Building Models

training <- read.csv( "https://raw.githubusercontent.com/charlsjoseph/Data621/master/Data621-Assignment4/insurance_tf_train.csv")[-1]
test_set <- read.csv("https://raw.githubusercontent.com/charlsjoseph/Data621/master/Data621-Assignment4/insurance_tf_test.csv")[-1]

df_eval <- read.csv( "https://raw.githubusercontent.com/charlsjoseph/Data621/master/Data621-Assignment4/insurance_tf_eval.csv")[-1]

The dataset is imbalanced as we are seeing more number of negative classes than the positive classes.

We will set 0 means “No Car crash” and 1 means “Car cash”

Considering a classifer model like this, by looking at only accuracy may not give a clear picture of model goodness. I’m assuming predicting a case whether a person whether will involve into a car crash is crucial. As we have two types of errors( Type1(False positive) and Type2(False Negative)), we should always avoid both of these error. However in this case, we should focus more on reducing Type2(False Negative). That is predicting Negative when it is really positive so that we loss an opportunity to save a person’s life and as well as claim amounts. We know sensitivity/Recall is a measure of False negative rate. So we will focus on the sensitivity than the precision or accuracy.

Another metrics we will focuss is AUC(Area under curve measure) while comparing different classifers.

table(training$TARGET_FLAG)
## 
##    0    1 
## 4796 1732

We will perform 3 classifers. They are Logistic regression, KNN and Naive Bayes models.

Logistic Regression

log_classifer <- glm(TARGET_FLAG ~ ., data=training[,-2], family = "binomial")
lr_pred_prob=predict(log_classifer,newdata = test_set, type ="response" )
# consider the threshold of the linear regression classifer as 0.5
lr_pred_class  <- ifelse(lr_pred_prob > 0.5, 1, 0)

roc1 <- roc(test_set$TARGET_FLAG, lr_pred_class)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
roc1$auc
## Area under the curve: 0.6569
plot.roc(roc1,
main="Logistic Regression | ROC Curve", percent=TRUE, of="thresholds", # compute AUC (of threshold)
thresholds="best", # select the (best) threshold
print.auc = TRUE, 
print.thres="best") 

predict.lr_result <- confusionMatrix(as.factor(lr_pred_class), as.factor(test_set$TARGET_FLAG), positive = "1")
predict.lr_result
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 1100  250
##          1  112  171
##                                           
##                Accuracy : 0.7783          
##                  95% CI : (0.7574, 0.7983)
##     No Information Rate : 0.7422          
##     P-Value [Acc > NIR] : 0.0003916       
##                                           
##                   Kappa : 0.3513          
##                                           
##  Mcnemar's Test P-Value : 5.997e-13       
##                                           
##             Sensitivity : 0.4062          
##             Specificity : 0.9076          
##          Pos Pred Value : 0.6042          
##          Neg Pred Value : 0.8148          
##              Prevalence : 0.2578          
##          Detection Rate : 0.1047          
##    Detection Prevalence : 0.1733          
##       Balanced Accuracy : 0.6569          
##                                           
##        'Positive' Class : 1               
## 

KNN model

trainData1 = training[,-c(1,2)]
testData1 = test_set[,-c(1,2)]

train_lbls <- training$TARGET_FLAG
test_lbls <- test_set$TARGET_FLAG

knn_model <- knn(train = trainData1, test = testData1, cl= train_lbls,k = 7, prob = TRUE)

roc2 <- roc(test_set$TARGET_FLAG, attributes(knn_model)$prob)
## Setting levels: control = 0, case = 1
## Setting direction: controls > cases
roc2$auc
## Area under the curve: 0.618
plot.roc(roc2,
main="KNN Classifer | ROC Curve", percent=TRUE, of="thresholds", # compute AUC (of threshold)
thresholds="best", # select the (best) threshold
print.auc = TRUE, 
print.thres="best") 

