—– MULTINOMIAL —–
### Load Package nnet
library(nnet)
wine <- read.csv("d:/Downloads/Tugas Anmul/wine_dataset.csv")
head(wine)
## Alcohol Malicacid Ash Alcalinity_of_ash Magnesium Total_phenols Flavanoids
## 1 14.23 1.71 2.43 15.6 127 2.80 3.06
## 2 13.20 1.78 2.14 11.2 100 2.65 2.76
## 3 13.16 2.36 2.67 18.6 101 2.80 3.24
## 4 14.37 1.95 2.50 16.8 113 3.85 3.49
## 5 13.24 2.59 2.87 21.0 118 2.80 2.69
## 6 14.20 1.76 2.45 15.2 112 3.27 3.39
## Nonflavanoid_phenols Proanthocyanins Color_intensity Hue
## 1 0.28 2.29 5.64 1.04
## 2 0.26 1.28 4.38 1.05
## 3 0.30 2.81 5.68 1.03
## 4 0.24 2.18 7.80 0.86
## 5 0.39 1.82 4.32 1.04
## 6 0.34 1.97 6.75 1.05
## X0D280_0D315_of_diluted_wines Proline label
## 1 3.92 1065 1
## 2 3.40 1050 1
## 3 3.17 1185 1
## 4 3.45 1480 1
## 5 2.93 735 1
## 6 2.85 1450 1
### Fit Model Multinomial
model <- multinom(label ~ ., data=wine, trace = FALSE)
summary(model)
## Call:
## multinom(formula = label ~ ., data = wine, trace = FALSE)
##
## Coefficients:
## (Intercept) Alcohol Malicacid Ash Alcalinity_of_ash Magnesium
## 2 848.4648 -50.4198 -16.82837 -376.29272 30.77966 -0.3187808
## 3 -149.9645 61.7616 -14.00633 -93.30316 28.10216 -4.2882308
## Total_phenols Flavanoids Nonflavanoid_phenols Proanthocyanins Color_intensity
## 2 115.4110 -93.03559 358.9488 100.5827 -24.09276
## 3 267.9405 -256.98401 -389.8206 151.4916 37.77146
## Hue X0D280_0D315_of_diluted_wines Proline
## 2 442.3062 -26.29891 -0.5581035
## 3 -220.3293 -166.22775 -0.4108165
##
## Std. Errors:
## (Intercept) Alcohol Malicacid Ash Alcalinity_of_ash Magnesium
## 2 0.01821017 0.1939145 0.02173148 0.0671974 0.6027867 2.334497
## 3 0.01299639 0.1670037 0.04249821 0.0335307 0.2859207 1.377618
## Total_phenols Flavanoids Nonflavanoid_phenols Proanthocyanins
## 2 0.07765428 0.150396975 0.006888908 0.04579758
## 3 0.02144405 0.007797837 0.007797837 0.01247654
## Color_intensity Hue X0D280_0D315_of_diluted_wines Proline
## 2 0.11467089 0.01770827 0.08758263 7.118306
## 3 0.07251988 0.01130686 0.02742239 7.407945
##
## Residual Deviance: 4.22418e-06
## AIC: 56
### Prediksi label dari Model
predicted_label <- predict(model, newdata = wine)
head(predicted_label)
## [1] 1 1 1 1 1 1
## Levels: 1 2 3
### Menghitung akurasi prediki
mean(predicted_label == wine$label)
## [1] 1
### Confusion matrix prediksi vs Label aktual
table(predicted = predicted_label, actual = wine$label)
## actual
## predicted 1 2 3
## 1 59 0 0
## 2 0 71 0
## 3 0 0 48
—– ORDINAL —–
### Load
library(MASS)
library(ordinal)
##
## Attaching package: 'ordinal'
## The following object is masked _by_ '.GlobalEnv':
##
## wine
library(pscl)
