library(readr)

hr <- read_csv('https://raw.githubusercontent.com/aiplanethub/Datasets/refs/heads/master/HR_comma_sep.csv')
## Rows: 14999 Columns: 10
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (2): Department, salary
## dbl (8): satisfaction_level, last_evaluation, number_project, average_montly...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.4     ✔ purrr     1.1.0
## ✔ forcats   1.0.0     ✔ stringr   1.5.2
## ✔ ggplot2   4.0.0     ✔ tibble    3.3.0
## ✔ lubridate 1.9.4     ✔ tidyr     1.3.1
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(gmodels)
## Warning: package 'gmodels' was built under R version 4.5.2
library(plotly)
## 
## Attaching package: 'plotly'
## 
## The following object is masked from 'package:ggplot2':
## 
##     last_plot
## 
## The following object is masked from 'package:stats':
## 
##     filter
## 
## The following object is masked from 'package:graphics':
## 
##     layout
library(dplyr)

Left vs. Salary

CrossTable(hr$salary , hr$left , chisq = T)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$left 
##    hr$salary |         0 |         1 | Row Total | 
## -------------|-----------|-----------|-----------|
##         high |      1155 |        82 |      1237 | 
##              |    47.915 |   153.339 |           | 
##              |     0.934 |     0.066 |     0.082 | 
##              |     0.101 |     0.023 |           | 
##              |     0.077 |     0.005 |           | 
## -------------|-----------|-----------|-----------|
##          low |      5144 |      2172 |      7316 | 
##              |    33.200 |   106.247 |           | 
##              |     0.703 |     0.297 |     0.488 | 
##              |     0.450 |     0.608 |           | 
##              |     0.343 |     0.145 |           | 
## -------------|-----------|-----------|-----------|
##       medium |      5129 |      1317 |      6446 | 
##              |     9.648 |    30.876 |           | 
##              |     0.796 |     0.204 |     0.430 | 
##              |     0.449 |     0.369 |           | 
##              |     0.342 |     0.088 |           | 
## -------------|-----------|-----------|-----------|
## Column Total |     11428 |      3571 |     14999 | 
##              |     0.762 |     0.238 |           | 
## -------------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  381.225     d.f. =  2     p =  1.652087e-83 
## 
## 
## 
Interpretations

-P<.001 so we must reject the null hypothesis, there must be a association between salary and leaving. -Employees with high salary leave much less with only .066% of leaving -Employees with medium and low salaries are far more likley to leave then employees with high salaries - Low-High (.297/.066)= 4.5 times more likley to leave - Medium high (.204/.066)= 3.1 times more likley to leave

Graph
T1 <- hr %>%
  mutate(salary = factor(salary, levels = c("low", "medium", "high")))

summary_T1 <- T1 %>%
  group_by(salary) %>%
  summarise( pct_left = mean(left == 1) * 100)

plot_ly(
  data = summary_T1 ,
  x = ~salary,
  y = ~pct_left ,
  type = "bar"
)%>%
  layout(
    title = "Higher Salary Employees are more likley to stay",
    xaxis = list(title = "salary level"),
    yaxis = list(title = "Percent Left (%)")
  )

