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Dataset

Dataset can be downloaded from Kaggle site here

Description

Why are our best and most experienced employees leaving prematurely? Have fun with this database and try to predict which valuable employees will leave next. Fields in the dataset include:

  • Last evaluation
  • Number of projects
  • Average monthly hours
  • Time spent at the company
  • Whether they have had a work accident
  • Whether they have had a promotion in the last 5 years
  • Department
  • Salary
  • Whether the employee has left

*This dataset is simulated Released Under CC BY-SA 4.0 License

Note: Each row corresponds to an employee

Feature Description Type
satisfaction_level Level of satisfaction (0-1) Numeric
last_evaluation Evaluation of employee performance (0-1) Numeric
number_project Number of projects completed while at work Numeric
average_montly_hours Average monthly hours at workplace Numeric
time_spend_company Number of years spent in the company Numeric
Work_accident Whether the employee had a workplace accident Numeric
left Whether the employee left the workplace or not (1 or 0) Factor Numeric
promotion_last_5years Whether the employee was promoted in the last five years Numeric
sales Department in which they work for String
salary Relative level of salary (high) String

Load libraries

library(ggplot2)
library(corrplot)#Correlation matrix
library(cluster)
library(fpc)# for cluster
library(caret)
library(dplyr)
library(pROC)

Import

hr <- read.csv("HR_comma_sep.csv")
head(hr)
##   satisfaction_level last_evaluation number_project average_montly_hours
## 1               0.38            0.53              2                  157
## 2               0.80            0.86              5                  262
## 3               0.11            0.88              7                  272
## 4               0.72            0.87              5                  223
## 5               0.37            0.52              2                  159
## 6               0.41            0.50              2                  153
##   time_spend_company Work_accident left promotion_last_5years sales salary
## 1                  3             0    1                     0 sales    low
## 2                  6             0    1                     0 sales medium
## 3                  4             0    1                     0 sales medium
## 4                  5             0    1                     0 sales    low
## 5                  3             0    1                     0 sales    low
## 6                  3             0    1                     0 sales    low

Pre-processing

hr$left <- as.factor(hr$left)
hr$Work_accident <- as.factor(hr$Work_accident)
hr$promotion_last_5years <- as.factor(hr$promotion_last_5years)
colnames(hr)[4] <- "average_monthly_hours"
colnames(hr)[9] <- "department"
range <- apply(hr, 2, range)

Is it balanced?

round(table(hr$left)/nrow(hr)*100, 2)
##
##     0     1
## 76.19 23.81

Yes, it is!

Salary strings should follow an increasing order:

list <- c("low", "medium", "high")
hr$salary <- factor(hr$salary, levels = list)
str(hr$salary)
##  Factor w/ 3 levels "low","medium",..: 1 2 2 1 1 1 1 1 1 1 ...

Visualization

plot histograms

variables <- colnames(hr)[1:5]
for (i in seq_along(variables)) {
  n <- ggplot(data=hr, aes_string(x=variables[i]))
  h <- geom_histogram(bins = 50, alpha=0.3, aes(y=..density.., fill=left))
  d <- stat_density(geom="line",aes(color=left)) # no geom_density because it leaves a baseline
  print(n+h+d)
  ggsave(n+h+d, filename=paste("plot_", variables[i], ".png", sep=""))
  dev.off()
}

Histograms and density plots are, now, stored in the wd. I will load one here to show its shape.

Normalization

hr_n <- apply(hr[,1:5], 2, scale)

Variance-Near Zero Variance

nzv <- nearZeroVar(hr, saveMetrics = TRUE)
nzv
##                       freqRatio percentUnique zeroVar   nzv
## satisfaction_level     1.068657    0.61337422   FALSE FALSE
## last_evaluation        1.014164    0.43336222   FALSE FALSE
## number_project         1.076449    0.04000267   FALSE FALSE
## average_monthly_hours  1.000000    1.43342890   FALSE FALSE
## time_spend_company     1.986128    0.05333689   FALSE FALSE
## Work_accident          5.915168    0.01333422   FALSE FALSE
## left                   3.200224    0.01333422   FALSE FALSE
## promotion_last_5years 46.018809    0.01333422   FALSE  TRUE
## department             1.522059    0.06667111   FALSE FALSE
## salary                 1.134967    0.02000133   FALSE FALSE

Modelling

The first step will be building our training and testing datasets. But before even that, there is some preprocessing left

hr <- mutate(hr, left = ifelse(left == "0", "No", "Yes"))