predict.knn_result <- confusionMatrix(knn_model, as.factor(test_set$TARGET_FLAG), positive = "1")
predict.knn_result
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 1092  329
##          1  120   92
##                                           
##                Accuracy : 0.725           
##                  95% CI : (0.7027, 0.7466)
##     No Information Rate : 0.7422          
##     P-Value [Acc > NIR] : 0.9458          
##                                           
##                   Kappa : 0.1426          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.21853         
##             Specificity : 0.90099         
##          Pos Pred Value : 0.43396         
##          Neg Pred Value : 0.76847         
##              Prevalence : 0.25781         
##          Detection Rate : 0.05634         
##    Detection Prevalence : 0.12982         
##       Balanced Accuracy : 0.55976         
##                                           
##        'Positive' Class : 1               
## 

Naive Bayes

library(e1071)

nb_model=naiveBayes(as.factor(TARGET_FLAG) ~ ., data=training[,-2])

nm_pred_prob=predict(nb_model,newdata = test_set, type =  "raw" )
nm_pred_class=predict(nb_model,newdata = test_set, type ="class")

roc3 <- roc(as.factor(test_set$TARGET_FLAG), nm_pred_prob[,2])
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
roc3$auc
## Area under the curve: 0.7757
plot.roc(roc3,
main="Naive Bayes | ROC Curve", percent=TRUE, of="thresholds", # compute AUC (of threshold)
thresholds="best", # select the (best) threshold
print.auc = TRUE, 
print.thres="best") 

predict.nb_result <- confusionMatrix(nm_pred_class, as.factor(test_set$TARGET_FLAG), positive = "1")
predict.nb_result
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction   0   1
##          0 905 151
##          1 307 270
##                                           
##                Accuracy : 0.7195          
##                  95% CI : (0.6971, 0.7412)
##     No Information Rate : 0.7422          
##     P-Value [Acc > NIR] : 0.9824          
##                                           
##                   Kappa : 0.3462          
##                                           
##  Mcnemar's Test P-Value : 4.399e-13       
##                                           
##             Sensitivity : 0.6413          
##             Specificity : 0.7467          
##          Pos Pred Value : 0.4679          
##          Neg Pred Value : 0.8570          
##              Prevalence : 0.2578          
##          Detection Rate : 0.1653          
##    Detection Prevalence : 0.3533          
##       Balanced Accuracy : 0.6940          
##                                           
##        'Positive' Class : 1               
## 

ploting ROC of all models

plot.roc(roc1, print.auc = TRUE, 
                 col = "red") 
plot.roc(roc2 , add = TRUE,print.auc = TRUE, 
                 col = "green", print.auc.y = .4) 

plot.roc(roc3 , add = TRUE,print.auc = TRUE, 
                 col = "blue", print.auc.y = .6) 

legend("bottomright", legend=c("Model-1 - Logistic regression", "Model-2 - Knn", "Model-3 - Naive Bayes"),
col=c("red", "green", "blue"), lwd=2)

Predicting the evaluation dataset

As we are seeing above Naive Bayes gives a better AUC, Sensitivity and Accuracy. Hence we will use naive bayes model to predict the evaluation data set.

df_classifer_pred=predict(nb_model,newdata = df_eval, type ="class")
df_eval$TARGET_FLAG <- df_classifer_pred

write.csv(df_eval, "C:\\Users\\Charls\\Documents\\CunyMSDS\\Data621\\assignments\\data621\\Data621-Assignment4\\eval_results.csv")