## Classes and Methods for R originally developed in the
## Political Science Computational Laboratory
## Department of Political Science
## Stanford University (2002-2015),
## by and under the direction of Simon Jackman.
## hurdle and zeroinfl functions by Achim Zeileis.
wine <- read.csv("d:/Downloads/Tugas Anmul/wine_quality_dataset.csv")
head(wine)
## fixed_acidity volatile_acidity citric_acid residual_sugar chlorides
## 1 7.4 0.70 0.00 1.9 0.076
## 2 7.8 0.88 0.00 2.6 0.098
## 3 7.8 0.76 0.04 2.3 0.092
## 4 11.2 0.28 0.56 1.9 0.075
## 5 7.4 0.70 0.00 1.9 0.076
## 6 7.4 0.66 0.00 1.8 0.075
## free_sulfur_dioxide total_sulfur_dioxide density pH sulphates alcohol label
## 1 11 34 0.9978 3.51 0.56 9.4 5
## 2 25 67 0.9968 3.20 0.68 9.8 5
## 3 15 54 0.9970 3.26 0.65 9.8 5
## 4 17 60 0.9980 3.16 0.58 9.8 6
## 5 11 34 0.9978 3.51 0.56 9.4 5
## 6 13 40 0.9978 3.51 0.56 9.4 5
### Ubah Variabel Target menjadi Faktor Ordinal
wine$label <- factor(wine$label, ordered = TRUE)
head(wine)
## fixed_acidity volatile_acidity citric_acid residual_sugar chlorides
## 1 7.4 0.70 0.00 1.9 0.076
## 2 7.8 0.88 0.00 2.6 0.098
## 3 7.8 0.76 0.04 2.3 0.092
## 4 11.2 0.28 0.56 1.9 0.075
## 5 7.4 0.70 0.00 1.9 0.076
## 6 7.4 0.66 0.00 1.8 0.075
## free_sulfur_dioxide total_sulfur_dioxide density pH sulphates alcohol label
## 1 11 34 0.9978 3.51 0.56 9.4 5
## 2 25 67 0.9968 3.20 0.68 9.8 5
## 3 15 54 0.9970 3.26 0.65 9.8 5
## 4 17 60 0.9980 3.16 0.58 9.8 6
## 5 11 34 0.9978 3.51 0.56 9.4 5
## 6 13 40 0.9978 3.51 0.56 9.4 5
str(wine)