I need to divide the data into training/test with 0.7/0.3 and create a train control for the models.

set.seed(123)
index <- createDataPartition(hr$left, p = 0.7, list=F)
TrSet <- hr[index, ]
TeSet <- hr[-index,]
table(TrSet$left)
##
##   No  Yes
## 8000 2500
ctrl0 <- trainControl(method = "cv",
                      number = 10,
                      summaryFunction = twoClassSummary,
                      classProbs = T,
                      allowParallel = T)

Linear Model

t0 <- proc.time()
model_Lgm01 <- caret::train(left ~.,
                     data = TrSet,
                     method="glm",
                     family= binomial(link = "logit"),
                     trControl = ctrl0)
tf <- proc.time() - t0
tf
##    user  system elapsed
##    3.39    0.14    3.53
model_Lgm01
## Generalized Linear Model
##
## 10500 samples
##     9 predictor
##     2 classes: 'No', 'Yes'
##
## No pre-processing
## Resampling: Cross-Validated (10 fold)
## Summary of sample sizes: 9450, 9450, 9450, 9450, 9450, 9450, ...
## Resampling results:
##
##   ROC        Sens    Spec
##   0.8220355  0.9285  0.3636
t0 <- proc.time()
model_Lgm02 <- caret::train(left ~.-promotion_last_5years,
                     data = TrSet,
                     method="glm",
                     family= binomial(link = "logit"),
                     trControl = ctrl0)
tf <- proc.time() - t0
tf
##    user  system elapsed
##    3.03    0.03    3.06
model_Lgm02
## Generalized Linear Model
##
## 10500 samples
##     9 predictor
##     2 classes: 'No', 'Yes'
##
## No pre-processing
## Resampling: Cross-Validated (10 fold)
## Summary of sample sizes: 9450, 9450, 9450, 9450, 9450, 9450, ...
## Resampling results:
##
##   ROC       Sens     Spec
##   0.821493  0.92975  0.3592

Tree

t0 <- proc.time()
model_t01 <- caret::train(left ~.,
                     data = TrSet,
                     method="C5.0",
                     trControl = ctrl0)
tf <- proc.time() - t0
tf
##    user  system elapsed
##  129.36    0.09  129.91
model_t01
## C5.0
##
## 10500 samples
##     9 predictor
##     2 classes: 'No', 'Yes'
##
## No pre-processing
## Resampling: Cross-Validated (10 fold)
## Summary of sample sizes: 9450, 9450, 9450, 9450, 9450, 9450, ...
## Resampling results across tuning parameters:
##
##   model  winnow  trials  ROC        Sens      Spec
##   rules  FALSE    1      0.9600597  0.995250  0.9196
##   rules  FALSE   10      0.9903612  0.994000  0.9396
##   rules  FALSE   20      0.9911250  0.996500  0.9380
##   rules   TRUE    1      0.9604063  0.995250  0.9188
##   rules   TRUE   10      0.9896705  0.994750  0.9364
##   rules   TRUE   20      0.9912220  0.996500  0.9364
##   tree   FALSE    1      0.9750663  0.994750  0.9224
##   tree   FALSE   10      0.9902305  0.993500  0.9352
##   tree   FALSE   20      0.9915232  0.996500  0.9328
##   tree    TRUE    1      0.9749853  0.995375  0.9212
##   tree    TRUE   10      0.9901515  0.994875  0.9368
##   tree    TRUE   20      0.9907405  0.996375  0.9352
##
## ROC was used to select the optimal model using  the largest value.
## The final values used for the model were trials = 20, model = tree
##  and winnow = FALSE.
t0 <- proc.time()
model_t02 <- caret::train(left ~.-promotion_last_5years,
                     data = TrSet,
                     method="C5.0",
                     trControl = ctrl0)
tf <- proc.time() - t0
tf
##    user  system elapsed
##  128.12    0.14  129.31
model_t02
## C5.0
##
## 10500 samples
##     9 predictor
##     2 classes: 'No', 'Yes'
##
## No pre-processing
## Resampling: Cross-Validated (10 fold)
## Summary of sample sizes: 9450, 9450, 9450, 9450, 9450, 9450, ...
## Resampling results across tuning parameters:
##
##   model  winnow  trials  ROC        Sens      Spec
##   rules  FALSE    1      0.9617780  0.995375  0.9208
##   rules  FALSE   10      0.9901092  0.993625  0.9372
##   rules  FALSE   20      0.9916105  0.995875  0.9332
##   rules   TRUE    1      0.9601232  0.995875  0.9192
##   rules   TRUE   10      0.9896788  0.993375  0.9360
##   rules   TRUE   20      0.9910350  0.995875  0.9324
##   tree   FALSE    1      0.9752555  0.995875  0.9224
##   tree   FALSE   10      0.9904705  0.994250  0.9320
##   tree   FALSE   20      0.9914545  0.996000  0.9332
##   tree    TRUE    1      0.9749845  0.996250  0.9208
##   tree    TRUE   10      0.9901102  0.994125  0.9364
##   tree    TRUE   20      0.9907550  0.995875  0.9316
##
## ROC was used to select the optimal model using  the largest value.
## The final values used for the model were trials = 20, model = rules
##  and winnow = FALSE.

