1. Left vs Work Accident

a. Chi-Square Test

## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$Work_accident 
##      hr$left |         0 |         1 | Row Total | 
## -------------|-----------|-----------|-----------|
##            0 |      9428 |      2000 |     11428 | 
##              |    12.346 |    73.029 |           | 
##              |     0.825 |     0.175 |     0.762 | 
##              |     0.735 |     0.922 |           | 
##              |     0.629 |     0.133 |           | 
## -------------|-----------|-----------|-----------|
##            1 |      3402 |       169 |      3571 | 
##              |    39.510 |   233.709 |           | 
##              |     0.953 |     0.047 |     0.238 | 
##              |     0.265 |     0.078 |           | 
##              |     0.227 |     0.011 |           | 
## -------------|-----------|-----------|-----------|
## Column Total |     12830 |      2169 |     14999 | 
##              |     0.855 |     0.145 |           | 
## -------------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  358.5938     d.f. =  1     p =  5.698673e-80 
## 
## Pearson's Chi-squared test with Yates' continuity correction 
## ------------------------------------------------------------
## Chi^2 =  357.5624     d.f. =  1     p =  9.55824e-80 
## 
## 

b. Technical Interpretation

There is an association between leaving and work accidents, employees with work accidents are less likely to leave.

c. Non-Technical Interpretation

Employees without a work accident are more that 3 time more likely to leave (0.265 / 0.078)

d. Graph

2. Left vs Promotion in Last 5 Years

a. Chi-Square Test

## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$promotion_last_5years 
##      hr$left |         0 |         1 | Row Total | 
## -------------|-----------|-----------|-----------|
##            0 |     11128 |       300 |     11428 | 
##              |     0.290 |    13.343 |           | 
##              |     0.974 |     0.026 |     0.762 | 
##              |     0.758 |     0.940 |           | 
##              |     0.742 |     0.020 |           | 
## -------------|-----------|-----------|-----------|
##            1 |      3552 |        19 |      3571 | 
##              |     0.928 |    42.702 |           | 
##              |     0.995 |     0.005 |     0.238 | 
##              |     0.242 |     0.060 |           | 
##              |     0.237 |     0.001 |           | 
## -------------|-----------|-----------|-----------|
## Column Total |     14680 |       319 |     14999 | 
##              |     0.979 |     0.021 |           | 
## -------------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  57.26273     d.f. =  1     p =  3.813123e-14 
## 
## Pearson's Chi-squared test with Yates' continuity correction 
## ------------------------------------------------------------
## Chi^2 =  56.26163     d.f. =  1     p =  6.344155e-14 
## 
## 

b. Technical Interpretation

There is a statistically significant association between employee departures and receiving a promotion in the last 5 years (χ² test, p < 0.05). Employees who received promotions were less likely to leave.

c. Non-Technical Interpretation

Employees who did not receive a promotion in the last 5 years are significantly more likely to leave the company. This indicates that career advancement opportunities play an important role in employee retention.

d. Graph

3. Left vs Department

a. Chi-Square Test

## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$Department 
##      hr$left |  accounting |          hr |          IT |  management |   marketing | product_mng |       RandD |       sales |     support |   technical |   Row Total | 
## -------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
##            0 |         563 |         524 |         954 |         539 |         655 |         704 |         666 |        3126 |        1674 |        2023 |       11428 | 
##              |       0.783 |       2.709 |       0.391 |       7.250 |       0.002 |       0.408 |       7.346 |       0.255 |       0.348 |       1.178 |             | 
##              |       0.049 |       0.046 |       0.083 |       0.047 |       0.057 |       0.062 |       0.058 |       0.274 |       0.146 |       0.177 |       0.762 | 
##              |       0.734 |       0.709 |       0.778 |       0.856 |       0.763 |       0.780 |       0.846 |       0.755 |       0.751 |       0.744 |             | 
##              |       0.038 |       0.035 |       0.064 |       0.036 |       0.044 |       0.047 |       0.044 |       0.208 |       0.112 |       0.135 |             | 
## -------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
##            1 |         204 |         215 |         273 |          91 |         203 |         198 |         121 |        1014 |         555 |         697 |        3571 | 
##              |       2.506 |       8.670 |       1.252 |      23.202 |       0.008 |       1.307 |      23.510 |       0.815 |       1.114 |       3.771 |             | 
##              |       0.057 |       0.060 |       0.076 |       0.025 |       0.057 |       0.055 |       0.034 |       0.284 |       0.155 |       0.195 |       0.238 | 
##              |       0.266 |       0.291 |       0.222 |       0.144 |       0.237 |       0.220 |       0.154 |       0.245 |       0.249 |       0.256 |             | 
##              |       0.014 |       0.014 |       0.018 |       0.006 |       0.014 |       0.013 |       0.008 |       0.068 |       0.037 |       0.046 |             | 
## -------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
## Column Total |         767 |         739 |        1227 |         630 |         858 |         902 |         787 |        4140 |        2229 |        2720 |       14999 | 
##              |       0.051 |       0.049 |       0.082 |       0.042 |       0.057 |       0.060 |       0.052 |       0.276 |       0.149 |       0.181 |             | 
## -------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  86.82547     d.f. =  9     p =  7.04213e-15 
## 
## 
## 

b. Technical Interpretation

There is a statistically significant association between employee departures and department (χ² test, p < 0.05). Departure rates vary significantly across different departments.

c. Non-Technical Interpretation

The department an employee works in impacts their likelihood to leave. Some departments have significantly higher turnover rates than others, with the average turnover rate across all departments being approximately 25%.

d. Graph

4. Left vs Salary

a. Chi-Square Test

## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$salary 
##      hr$left |      high |       low |    medium | Row Total | 
## -------------|-----------|-----------|-----------|-----------|
##            0 |      1155 |      5144 |      5129 |     11428 | 
##              |    47.915 |    33.200 |     9.648 |           | 
##              |     0.101 |     0.450 |     0.449 |     0.762 | 
##              |     0.934 |     0.703 |     0.796 |           | 
##              |     0.077 |     0.343 |     0.342 |           | 
## -------------|-----------|-----------|-----------|-----------|
##            1 |        82 |      2172 |      1317 |      3571 | 
##              |   153.339 |   106.247 |    30.876 |           | 
##              |     0.023 |     0.608 |     0.369 |     0.238 | 
##              |     0.066 |     0.297 |     0.204 |           | 
##              |     0.005 |     0.145 |     0.088 |           | 
## -------------|-----------|-----------|-----------|-----------|
## Column Total |      1237 |      7316 |      6446 |     14999 | 
##              |     0.082 |     0.488 |     0.430 |           | 
## -------------|-----------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  381.225     d.f. =  2     p =  1.652087e-83 
## 
## 
## 

b. Technical Interpretation

There is a statistically significant association between employee departures and salary levels (χ² test, p < 0.05). Lower salary levels are associated with higher departure rates.

c. Non-Technical Interpretation

Employees with low salaries are much more likely to leave the company compared to those with medium or high salaries. This suggests that compensation is a critical factor in employee retention.

d. Graph