## 'data.frame': 6497 obs. of 12 variables:
## $ fixed_acidity : num 7.4 7.8 7.8 11.2 7.4 7.4 7.9 7.3 7.8 7.5 ...
## $ volatile_acidity : num 0.7 0.88 0.76 0.28 0.7 0.66 0.6 0.65 0.58 0.5 ...
## $ citric_acid : num 0 0 0.04 0.56 0 0 0.06 0 0.02 0.36 ...
## $ residual_sugar : num 1.9 2.6 2.3 1.9 1.9 1.8 1.6 1.2 2 6.1 ...
## $ chlorides : num 0.076 0.098 0.092 0.075 0.076 0.075 0.069 0.065 0.073 0.071 ...
## $ free_sulfur_dioxide : num 11 25 15 17 11 13 15 15 9 17 ...
## $ total_sulfur_dioxide: num 34 67 54 60 34 40 59 21 18 102 ...
## $ density : num 0.998 0.997 0.997 0.998 0.998 ...
## $ pH : num 3.51 3.2 3.26 3.16 3.51 3.51 3.3 3.39 3.36 3.35 ...
## $ sulphates : num 0.56 0.68 0.65 0.58 0.56 0.56 0.46 0.47 0.57 0.8 ...
## $ alcohol : num 9.4 9.8 9.8 9.8 9.4 9.4 9.4 10 9.5 10.5 ...
## $ label : Ord.factor w/ 7 levels "3"<"4"<"5"<"6"<..: 3 3 3 4 3 3 3 5 5 3 ...
### Eksplorasi data
table(wine$label)
##
## 3 4 5 6 7 8 9
## 30 216 2138 2836 1079 193 5
summary(wine)
## fixed_acidity volatile_acidity citric_acid residual_sugar
## Min. : 3.800 Min. :0.0800 Min. :0.0000 Min. : 0.600
## 1st Qu.: 6.400 1st Qu.:0.2300 1st Qu.:0.2500 1st Qu.: 1.800
## Median : 7.000 Median :0.2900 Median :0.3100 Median : 3.000
## Mean : 7.215 Mean :0.3397 Mean :0.3186 Mean : 5.443
## 3rd Qu.: 7.700 3rd Qu.:0.4000 3rd Qu.:0.3900 3rd Qu.: 8.100
## Max. :15.900 Max. :1.5800 Max. :1.6600 Max. :65.800
##
## chlorides free_sulfur_dioxide total_sulfur_dioxide density
## Min. :0.00900 Min. : 1.00 Min. : 6.0 Min. :0.9871
## 1st Qu.:0.03800 1st Qu.: 17.00 1st Qu.: 77.0 1st Qu.:0.9923
## Median :0.04700 Median : 29.00 Median :118.0 Median :0.9949
## Mean :0.05603 Mean : 30.53 Mean :115.7 Mean :0.9947
## 3rd Qu.:0.06500 3rd Qu.: 41.00 3rd Qu.:156.0 3rd Qu.:0.9970
## Max. :0.61100 Max. :289.00 Max. :440.0 Max. :1.0390
##
## pH sulphates alcohol label
## Min. :2.720 Min. :0.2200 Min. : 8.00 3: 30
## 1st Qu.:3.110 1st Qu.:0.4300 1st Qu.: 9.50 4: 216
## Median :3.210 Median :0.5100 Median :10.30 5:2138
## Mean :3.219 Mean :0.5313 Mean :10.49 6:2836
## 3rd Qu.:3.320 3rd Qu.:0.6000 3rd Qu.:11.30 7:1079
## Max. :4.010 Max. :2.0000 Max. :14.90 8: 193
## 9: 5
### Fit Model Regresi Ordinal dengan clm()
model <- clm(label ~ ., data = wine)
## Warning: (3) Model is nearly unidentifiable: large eigenvalue ratio
## - Rescale variables?
## In addition: Absolute and relative convergence criteria were met
summary(model)
## formula:
## label ~ fixed_acidity + volatile_acidity + citric_acid + residual_sugar + chlorides + free_sulfur_dioxide + total_sulfur_dioxide + density + pH + sulphates + alcohol
## data: wine
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 6497 -7081.90 14197.79 8(0) 8.69e-10 2.2e+11
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## fixed_acidity 1.881e-01 4.127e-02 4.558 5.17e-06 ***
## volatile_acidity -3.635e+00 2.143e-01 -16.963 < 2e-16 ***
## citric_acid -2.865e-01 2.088e-01 -1.373 0.170
## residual_sugar 1.127e-01 1.364e-02 8.263 < 2e-16 ***
## chlorides -1.353e+00 8.857e-01 -1.528 0.127
## free_sulfur_dioxide 1.787e-02 2.065e-03 8.656 < 2e-16 ***
## total_sulfur_dioxide -7.079e-03 7.340e-04 -9.645 < 2e-16 ***
## density -1.447e+02 3.207e+01 -4.512 6.42e-06 ***
## pH 1.249e+00 2.394e-01 5.216 1.83e-07 ***
## sulphates 2.096e+00 2.006e-01 10.446 < 2e-16 ***
## alcohol 7.282e-01 4.489e-02 16.221 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## 3|4 -137.01 31.42 -4.361
## 4|5 -134.83 31.42 -4.291
## 5|6 -131.65 31.42 -4.190
## 6|7 -129.04 31.42 -4.107
## 7|8 -126.71 31.42 -4.033
## 8|9 -122.95 31.42 -3.913
### Pseudo R-squared
pR2(model)
## fitting null model for pseudo-r2
## llh llhNull G2 McFadden r2ML
## -7081.8957543 -8275.4239921 2387.0564755 0.1442256 0.3074737
## r2CU
## 0.3335869
### Uji Asumsi Proportional Odds
nominal_test(model)
## Tests of nominal effects
##
## formula: label ~ fixed_acidity + volatile_acidity + citric_acid + residual_sugar + chlorides + free_sulfur_dioxide + total_sulfur_dioxide + density + pH + sulphates + alcohol