Knn

t0 <- proc.time()
model_knn01 <- caret::train(left ~.,
                     data = TrSet,
                     method="kknn",
                     trControl = ctrl0)
tf <- proc.time() - t0
tf
##    user  system elapsed
##  152.50    0.33  153.99
model_t02
## C5.0
##
## 10500 samples
##     9 predictor
##     2 classes: 'No', 'Yes'
##
## No pre-processing
## Resampling: Cross-Validated (10 fold)
## Summary of sample sizes: 9450, 9450, 9450, 9450, 9450, 9450, ...
## Resampling results across tuning parameters:
##
##   model  winnow  trials  ROC        Sens      Spec
##   rules  FALSE    1      0.9617780  0.995375  0.9208
##   rules  FALSE   10      0.9901092  0.993625  0.9372
##   rules  FALSE   20      0.9916105  0.995875  0.9332
##   rules   TRUE    1      0.9601232  0.995875  0.9192
##   rules   TRUE   10      0.9896788  0.993375  0.9360
##   rules   TRUE   20      0.9910350  0.995875  0.9324
##   tree   FALSE    1      0.9752555  0.995875  0.9224
##   tree   FALSE   10      0.9904705  0.994250  0.9320
##   tree   FALSE   20      0.9914545  0.996000  0.9332
##   tree    TRUE    1      0.9749845  0.996250  0.9208
##   tree    TRUE   10      0.9901102  0.994125  0.9364
##   tree    TRUE   20      0.9907550  0.995875  0.9316
##
## ROC was used to select the optimal model using  the largest value.
## The final values used for the model were trials = 20, model = rules
##  and winnow = FALSE.

The model is quite good 0.9910350 (ROC) 0.995875 (Sensibility) 0.9324 (Specificity).

Now, I am just being curious. I want to see if I can make clusters between employees.

Plotting the clusters

set.seed(123)
cluster <- kmeans(hr[,1:5], 5)
cluster$centers
##   satisfaction_level last_evaluation number_project average_monthly_hours
## 1          0.6620474       0.7745434       4.155719              246.3246
## 2          0.5584399       0.6296165       3.126794              138.6828
## 3          0.4880803       0.7838100       4.692458              275.8521
## 4          0.6821828       0.7384727       3.874557              212.1733
## 5          0.6486514       0.6996636       3.637535              173.8953
##   time_spend_company
## 1           3.691125
## 2           3.346204
## 3           3.872674
## 4           3.471651
## 5           3.275385
plotcluster(hr[,1:5], cluster$cluster)

clusplot(hr[,1:5], cluster$cluster, color=TRUE, shade=TRUE,
         labels=2, lines=0)

It seems there are not clear clusters in this data sets.

Preditions

pred_lgm01 <- predict(model_Lgm01, TeSet)
pred_lgm02 <- predict(model_Lgm02, TeSet)
pred_t01 <- predict(model_t01, TeSet)
pred_t02 <- predict(model_t02, TeSet)
pred_knn01 <- predict(model_knn01, TeSet)
met_lgm01 <- pROC::roc(TeSet$left, as.numeric(pred_lgm01))
met_lgm02 <- pROC::roc(TeSet$left, as.numeric(pred_lgm02))
met_t01 <- pROC::roc(TeSet$left, as.numeric(pred_t01))
met_t02 <- pROC::roc(TeSet$left, as.numeric(pred_t02))
met_knn01 <- pROC::roc(TeSet$left, as.numeric(pred_knn01))
AUC <- cbind(met_lgm01$auc,met_lgm02$auc,
             met_t01$auc, met_t02$auc, met_knn01$auc)
AUC
##           [,1]     [,2]      [,3]     [,4]      [,5]
## [1,] 0.6424874 0.640562 0.9744987 0.975491 0.9696578

Best AUC is from model t02 which is a tree (C5.0) model.