# Βιβλιοθήκες που χρειάζονται
library(caTools)  
library(ROCR)     
data <- read.csv("creditcard.csv")
str(data)  
## 'data.frame':    284807 obs. of  31 variables:
##  $ Time  : num  0 0 1 1 2 2 4 7 7 9 ...
##  $ V1    : num  -1.36 1.192 -1.358 -0.966 -1.158 ...
##  $ V2    : num  -0.0728 0.2662 -1.3402 -0.1852 0.8777 ...
##  $ V3    : num  2.536 0.166 1.773 1.793 1.549 ...
##  $ V4    : num  1.378 0.448 0.38 -0.863 0.403 ...
##  $ V5    : num  -0.3383 0.06 -0.5032 -0.0103 -0.4072 ...
##  $ V6    : num  0.4624 -0.0824 1.8005 1.2472 0.0959 ...
##  $ V7    : num  0.2396 -0.0788 0.7915 0.2376 0.5929 ...
##  $ V8    : num  0.0987 0.0851 0.2477 0.3774 -0.2705 ...
##  $ V9    : num  0.364 -0.255 -1.515 -1.387 0.818 ...
##  $ V10   : num  0.0908 -0.167 0.2076 -0.055 0.7531 ...
##  $ V11   : num  -0.552 1.613 0.625 -0.226 -0.823 ...
##  $ V12   : num  -0.6178 1.0652 0.0661 0.1782 0.5382 ...
##  $ V13   : num  -0.991 0.489 0.717 0.508 1.346 ...
##  $ V14   : num  -0.311 -0.144 -0.166 -0.288 -1.12 ...
##  $ V15   : num  1.468 0.636 2.346 -0.631 0.175 ...
##  $ V16   : num  -0.47 0.464 -2.89 -1.06 -0.451 ...
##  $ V17   : num  0.208 -0.115 1.11 -0.684 -0.237 ...
##  $ V18   : num  0.0258 -0.1834 -0.1214 1.9658 -0.0382 ...
##  $ V19   : num  0.404 -0.146 -2.262 -1.233 0.803 ...
##  $ V20   : num  0.2514 -0.0691 0.525 -0.208 0.4085 ...
##  $ V21   : num  -0.01831 -0.22578 0.248 -0.1083 -0.00943 ...
##  $ V22   : num  0.27784 -0.63867 0.77168 0.00527 0.79828 ...
##  $ V23   : num  -0.11 0.101 0.909 -0.19 -0.137 ...
##  $ V24   : num  0.0669 -0.3398 -0.6893 -1.1756 0.1413 ...
##  $ V25   : num  0.129 0.167 -0.328 0.647 -0.206 ...
##  $ V26   : num  -0.189 0.126 -0.139 -0.222 0.502 ...
##  $ V27   : num  0.13356 -0.00898 -0.05535 0.06272 0.21942 ...
##  $ V28   : num  -0.0211 0.0147 -0.0598 0.0615 0.2152 ...
##  $ Amount: num  149.62 2.69 378.66 123.5 69.99 ...
##  $ Class : int  0 0 0 0 0 0 0 0 0 0 ...
set.seed(924)  # τελευταίο νούμερο email
split <- sample.split(data$Class, SplitRatio = 0.65)

train <- subset(data, split == TRUE)
test <- subset(data, split == FALSE)

cat("Train set έχει", nrow(train), "παρατηρήσεις\n")
## Train set έχει 185125 παρατηρήσεις
cat("Test set έχει", nrow(test), "παρατηρήσεις\n")
## Test set έχει 99682 παρατηρήσεις
model <- glm(Class ~ ., data = train, family = binomial)
summary(model)
## 
## Call:
## glm(formula = Class ~ ., family = binomial, data = train)
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -8.223e+00  3.099e-01 -26.531  < 2e-16 ***
## Time        -4.589e-06  2.693e-06  -1.704  0.08836 .  
## V1           5.446e-02  5.209e-02   1.045  0.29584    
## V2           6.410e-02  8.246e-02   0.777  0.43698    
## V3          -2.466e-03  6.449e-02  -0.038  0.96950    
## V4           7.360e-01  1.065e-01   6.914 4.73e-12 ***
## V5           1.522e-01  9.191e-02   1.656  0.09776 .  
## V6          -9.357e-02  8.794e-02  -1.064  0.28732    
## V7          -7.025e-02  8.971e-02  -0.783  0.43358    
## V8          -1.613e-01  3.635e-02  -4.437 9.11e-06 ***
## V9          -2.204e-02  1.634e-01  -0.135  0.89267    
## V10         -7.954e-01  1.410e-01  -5.641 1.69e-08 ***
## V11          3.916e-02  9.873e-02   0.397  0.69165    
## V12         -4.638e-03  1.032e-01  -0.045  0.96414    
## V13         -3.145e-01  9.909e-02  -3.174  0.00150 ** 
## V14         -5.056e-01  7.526e-02  -6.718 1.84e-11 ***
## V15         -2.501e-02  1.024e-01  -0.244  0.80699    
## V16          2.894e-02  2.038e-01   0.142  0.88704    
## V17         -5.994e-02  8.501e-02  -0.705  0.48076    
## V18         -1.433e-01  1.959e-01  -0.731  0.46456    
## V19          2.002e-01  1.359e-01   1.473  0.14081    
## V20         -3.023e-01  1.081e-01  -2.797  0.00515 ** 
## V21          4.022e-01  7.977e-02   5.042 4.62e-07 ***
## V22          7.023e-01  1.701e-01   4.128 3.65e-05 ***
## V23         -8.175e-02  6.918e-02  -1.182  0.23734    
## V24          5.913e-02  1.776e-01   0.333  0.73921    
## V25         -1.039e-01  1.588e-01  -0.654  0.51299    
## V26         -1.239e-01  2.336e-01  -0.531  0.59573    
## V27         -7.789e-01  1.506e-01  -5.172 2.32e-07 ***
## V28         -3.537e-01  1.279e-01  -2.766  0.00567 ** 
## Amount       8.461e-04  4.873e-04   1.736  0.08254 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 4710.1  on 185124  degrees of freedom
## Residual deviance: 1532.2  on 185094  degrees of freedom
## AIC: 1594.2
## 
## Number of Fisher Scoring iterations: 12
predictTest <- predict(model, newdata = test, type = "response")
summary(predictTest)
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## 0.0000000 0.0000852 0.0002162 0.0018112 0.0004890 1.0000000
predROCR <- prediction(predictTest, test$Class)
perfROCR <- performance(predROCR, "tpr", "fpr")
plot(perfROCR, col = "blue", main = "ROC Curve")