kable(df_eval)
KIDSDRIV AGE HOMEKIDS YOJ INCOME PARENT1.Yes HOME_VAL MSTATUS.Yes SEX.z_F EDUCATION..High.School EDUCATION.Bachelors EDUCATION.Masters EDUCATION.PhD JOB.Clerical JOB.Doctor JOB.Home.Maker JOB.Lawyer JOB.Manager JOB.Professional JOB.Student JOB.z_Blue.Collar TRAVTIME CAR_USE.Private BLUEBOOK TIF CAR_TYPE.Minivan CAR_TYPE.Panel.Truck CAR_TYPE.Sports.Car CAR_TYPE.Van CAR_TYPE.z_SUV RED_CAR.yes OLDCLAIM CLM_FREQ REVOKED.Yes MVR_PTS CAR_AGE URBANICITY.Highly.Urban..Urban TARGET_FLAG
0 48 0 11 1154 0 2 0 0 0 1 0 0 0 0 0 0 1 0 0 0 26 1 703 1 0 0 0 1 0 1 1 0 0 2 10 1 0
1 40 1 11 1119 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 21 1 540 6 1 0 0 0 0 0 272 1 0 2 1 1 0
0 44 2 12 974 1 2 0 1 0 0 0 0 0 0 0 0 0 0 0 1 30 0 1189 10 0 0 0 0 1 0 1 0 0 0 10 0 0
0 35 2 NA 513 1 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 74 1 1373 6 0 0 0 0 0 0 1 0 1 0 4 0 0
0 59 0 12 1686 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 45 1 345 1 1 0 0 0 0 1 494 2 0 4 1 1 0
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2 36 2 12 233 1 1161 0 1 0 1 0 0 0 0 0 0 0 0 0 1 5 0 913 4 1 0 0 0 0 0 1 0 0 0 9 0 0
0 50 0 8 387 0 2 0 1 0 0 0 1 0 1 0 0 0 0 0 0 22 1 1075 4 0 0 1 0 0 0 1 0 0 3 1 1 0
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0 62 0 15 930 0 641 1 1 0 0 0 0 1 0 0 0 0 0 0 0 57 1 1368 4 0 0 1 0 0 0 487 2 1 2 7 1 1
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0 38 0 0 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 41 0 463 10 0 0 0 1 0 0 258 2 0 5 6 0 0
0 39 2 0 2 0 1327 1 1 0 0 0 0 0 0 1 0 0 0 0 0 36 1 1336 4 0 0 1 0 0 0 1 0 0 0 8 1 1
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0 43 1 0 2 0 1328 1 1 0 1 0 0 0 0 1 0 0 0 0 0 26 1 1317 1 0 0 0 0 1 0 1 0 0 3 7 1 1
0 64 0 15 743 0 576 1 0 1 0 0 0 0 0 0 0 0 0 0 1 23 0 300 6 0 0 0 0 1 0 337 2 0 0 1 1 1
0 60 0 9 204 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 21 0 1276 9 0 0 0 0 0 1 684 2 0 4 15 1 0
2 35 4 6 348 1 1228 0 1 0 1 0 0 0 0 0 0 0 0 0 1 27 1 630 6 0 0 0 0 1 0 449 1 0 3 1 1 1
0 52 0 11 1589 0 944 1 1 0 0 0 0 0 0 0 0 1 0 0 0 23 1 209 11 0 0 0 0 1 0 1 0 0 2 1 1 0
0 56 2 14 467 0 1270 1 0 0 0 0 1 0 0 0 0 0 0 0 0 31 0 659 1 0 0 0 1 0 1 1 0 0 0 NA 1 0
0 55 0 15 75 0 1128 1 1 0 0 1 0 0 0 0 0 1 0 0 0 18 1 155 1 0 0 0 0 1 0 1 0 1 0 15 1 0