## Df logLik AIC LRT Pr(>Chi)
## <none> -7081.9 14198
## fixed_acidity 5 -7076.6 14197 10.520 0.0617725 .
## volatile_acidity 5 -7081.3 14207 1.233 0.9416385
## citric_acid 5 -7080.0 14204 3.873 0.5677833
## residual_sugar 5 -7070.1 14184 23.544 0.0002656 ***
## chlorides
## free_sulfur_dioxide 5 -7061.4 14167 40.990 9.427e-08 ***
## total_sulfur_dioxide 5 -7068.9 14182 26.043 8.753e-05 ***
## density
## pH 5 -7079.0 14202 5.715 0.3349477
## sulphates 5 -7069.9 14184 23.991 0.0002180 ***
## alcohol 5 -7030.7 14105 102.476 < 2.2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
### Prediksi Label dengan Model
predicted_label1 <- predict(model, newdata = wine)$fit
head(predicted_label1)
## [1] 0.6591971 0.6607785 0.6563265 0.5036198 0.6591971 0.6541752
### Confusion Matrix Prediksi vs Aktual
conf_matrix <- table(Predicted = predicted_label1, Actual = wine$label)
print(conf_matrix)
## Actual
## Predicted 3 4 5 6 7 8 9
## 0.000122282711414632 1 0 0 0 0 0 0
## 0.000316853335227942 1 0 0 0 0 0 0
## 0.000404526089094624 1 0 0 0 0 0 0
## 0.000527505903255132 1 0 0 0 0 0 0
## 0.000587967277738299 0 0 0 0 0 0 1
## 0.000715492095071078 1 0 0 0 0 0 0
## 0.000789980215840524 1 0 0 0 0 0 0
## 0.000949591984407048 1 0 0 0 0 0 0
## 0.00103614992618648 0 1 0 0 0 0 0
## 0.00134420935505395 1 0 0 0 0 0 0
## 0.00149026049549702 1 0 0 0 0 0 0
## 0.00180550167373528 1 0 0 0 0 0 0
## 0.00194264097042525 1 0 0 0 0 0 0
## 0.00204340517965928 1 0 0 0 0 0 0
## 0.00222354606253921 0 0 0 0 0 0 1
## 0.00227294634455539 1 0 0 0 0 0 0
## 0.0023660291934391 0 1 0 0 0 0 0
## 0.00277671124185552 0 0 0 0 0 0 1
## 0.00300351492610705 1 0 0 0 0 0 0
## 0.00303946938961124 0 1 0 0 0 0 0
## 0.00318691874239765 0 0 1 0 0 0 0
## 0.00338497768143508 0 0 0 0 0 0 1
## 0.00339517691455056 0 0 0 0 0 0 1
## 0.0034559581293969 0 0 0 0 0 1 0
## 0.00390930208960762 0 1 0 0 0 0 0
## 0.00391854238375578 0 1 0 0 0 0 0
## 0.00401868635105028 0 1 0 0 0 0 0
## 0.00404317543609508 1 0 0 0 0 0 0
## 0.00418324312134486 0 1 0 0 0 0 0
## 0.00476494540203035 0 1 0 0 0 0 0
## 0.00507381809183032 0 1 0 0 0 0 0
## 0.00523949316527543 0 1 0 0 0 0 0
## 0.005306983814164 1 0 0 0 0 0 0
## 0.0060087288211518 0 1 0 0 0 0 0
## 0.00640165247283609 0 1 0 0 0 0 0
## 0.0064614124930356 0 1 0 0 0 0 0
## 0.00656754571545181 0 0 0 0 0 8 0
## 0.00682568973889791 0 1 0 0 0 0 0
## 0.00689664232991512 0 1 0 0 0 0 0
## 0.00707733902501118 0 0 0 0 0 6 0
## 0.00766253486337422 0 1 0 0 0 0 0
## 0.00786159779153194 0 1 0 0 0 0 0
## 0.00861191017691044 0 1 0 0 0 0 0
## 0.00880550638008649 0 1 0 0 0 0 0
## 0.00890325350115397 0 1 0 0 0 0 0
## 0.00893505107561416 0 0 0 0 0 1 0
## 0.00911041177815803 0 1 0 0 0 0 0
## 0.00939765576095132 0 1 0 0 0 0 0
## 0.00961734735060079 1 0 0 0 0 0 0
## 0.00983008554065205 0 1 0 0 0 0 0
## 0.00994934029974383 0 1 0 0 0 0 0
## 0.0104862645630282 0 1 