Satisfaction level vs. Left

CrossTable(hr$satisfaction_level , hr$left , chisq = T)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##                       | hr$left 
## hr$satisfaction_level |         0 |         1 | Row Total | 
## ----------------------|-----------|-----------|-----------|
##                  0.09 |         0 |       195 |       195 | 
##                       |   148.574 |   475.470 |           | 
##                       |     0.000 |     1.000 |     0.013 | 
##                       |     0.000 |     0.055 |           | 
##                       |     0.000 |     0.013 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.1 |         0 |       358 |       358 | 
##                       |   272.766 |   872.914 |           | 
##                       |     0.000 |     1.000 |     0.024 | 
##                       |     0.000 |     0.100 |           | 
##                       |     0.000 |     0.024 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.11 |         0 |       335 |       335 | 
##                       |   255.242 |   816.833 |           | 
##                       |     0.000 |     1.000 |     0.022 | 
##                       |     0.000 |     0.094 |           | 
##                       |     0.000 |     0.022 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.12 |        26 |         4 |        30 | 
##                       |     0.432 |     1.383 |           | 
##                       |     0.867 |     0.133 |     0.002 | 
##                       |     0.002 |     0.001 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.13 |        51 |         3 |        54 | 
##                       |     2.361 |     7.556 |           | 
##                       |     0.944 |     0.056 |     0.004 | 
##                       |     0.004 |     0.001 |           | 
##                       |     0.003 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.14 |        63 |        10 |        73 | 
##                       |     0.979 |     3.134 |           | 
##                       |     0.863 |     0.137 |     0.005 | 
##                       |     0.006 |     0.003 |           | 
##                       |     0.004 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.15 |        73 |         3 |        76 | 
##                       |     3.935 |    12.592 |           | 
##                       |     0.961 |     0.039 |     0.005 | 
##                       |     0.006 |     0.001 |           | 
##                       |     0.005 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.16 |        78 |         1 |        79 | 
##                       |     5.269 |    16.862 |           | 
##                       |     0.987 |     0.013 |     0.005 | 
##                       |     0.007 |     0.000 |           | 
##                       |     0.005 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.17 |        67 |         5 |        72 | 
##                       |     2.687 |     8.600 |           | 
##                       |     0.931 |     0.069 |     0.005 | 
##                       |     0.006 |     0.001 |           | 
##                       |     0.004 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.18 |        63 |         0 |        63 | 
##                       |     4.687 |    14.999 |           | 
##                       |     1.000 |     0.000 |     0.004 | 
##                       |     0.006 |     0.000 |           | 
##                       |     0.004 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.19 |        68 |         6 |        74 | 
##                       |     2.394 |     7.661 |           | 
##                       |     0.919 |     0.081 |     0.005 | 
##                       |     0.006 |     0.002 |           | 
##                       |     0.005 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.2 |        65 |         4 |        69 | 
##                       |     2.938 |     9.402 |           | 
##                       |     0.942 |     0.058 |     0.005 | 
##                       |     0.006 |     0.001 |           | 
##                       |     0.004 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.21 |        66 |         1 |        67 | 
##                       |     4.379 |    14.014 |           | 
##                       |     0.985 |     0.015 |     0.004 | 
##                       |     0.006 |     0.000 |           | 
##                       |     0.004 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.22 |        59 |         1 |        60 | 
##                       |     3.861 |    12.355 |           | 
##                       |     0.983 |     0.017 |     0.004 | 
##                       |     0.005 |     0.000 |           | 
##                       |     0.004 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.23 |        52 |         2 |        54 | 
##                       |     2.865 |     9.168 |           | 
##                       |     0.963 |     0.037 |     0.004 | 
##                       |     0.005 |     0.001 |           | 
##                       |     0.003 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.24 |        77 |         3 |        80 | 
##                       |     4.224 |    13.519 |           | 
##                       |     0.963 |     0.037 |     0.005 | 
##                       |     0.007 |     0.001 |           | 
##                       |     0.005 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.25 |        31 |         3 |        34 | 
##                       |     1.002 |     3.207 |           | 
##                       |     0.912 |     0.088 |     0.002 | 
##                       |     0.003 |     0.001 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.26 |        29 |         1 |        30 | 
##                       |     1.651 |     5.282 |           | 
##                       |     0.967 |     0.033 |     0.002 | 
##                       |     0.003 |     0.000 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.27 |        24 |         6 |        30 | 
##                       |     0.057 |     0.183 |           | 
##                       |     0.800 |     0.200 |     0.002 | 
##                       |     0.002 |     0.002 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.28 |        28 |         3 |        31 | 
##                       |     0.812 |     2.600 |           | 
##                       |     0.903 |     0.097 |     0.002 | 
##                       |     0.002 |     0.001 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.29 |        37 |         1 |        38 | 
##                       |     2.237 |     7.158 |           | 
##                       |     0.974 |     0.026 |     0.003 | 
##                       |     0.003 |     0.000 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.3 |        37 |         2 |        39 | 
##                       |     1.786 |     5.716 |           | 
##                       |     0.949 |     0.051 |     0.003 | 
##                       |     0.003 |     0.001 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.31 |        42 |        17 |        59 | 
##                       |     0.194 |     0.621 |           | 
##                       |     0.712 |     0.288 |     0.004 | 
##                       |     0.004 |     0.005 |           | 
##                       |     0.003 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.32 |        42 |         