0 26 0 8 1162 0 2 0 0 0 1 0 0 0 0 0 0 0 1 0 0 28 0 653 3 0 0 0 1 0 1 614 1 0 1 8 1 0
0 52 0 8 1695 0 834 1 0 0 0 1 0 0 0 0 1 0 0 0 0 14 1 237 1 1 0 0 0 0 0 1 0 0 4 17 1 0
0 41 0 12 109 0 1143 1 0 0 0 1 0 0 0 0 0 0 0 0 0 21 0 414 1 0 0 0 1 0 1 1 0 0 2 14 1 0
0 49 0 12 1175 0 2 0 1 0 1 0 0 0 0 0 0 0 1 0 0 5 1 158 4 0 0 0 0 1 0 1 0 0 0 1 1 0
0 30 2 NA 625 0 338 1 1 0 0 0 0 1 0 0 0 0 0 0 0 68 1 778 4 0 0 0 0 1 0 1 0 0 1 1 0 0
1 34 3 12 686 0 213 1 1 1 0 0 0 1 0 0 0 0 0 0 0 12 1 732 1 1 0 0 0 0 0 1 0 0 1 NA 1 1
0 44 0 14 998 0 623 1 1 0 0 1 0 0 0 0 0 0 0 0 0 5 0 585 4 0 0 0 0 0 0 387 1 0 4 9 1 0
0 49 0 NA 869 0 156 1 0 0 0 1 0 0 0 0 1 0 0 0 0 5 1 19 4 0 0 0 0 0 1 1 0 0 0 17 1 0
1 40 2 12 819 0 202 1 1 1 0 0 0 0 0 0 0 0 0 0 1 30 1 1405 7 0 0 0 0 1 0 143 1 0 8 1 1 1
0 26 3 9 768 0 17 1 0 0 1 0 0 0 0 0 0 0 0 0 1 37 0 1285 10 0 0 0 0 0 0 1 0 0 2 16 1 1
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0 50 0 7 1497 0 818 0 0 0 0 1 0 0 0 0 1 0 0 0 0 38 1 531 7 0 0 0 1 0 0 1 0 0 2 19 0 0
0 62 0 12 532 0 484 0 1 0 0 0 0 1 0 0 0 0 0 0 0 24 1 484 7 0 0 1 0 0 0 822 3 0 5 1 1 1
0 53 1 13 1153 0 336 1 1 0 1 0 0 0 0 0 0 0 1 0 0 41 1 807 9 1 0 0 0 0 0 1 0 0 0 13 0 0
0 44 0 4 318 0 1183 1 0 0 0 1 0 0 0 0 0 0 0 0 0 51 0 1232 4 0 0 0 0 0 0 1 0 0 0 10 1 0
0 48 1 10 1652 0 1070 1 1 0 1 0 0 0 0 0 0 1 0 0 0 35 1 327 7 0 0 0 0 1 0 811 1 0 0 10 1 0
1 45 2 17 114 0 1010 1 1 0 0 1 0 0 0 0 1 0 0 0 0 46 1 823 1 0 0 0 1 0 0 235 2 1 2 10 1 0
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0 41 0 12 1614 0 2 0 1 0 1 0 0 0 0 0 0 0 1 0 0 29 1 892 11 0 0 1 0 0 0 769 3 0 5 8 1 1
1 44 2 15 1029 0 366 1 0 0 0 0 0 0 0 0 0 0 0 0 1 29 0 38 1 0 0 0 0 0 0 419 3 0 7 1 1 1
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2 41 2 8 1 0 2 1 0 1 0 0 0 0 0 0 0 0 0 1 0 43 0 1188 1 0 0 0 0 0 1 805 1 0 5 6 0 1
0 41 2 10 1581 1 931 0 0 0 1 0 0 0 0 0 0 0 0 0 1 33 0 229 11 1 0 0 0 0 1 1 0 0 0 3 1 1
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0 51 0 10 1204 0 2 0 1 0 0 1 0 0 0 0 1 0 0 0 0 18 1 145 1 0 0 0 0 1 0 815 1 0 6 14 1 0
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0 47 0 7 1549 0 763 1 0 0 1 0 0 0 0 0 0 0 1 0 0 29 1 253 6 1 0 0 0 0 1 1 0 0 0 7 1 0