0 0 0 0 0
## 0.0111424653037275 0 1 0 0 0 0 0
## 0.0111924165676049 0 1 0 0 0 0 0
## 0.0112229775949635 1 0 0 0 0 0 0
## 0.0115135594433366 0 1 0 0 0 0 0
## 0.0115930797757488 0 0 0 0 0 1 0
## 0.011981880106539 0 2 0 0 0 0 0
## 0.0123058862314228 0 1 0 0 0 0 0
## 0.0124247249477221 0 1 0 0 0 0 0
## 0.0125202693722711 0 1 0 0 0 0 0
## 0.0126031044259231 0 1 0 0 0 0 0
## 0.0126236364146763 0 1 0 0 0 0 0
## 0.0128795358737321 0 1 0 0 0 0 0
## 0.0132249370482356 1 0 0 0 0 0 0
## 0.0132578750237462 0 0 0 0 0 1 0
## 0.0133242367196393 0 1 0 0 0 0 0
## 0.013531822141299 0 1 0 0 0 0 0
## 0.0138246150877519 0 1 0 0 0 0 0
## 0.0140183509910293 1 0 0 0 0 0 0
## 0.0140190389468739 0 1 0 0 0 0 0
## 0.0145390464481038 0 1 0 0 0 0 0
## 0.0149473220149028 0 0 0 0 1 0 0
## 0.0150594245153389 0 1 0 0 0 0 0
## 0.015203327597699 0 0 0 0 1 0 0
## 0.0152742538748067 0 1 0 0 0 0 0
## 0.0153773296017908 0 1 0 0 0 0 0
## 0.0153874704985126 0 1 0 0 0 0 0
## 0.0156814420678983 0 1 0 0 0 0 0
## 0.0157023779208285 0 0 0 0 0 2 0
## 0.0157892205974791 0 1 0 0 0 0 0
## 0.0162511209108014 0 1 0 0 0 0 0
## 0.0162596249406005 0 0 1 0 0 0 0
## 0.0164634920653111 0 0 0 0 0 1 0
## 0.016488053000485 0 1 0 0 0 0 0
## 0.0166478280956141 0 1 0 0 0 0 0
## 0.0166876466078646 0 1 0 0 0 0 0
## 0.0169594154896456 0 1 0 0 0 0 0
## 0.0170879302525198 0 0 0 0 1 0 0
## 0.0174924783544964 0 1 0 0 0 0 0
## 0.0175381512457118 0 1 0 0 0 0 0
## 0.0175539818251068 0 1 0 0 0 0 0
## 0.0177901446806536 0 0 0 0 0 2 0
## 0.0180287784628252 0 0 0 0 0 1 0
## 0.0184364152180011 1 0 0 0 0 0 0
## 0.0184867209291656 0 1 0 0 0 0 0
## 0.0187692827540936 1 0 0 0 0 0 0
## 0.0190640569328582 0 0 0 0 0 1 0
## 0.0191412568568514 0 1 0 0 0 0 0
## 0.019809147962962 0 0 0 0 0 1 0
## 0.0198450021722538 0 1 0 0 0 0 0
## 0.0199633982177489 0 1 0 0 0 0 0
## 0.0200551219796292 0 0 0 0 0 2 0
## 0.02012683889616 0 0 0 0 0 2 0
## 0.0203032530285222 0 1 0 0 0 0 0
## 0.020503896972849 0 1 0 0 0 0 0
## 0.0205567531643082 0 1 0 0 0 0 0
## 0.0206626571476366 1 0 0 0 0 0 0
## 0.0206796635397478 0 0 0 0 0 1 0
## 0.0207140740856769 0 1 0 0 0 0 0
## 0.0207608112628595 0 1 0 0 0 0 0
## 0.0208886138090093 0 1 0 0 0 0 0
## 0.0210438169314388 0 1 0 0 0 0 0
## 0.0211892015696618 0 0 0 0 0 1 0
## 0.021306564746548 0 1 0 0 0 0 0
## 0.0213561597051592 0 0 0 0 0 1 0
## 0.0215253579401882 0 1 0 0 0 0 0
## 0.0222171384904319 0 0 0 0 0 1 0
## 0.0222861672459175 0 1 0 0 0 0 0
## 0.0227447047429179 0 1 0 0 0 0 0
## 0.0231167464873919 0 0 0 0 0 1 0
## 0.0234195092373135 0 1 0 0 0 0 0
## 0.0235390129606481 0 1 0 0 0 0 0
## 0.0239243543177526 0 0 0 0 0 1 0
## 0.0247115386404775 0 0 0 0 1 0 0
## 0.0250880804905956 1 0 0 0 0 0 0
## 0.0253848443965706 0 1 0 0 0 0 0
## 0.0260020761151012 0 0 0 0 0 1 0
## 0.026296733921233 0 0 0 0 0 1 0
## 0.0265422262481 0 0 0 0 0 2 0
## 0.0265697661169182 0 1 0 0 0 0 0
## 