843387e-01 0.0957567185
## 1364 0.3717659364 9.783736e-01 0.89827949 9.987498e-01 0.9882396545
## 1365 0.0291856956 1.000000e+00 0.80126613 9.992983e-01 0.9999999994
## 1366 0.0028413831 1.000000e+00 0.93259021 9.999966e-01 0.9999999998
## 1370 0.0016538437 1.000000e+00 0.62772768 9.310225e-01 1.0000000000
## 1372 0.0701382674 6.291950e-01 0.96735027 9.999993e-01 0.9602034768Round of value
prediction <- sapply(predicted.neuralnet$net.result,round)prediction## [1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [38] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [75] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [112] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [149] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [186] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [223] 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [260] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [297] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [334] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [371] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [408] 1 1 1 1 1Head of the prediction
head(prediction)## [1] 0 0 0 0 0 0Table
table(prediction,test$Class)##
## prediction 0 1
## 0 229 0
## 1 0 183Comparing the models
library(randomForest)## randomForest 4.6-14## Type rfNews() to see new features/changes/bug fixes.##
## Attaching package: 'randomForest'## The following object is masked from 'package:ggplot2':
##
## margin#In the random forest model the feature should be factored
df$Class <- factor(df$Class)Train and split data
library(caTools)
set.seed(101)
sample <- sample.split(df$Class,SplitRatio = 0.7)
train <- subset(df,sample == T)
test <- subset(df,sample == F)Building a model
model <-randomForest(Class ~ Image.Var + Image.Skew + Image.Curt + Entropy,data = train)prediction done by the model
predicted.random <- predict(model,test[,1:4])Table for prediction
table(predicted.random,test$Class)##
## predicted.random 0 1
## 0 227 1
## 1 2 182