0 44 1 NA 2 0 1329 1 1 0 0 1 0 0 0 1 0 0 0 0 0 19 1 601 4 0 0 1 0 0 0 142 2 0 1 13 1 0
0 36 0 13 500 0 166 1 1 0 0 0 0 0 0 0 0 0 0 0 1 39 0 1160 1 0 0 0 0 1 0 184 2 0 9 7 1 1
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1 42 2 15 1657 0 964 1 1 0 0 0 0 0 0 0 0 0 0 0 1 32 0 617 10 1 0 0 0 0 0 664 2 0 0 8 1 1
0 55 0 11 704 0 2 0 1 1 0 0 0 0 0 1 0 0 0 0 0 27 1 412 1 0 0 0 0 1 0 607 2 1 0 1 1 1
0 43 0 7 1239 0 2 0 0 0 1 0 0 1 0 0 0 0 0 0 0 34 1 1 4 1 0 0 0 0 1 1 0 0 2 11 0 0
0 54 0 12 1377 0 675 1 1 0 0 0 0 1 0 0 0 0 0 0 0 5 1 1299 17 0 0 0 0 1 0 439 3 0 5 1 1 1
1 37 2 9 1188 0 671 1 1 0 0 0 0 0 0 0 0 1 0 0 0 28 1 47 13 0 0 0 0 1 0 36 1 0 4 11 1 0
0 44 0 12 1 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 1 32 0 57 1 0 0 0 0 1 0 1 0 0 2 8 1 1
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2 37 3 11 357 0 1214 1 0 0 1 0 0 0 0 0 0 0 0 0 1 29 1 326 6 1 0 0 0 0 1 70 3 0 0 8 0 0
0 31 2 0 2 0 2 1 1 1 0 0 0 0 0 0 0 0 0 1 0 48 1 1287 4 0 0 1 0 0 0 687 1 0 7 1 1 1
2 36 2 0 2 0 44 1 1 0 0 0 0 0 0 1 0 0 0 0 0 28 1 1160 4 1 0 0 0 0 0 399 3 1 1 9 1 1
0 54 0 12 1560 0 2 0 1 0 1 0 0 0 0 0 0 1 0 0 0 14 1 301 1 0 0 0 0 1 0 759 2 0 0 9 1 0
0 39 0 0 2 0 2 0 1 0 0 0 0 0 0 0 0 0 0 1 0 53 0 1173 1 0 0 1 0 0 0 1 0 0 0 8 0 0
1 57 2 0 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 29 1 1374 1 0 0 0 0 0 1 756 2 1 5 1 1 1
0 34 2 0 2 1 2 0 1 0 0 0 0 0 0 0 0 0 0 1 0 22 1 111 9 0 0 0 0 1 0 1 0 1 0 9 1 1
0 48 0 10 1442 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 27 1 1246 10 0 0 0 0 1 0 298 1 0 3 1 1 1
0 52 0 15 1696 0 986 1 0 0 1 0 0 0 0 0 0 0 0 0 1 40 1 504 4 0 0 0 1 0 1 28 4 0 2 10 1 1
1 58 2 17 699 0 2 1 0 1 0 0 0 0 0 0 0 0 0 1 0 42 1 1257 1 1 0 0 0 0 1 511 2 0 2 5 1 1
0 45 0 14 1379 0 674 1 0 0 0 0 0 0 0 0 0 0 0 0 1 24 0 1250 3 0 0 0 0 0 0 1 0 0 2 1 1 0
0 72 0 16 1361 0 902 1 1 0 0 1 0 0 0 0 1 0 0 0 0 41 1 1363 7 0 0 1 0 0 0 434 3 0 0 6 1 0
0 48 0 8 969 0 418 1 1 0 0 0 0 0 0 0 0 1 0 0 0 52 1 261 4 0 0 0 0 1 0 578 2 0 3 11 1 0
0 49 0 9 1721 0 972 0 1 0 1 0 0 0 0 0 0 0 0 0 1 7 0 157 13 1 0 0 0 0 0 1 0 0 0 7 1 0
0 57 0 14 503 0 1263 0 1 0 0 0 1 0 1 0 0 0 0 0 0 27 1 1376 1 0 0 0 0 1 0 1 0 0 0 NA 1 0
0 22 0 NA 842 0 555 0 1 0 0 1 0 0 0 0 0 0 0 0 0 23 1 975 6 0 0 0 0 0 0 764 2 0 0 20 1 0
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