0.0267283693727577 0 0 1 0 0 0 0
## 0.0271237542061561 0 1 0 0 0 0 0
## 0.0272015550123692 1 0 0 0 0 0 0
## 0.0272239943587009 0 0 0 0 0 1 0
## 0.0275001270712297 0 1 0 0 0 0 0
## 0.0275121066859793 0 0 0 0 0 2 0
## 0.0279784369831383 0 0 0 0 0 3 0
## 0.0282068854724567 0 1 0 0 0 0 0
## 0.0284360000920473 0 1 0 0 0 0 0
## 0.0285874277438933 0 1 0 0 0 0 0
## 0.0290072297819723 0 0 0 0 0 1 0
## 0.0291490567002521 0 0 0 0 1 0 0
## 0.0292023755906866 0 0 0 0 0 1 0
## 0.029378937774328 0 0 0 0 0 1 0
## 0.0295592678270892 0 2 0 0 0 0 0
## 0.029993328055306 0 1 0 0 0 0 0
## 0.0302658191141604 0 0 0 0 0 2 0
## 0.0303455141249358 0 1 0 0 0 0 0
## 0.0304157762865561 0 1 0 0 0 0 0
## 0.0309143702203951 0 0 0 0 0 1 0
## 0.0309650032210881 0 1 0 0 0 0 0
## 0.0310180682749287 0 1 0 0 0 0 0
## 0.0314176020954931 0 0 0 0 0 2 0
## 0.031901920894796 0 1 0 0 0 0 0
## 0.032151070216859 0 0 0 0 0 2 0
## 0.0324949217383686 0 0 0 0 0 1 0
## 0.0325112516895275 0 0 0 0 0 1 0
## 0.0325904267633328 0 1 0 0 0 0 0
## 0.0327279293844385 0 1 0 0 0 0 0
## 0.0331649788883254 0 1 0 0 0 0 0
## 0.0333081520632549 0 0 0 0 4 0 0
## 0.0339012487286869 0 0 0 0 1 0 0
## 0.034159502389547 0 1 0 0 0 0 0
## 0.0344645485635705 0 0 0 0 1 0 0
## 0.0347516871885673 0 0 0 0 0 1 0
## 0.0349320778712745 0 1 0 0 0 0 0
## 0.0349490259904891 0 0 0 0 0 3 0
## 0.0350350643990404 0 0 0 0 0 2 0
## 0.0351903681490958 0 0 0 0 0 2 0
## 0.035230335114788 0 0 0 0 0 2 0
## 0.0353177766764189 0 0 0 0 1 0 0
## 0.0355754900334523 1 0 0 0 0 0 0
## 0.0361706050919858 0 0 0 0 0 1 0
## 0.0361734226008244 0 0 0 0 0 1 0
## 0.0363740227512126 0 1 0 0 0 0 0
## 0.0367052231341951 0 0 0 0 1 0 0
## 0.0368742213340442 0 0 0 0 0 1 0
## 0.0369044548995592 0 0 0 0 0 2 0
## 0.0371037431562024 0 1 0 0 0 0 0
## 0.0371262040243996 0 1 0 0 0 0 0
## 0.0371491952319872 0 0 0 0 0 1 0
## 0.0372618819381727 0 1 0 0 0 0 0
## 0.0374797025492106 0 0 0 0 0 1 0
## 0.037705931747558 0 1 0 0 0 0 0
## 0.0378334963594826 0 0 0 0 1 0 0
## 0.0381477668764264 0 0 0 0 0 1 0
## 0.038957999841642 0 1 0 0 0 0 0
## 0.0390154990578288 0 1 0 0 0 0 0
## 0.0393183322213216 0 1 0 0 0 0 0
## 0.0402536993317867 1 0 0 0 0 0 0
## 0.0404323647831351 0 1 0 0 0 0 0
## 0.0409521661539149 0 0 1 0 0 0 0
## 0.0410594269375089 0 0 0 0 0 1 0
## 0.0413672799215969 0 1 0 0 0 0 0
## 0.0415263325896762 0 0 0 0 1 0 0
## 0.0416854699763657 0 0 0 0 0 2 0
## 0.042072562525365 0 1 0 0 0 0 0
## 0.0425233892210231 0 0 0 0 2 0 0
## 0.042523494157778 0 1 0 0 0 0 0
## 0.0427059220074697 0 1 0 0 0 0 0
## 0.0431190139832218 0 0 0 0 7 0 0
## 0.0432061918232531 0 0 0 0 0 1 0
## 0.0434547301773044 0 0 0 0 0 1 0
## 0.0435691170898393 0 0 0 0 0 1 0
## 0.0440157979548027 0 0 0 0 0 1 0
## 0.0444010487960633 0 0 0 0 7 0 0
## 0.0444495403446603 0 1 0 0 0 0 0
## 0.0449754071039856 0 0 0 0 0 1 0
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