8 |        50 | 
##                       |     0.400 |     1.280 |           | 
##                       |     0.840 |     0.160 |     0.003 | 
##                       |     0.004 |     0.002 |           | 
##                       |     0.003 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.33 |        33 |         3 |        36 | 
##                       |     1.131 |     3.621 |           | 
##                       |     0.917 |     0.083 |     0.002 | 
##                       |     0.003 |     0.001 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.34 |        44 |         4 |        48 | 
##                       |     1.509 |     4.828 |           | 
##                       |     0.917 |     0.083 |     0.003 | 
##                       |     0.004 |     0.001 |           | 
##                       |     0.003 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.35 |        34 |         3 |        37 | 
##                       |     1.197 |     3.831 |           | 
##                       |     0.919 |     0.081 |     0.002 | 
##                       |     0.003 |     0.001 |           | 
##                       |     0.002 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.36 |        43 |        96 |       139 | 
##                       |    37.365 |   119.577 |           | 
##                       |     0.309 |     0.691 |     0.009 | 
##                       |     0.004 |     0.027 |           | 
##                       |     0.003 |     0.006 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.37 |        47 |       194 |       241 | 
##                       |   101.652 |   325.310 |           | 
##                       |     0.195 |     0.805 |     0.016 | 
##                       |     0.004 |     0.054 |           | 
##                       |     0.003 |     0.013 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.38 |        35 |       154 |       189 | 
##                       |    82.509 |   264.048 |           | 
##                       |     0.185 |     0.815 |     0.013 | 
##                       |     0.003 |     0.043 |           | 
##                       |     0.002 |     0.010 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.39 |        35 |       140 |       175 | 
##                       |    72.523 |   232.090 |           | 
##                       |     0.200 |     0.800 |     0.012 | 
##                       |     0.003 |     0.039 |           | 
##                       |     0.002 |     0.009 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.4 |        40 |       169 |       209 | 
##                       |    89.288 |   285.743 |           | 
##                       |     0.191 |     0.809 |     0.014 | 
##                       |     0.004 |     0.047 |           | 
##                       |     0.003 |     0.011 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.41 |        39 |       132 |       171 | 
##                       |    63.962 |   204.693 |           | 
##                       |     0.228 |     0.772 |     0.011 | 
##                       |     0.003 |     0.037 |           | 
##                       |     0.003 |     0.009 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.42 |        47 |       108 |       155 | 
##                       |    42.802 |   136.976 |           | 
##                       |     0.303 |     0.697 |     0.010 | 
##                       |     0.004 |     0.030 |           | 
##                       |     0.003 |     0.007 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.43 |        46 |       178 |       224 | 
##                       |    91.068 |   291.437 |           | 
##                       |     0.205 |     0.795 |     0.015 | 
##                       |     0.004 |     0.050 |           | 
##                       |     0.003 |     0.012 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.44 |        58 |       153 |       211 | 
##                       |    65.690 |   210.221 |           | 
##                       |     0.275 |     0.725 |     0.014 | 
##                       |     0.005 |     0.043 |           | 
##                       |     0.004 |     0.010 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.45 |        46 |       157 |       203 | 
##                       |    76.350 |   244.337 |           | 
##                       |     0.227 |     0.773 |     0.014 | 
##                       |     0.004 |     0.044 |           | 
##                       |     0.003 |     0.010 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.46 |        27 |        68 |        95 | 
##                       |    28.454 |    91.058 |           | 
##                       |     0.284 |     0.716 |     0.006 | 
##                       |     0.002 |     0.019 |           | 
##                       |     0.002 |     0.005 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.47 |        38 |         4 |        42 | 
##                       |     1.125 |     3.600 |           | 
##                       |     0.905 |     0.095 |     0.003 | 
##                       |     0.003 |     0.001 |           | 
##                       |     0.003 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.48 |       139 |        10 |       149 | 
##                       |     5.716 |    18.293 |           | 
##                       |     0.933 |     0.067 |     0.010 | 
##                       |     0.012 |     0.003 |           | 
##                       |     0.009 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.49 |       207 |         2 |       209 | 
##                       |    14.324 |    45.840 |           | 
##                       |     0.990 |     0.010 |     0.014 | 
##                       |     0.018 |     0.001 |           | 
##                       |     0.014 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.5 |       226 |         3 |       229 | 
##                       |    15.213 |    48.686 |           | 
##                       |     0.987 |     0.013 |     0.015 | 
##                       |     0.020 |     0.001 |           | 
##                       |     0.015 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.51 |       182 |         5 |       187 | 
##                       |    10.963 |    35.083 |           | 
##                       |     0.973 |     0.027 |     0.012 | 
##                       |     0.016 |     0.001 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.52 |       196 |         0 |       196 | 
##                       |    14.582 |    46.664 |           | 
##                       |     1.000 |     0.000 |     0.013 | 
##                       |     0.017 |     0.000 |           | 
##                       |     0.013 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.53 |       171 |         8 |       179 | 
##                       |     8.786 |    28.119 |           | 
##                       |     0.955 |     0.045 |     0.012 | 
##                       |     0.015 |     0.002 |           | 
##                       |     0.011 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.54 |       179 |         6 |       185 | 
##                       |    10.269 |    32.863 |           | 
##                       |     0.968 |     0.032 |     0.012 | 
##                       |     0.016 |     0.002 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.55 |       175 |         4 |       179 | 
##                       |    10.934 |    34.992 |           | 
##                       |     0.978 |     0.022 |     0.012 | 
##                       |     0.015 |     0.001 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.56 |       182 |         5 |       187 | 
##                       |    10.963 |    35.083 |           | 
##                       |     0.973 |     0.027 |     0.012 | 
##                       |     0.016 |     0.001 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.57 |       202 |         8 |       210 | 
##                       |    11.023 |    35.277 |           | 
##                       |     0.962 |     0.038 |     0.014 | 
##                       |     0.018 |     0.002 |           | 
##                       |     0.013 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.58 |       179 |         3 |       182 | 
##                       |    11.730 |    37.539 |           | 
##                       |     0.984 |     0.016 |     0.012 | 
##                       |     0.016 |     0.001 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.59 |       212 |         7 |       219 | 
##                       |    12.212 |    39.080 |           | 
##                       |     0.968 |     0.032 |     0.015 | 
##                       |     0.019 |     0.002 |           | 
##                       |     0.014 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.6 |       189 |         4 |       193 | 
##                       |    11.967 |    38.298 |           | 
##                       |     0.979 |     0.021 |     0.013 | 
##                       |     0.017 |     0.001 |           | 
##                       |     0.013 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.61 |       202 |         6 |       208 | 
##                       |    11.952 |    38.248 |           | 
##                       |     0.971 |     0.029 |     0.014 | 
##                       |     0.018 |     0.002 |           | 
##                       |     0.013 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.62 |       186 |         2 |       188 | 
##                       |    12.764 |    40.849 |           | 
##                       |     0.989 |     0.011 |     0.013 | 
##                       |     0.016 |     0.001 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.63 |       205 |         4 |       209 | 
##                       |    13.149 |    42.081 |           | 
##                       |     0.981 |     0.019 |     0.014 | 
##                       |     0.018 |     0.001 |           | 
##                       |     0.014 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.64 |       185 |         2 |       187 | 
##                       |    12.690 |    40.611 |           | 
##                       |     0.989 |     0.011 |     0.012 | 
##                       |     0.016 |     0.001 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.65 |       198 |         1 |       199 | 
##                       |    14.186 |    45.400 |           | 
##                       |     0.995 |     0.005 |     0.013 | 
##                       |     0.017 |     0.000 |           | 
##                       |     0.013 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.66 |       217 |        11 |       228 | 
##                       |    10.784 |    34.512 |           | 
##                       |     0.952 |     0.048 |     0.015 | 
##                       |     0.019 |     0.003 |           | 
##                       |     0.014 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.67 |       176 |         1 |       177 | 
##                       |    12.550 |    40.164 |           | 
##                       |     0.994 |     0.006 |     0.012 | 
##                       |     0.015 |     0.000 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.68 |       161 |         1 |       162 | 
##                       |    11.435 |    36.595 |           | 
##                       |     0.994 |     0.006 |     0.011 | 
##                       |     0.014 |     0.000 |           | 
##                       |     0.011 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.69 |       209 |         0 |       209 | 
##                       |    15.549 |    49.759 |           | 
##                       |     1.000 |     0.000 |     0.014 | 
##                       |     0.018 |     0.000 |           | 
##                       |     0.014 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.7 |       195 |        10 |       205 | 
##                       |     9.642 |    30.856 |           | 
##                       |     0.951 |     0.049 |     0.014 | 
##                       |     0.017 |     0.003 |           | 
##                       |     0.013 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.71 |       167 |         4 |       171 | 
##                       |    10.345 |    33.105 |           | 
##                       |     0.977 |     0.023 |     0.011 | 
##                       |     0.015 |     0.001 |           | 
##                       |     0.011 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.72 |       200 |        30 |       230 | 
##                       |     3.498 |    11.195 |           | 
##                       |     0.870 |     0.130 |     0.015 | 
##                       |     0.018 |     0.008 |           | 
##                       |     0.013 |     0.002 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.73 |       204 |        42 |       246 | 
##                       |     1.465 |     4.687 |           | 
##                       |     0.829 |     0.171 |     0.016 | 
##                       |     0.018 |     0.012 |           | 
##                       |     0.014 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.74 |       206 |        51 |       257 | 
##                       |     0.530 |     1.696 |           | 
##                       |     0.802 |     0.198 |     0.017 | 
##                       |     0.018 |     0.014 |           | 
##                       |     0.014 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.75 |       188 |        38 |       226 | 
##                       |     1.451 |     4.643 |           | 
##                       |     0.832 |     0.168 |     0.015 | 
##                       |     0.016 |     0.011 |           | 
##                       |     0.013 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.76 |       189 |        45 |       234 | 
##                       |     0.644 |     2.059 |           | 
##                       |     0.808 |     0.192 |     0.016 | 
##                       |     0.017 |     0.013 |           | 
##                       |     0.013 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.77 |       201 |        51 |       252 | 
##                       |     0.422 |     1.349 |           | 
##                       |     0.798 |     0.202 |     0.017 | 
##                       |     0.018 |     0.014 |           | 
##                       |     0.013 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.78 |       191 |        50 |       241 | 
##                       |     0.296 |     0.949 |           | 
##                       |     0.793 |     0.207 |     0.016 | 
##                       |     0.017 |     0.014 |           | 
##                       |     0.013 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.79 |       172 |        45 |       217 | 
