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 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 an association between leaving and salary

c. Non-Technical Interpretation

Employees with low salaries are more than 4 times more likely to leave than employees with high salaries (0.066 / 0.297)

d. Graph

3. Left vs Promotion 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 an association between leaving and receiving a promotion

c. Non-Technical Interpretation

Employees who did not get a promotion are over 4 times more likely to leave (0.242 / 0.060)

d. Graph

4. Left vs

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$salary 
## hr$Department |      high |       low |    medium | Row Total | 
## --------------|-----------|-----------|-----------|-----------|
##    accounting |        74 |       358 |       335 |       767 | 
##               |     1.825 |     0.694 |     0.088 |           | 
##               |     0.096 |     0.467 |     0.437 |     0.051 | 
##               |     0.060 |     0.049 |     0.052 |           | 
##               |     0.005 |     0.024 |     0.022 |           | 
## --------------|-----------|-----------|-----------|-----------|
##            hr |        45 |       335 |       359 |       739 | 
##               |     4.173 |     1.798 |     5.398 |           | 
##               |     0.061 |     0.453 |     0.486 |     0.049 | 
##               |     0.036 |     0.046 |     0.056 |           | 
##               |     0.003 |     0.022 |     0.024 |           | 
## --------------|-----------|-----------|-----------|-----------|
##            IT |        83 |       609 |       535 |      1227 | 
##               |     3.271 |     0.185 |     0.112 |           | 
##               |     0.068 |     0.496 |     0.436 |     0.082 | 
##               |     0.067 |     0.083 |     0.083 |           | 
##               |     0.006 |     0.041 |     0.036 |           | 
## --------------|-----------|-----------|-----------|-----------|
##    management |       225 |       180 |       225 |       630 | 
##               |   576.312 |    52.729 |     7.731 |           | 
##               |     0.357 |     0.286 |     0.357 |     0.042 | 
##               |     0.182 |     0.025 |     0.035 |           | 
##               |     0.015 |     0.012 |     0.015 |           | 
## --------------|-----------|-----------|-----------|-----------|
##     marketing |        80 |       402 |       376 |       858 | 
##               |     1.206 |     0.651 |     0.143 |           | 
##               |     0.093 |     0.469 |     0.438 |     0.057 | 
##               |     0.065 |     0.055 |     0.058 |           | 
##               |     0.005 |     0.027 |     0.025 |           | 
## --------------|-----------|-----------|-----------|-----------|
##   product_mng |        68 |       451 |       383 |       902 | 
##               |     0.549 |     0.277 |     0.056 |           | 
##               |     0.075 |     0.500 |     0.425 |     0.060 | 
##               |     0.055 |     0.062 |     0.059 |           | 
##               |     0.005 |     0.030 |     0.026 |           | 
## --------------|-----------|-----------|-----------|-----------|
##         RandD |        51 |       364 |       372 |       787 | 
##               |     2.979 |     1.029 |     3.373 |           | 
##               |     0.065 |     0.463 |     0.473 |     0.052 | 
##               |     0.041 |     0.050 |     0.058 |           | 
##               |     0.003 |     0.024 |     0.025 |           | 
## --------------|-----------|-----------|-----------|-----------|
##         sales |       269 |      2099 |      1772 |      4140 | 
##               |    15.367 |     3.142 |     0.029 |           | 
##               |     0.065 |     0.507 |     0.428 |     0.276 | 
##               |     0.217 |     0.287 |     0.275 |           | 
##               |     0.018 |     0.140 |     0.118 |           | 
## --------------|-----------|-----------|-----------|-----------|
##       support |       141 |      1146 |       942 |      2229 | 
##               |     9.979 |     3.177 |     0.265 |           | 
##               |     0.063 |     0.514 |     0.423 |     0.149 | 
##               |     0.114 |     0.157 |     0.146 |           | 
##               |     0.009 |     0.076 |     0.063 |           | 
## --------------|-----------|-----------|-----------|-----------|
##     technical |       201 |      1372 |      1147 |      2720 | 
##               |     2.425 |     1.545 |     0.412 |           | 
##               |     0.074 |     0.504 |     0.422 |     0.181 | 
##               |     0.162 |     0.188 |     0.178 |           | 
##               |     0.013 |     0.091 |     0.076 |           | 
## --------------|-----------|-----------|-----------|-----------|
##  Column Total |      1237 |      7316 |      6446 |     14999 | 
##               |     0.082 |     0.488 |     0.430 |           | 
## --------------|-----------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  700.9193     d.f. =  18     p =  3.621445e-137 
## 
## 
## 

b. Technical Interpretation

There is an association between department and salary

c. Non-Technical Interpretation

Employees in the Management department are more than 3 times more likely to receive a high salary compared to employees in any other department (.357/.096 for accounting)

d. Graph