##                       |     0.269 |     0.860 |           | 
##                       |     0.793 |     0.207 |     0.014 | 
##                       |     0.015 |     0.013 |           | 
##                       |     0.011 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.8 |       194 |        28 |       222 | 
##                       |     3.652 |    11.688 |           | 
##                       |     0.874 |     0.126 |     0.015 | 
##                       |     0.017 |     0.008 |           | 
##                       |     0.013 |     0.002 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.81 |       169 |        51 |       220 | 
##                       |     0.011 |     0.036 |           | 
##                       |     0.768 |     0.232 |     0.015 | 
##                       |     0.015 |     0.014 |           | 
##                       |     0.011 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.82 |       183 |        58 |       241 | 
##                       |     0.002 |     0.007 |           | 
##                       |     0.759 |     0.241 |     0.016 | 
##                       |     0.016 |     0.016 |           | 
##                       |     0.012 |     0.004 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.83 |       187 |        47 |       234 | 
##                       |     0.426 |     1.362 |           | 
##                       |     0.799 |     0.201 |     0.016 | 
##                       |     0.016 |     0.013 |           | 
##                       |     0.012 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.84 |       185 |        62 |       247 | 
##                       |     0.054 |     0.173 |           | 
##                       |     0.749 |     0.251 |     0.016 | 
##                       |     0.016 |     0.017 |           | 
##                       |     0.012 |     0.004 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.85 |       171 |        36 |       207 | 
##                       |     1.119 |     3.580 |           | 
##                       |     0.826 |     0.174 |     0.014 | 
##                       |     0.015 |     0.010 |           | 
##                       |     0.011 |     0.002 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.86 |       159 |        41 |       200 | 
##                       |     0.287 |     0.919 |           | 
##                       |     0.795 |     0.205 |     0.013 | 
##                       |     0.014 |     0.011 |           | 
##                       |     0.011 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.87 |       167 |        58 |       225 | 
##                       |     0.115 |     0.367 |           | 
##                       |     0.742 |     0.258 |     0.015 | 
##                       |     0.015 |     0.016 |           | 
##                       |     0.011 |     0.004 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.88 |       162 |        25 |       187 | 
##                       |     2.675 |     8.560 |           | 
##                       |     0.866 |     0.134 |     0.012 | 
##                       |     0.014 |     0.007 |           | 
##                       |     0.011 |     0.002 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.89 |       181 |        56 |       237 | 
##                       |     0.001 |     0.003 |           | 
##                       |     0.764 |     0.236 |     0.016 | 
##                       |     0.016 |     0.016 |           | 
##                       |     0.012 |     0.004 |           | 
## ----------------------|-----------|-----------|-----------|
##                   0.9 |       168 |        52 |       220 | 
##                       |     0.001 |     0.003 |           | 
##                       |     0.764 |     0.236 |     0.015 | 
##                       |     0.015 |     0.015 |           | 
##                       |     0.011 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.91 |       181 |        43 |       224 | 
##                       |     0.625 |     2.001 |           | 
##                       |     0.808 |     0.192 |     0.015 | 
##                       |     0.016 |     0.012 |           | 
##                       |     0.012 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.92 |       178 |        20 |       198 | 
##                       |     4.883 |    15.626 |           | 
##                       |     0.899 |     0.101 |     0.013 | 
##                       |     0.016 |     0.006 |           | 
##                       |     0.012 |     0.001 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.93 |       169 |         0 |       169 | 
##                       |    12.573 |    40.236 |           | 
##                       |     1.000 |     0.000 |     0.011 | 
##                       |     0.015 |     0.000 |           | 
##                       |     0.011 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.94 |       167 |         0 |       167 | 
##                       |    12.424 |    39.760 |           | 
##                       |     1.000 |     0.000 |     0.011 | 
##                       |     0.015 |     0.000 |           | 
##                       |     0.011 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.95 |       181 |         0 |       181 | 
##                       |    13.466 |    43.093 |           | 
##                       |     1.000 |     0.000 |     0.012 | 
##                       |     0.016 |     0.000 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.96 |       203 |         0 |       203 | 
##                       |    15.102 |    48.331 |           | 
##                       |     1.000 |     0.000 |     0.014 | 
##                       |     0.018 |     0.000 |           | 
##                       |     0.014 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.97 |       176 |         0 |       176 | 
##                       |    13.094 |    41.903 |           | 
##                       |     1.000 |     0.000 |     0.012 | 
##                       |     0.015 |     0.000 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.98 |       183 |         0 |       183 | 
##                       |    13.614 |    43.569 |           | 
##                       |     1.000 |     0.000 |     0.012 | 
##                       |     0.016 |     0.000 |           | 
##                       |     0.012 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                  0.99 |       172 |         0 |       172 | 
##                       |    12.796 |    40.950 |           | 
##                       |     1.000 |     0.000 |     0.011 | 
##                       |     0.015 |     0.000 |           | 
##                       |     0.011 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##                     1 |       111 |         0 |       111 | 
##                       |     8.258 |    26.427 |           | 
##                       |     1.000 |     0.000 |     0.007 | 
##                       |     0.010 |     0.000 |           | 
##                       |     0.007 |     0.000 |           | 
## ----------------------|-----------|-----------|-----------|
##          Column Total |     11428 |      3571 |     14999 | 
##                       |     0.762 |     0.238 |           | 
## ----------------------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  7937.744     d.f. =  91     p =  0 
## 
## 
## 
Interpretations

-P<.001 so we must reject the null hypothesis -Employees with extremley high satisfaction levels >.90 are very likley to not leave -Of employees with satisfaction level >.9, (115/2004)=.0573 have left

Graph
T2 <- hr
  summary_T2 <- T2 %>%
  group_by(satisfaction_level) %>%
  summarise(
    pct_leftT2 = mean(left == 1) * 100
  )
plot_ly(
  data = summary_T2 ,
  x = ~satisfaction_level,
  y = ~pct_leftT2,
  type = "bar"
) %>%
  layout(
    title = "Employees with higher satisfaction level are more likley to stay",
    xaxis = list(title = "salary level"),
    yaxis = list(title = "Percent left (%)")
  )

Time Spend Company vs. Work Accident

CrossTable(hr$time_spend_company , hr$Work_accident , chisq = T)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##                       | hr$Work_accident 
## hr$time_spend_company |         0 |         1 | Row Total | 
## ----------------------|-----------|-----------|-----------|
##                     2 |      2686 |       558 |      3244 | 
##                       |     2.847 |    16.842 |           | 
##                       |     0.828 |     0.172 |     0.216 | 
##                       |     0.209 |     0.257 |           | 
##                       |     0.179 |     0.037 |           | 
## ----------------------|-----------|-----------|-----------|
##                     3 |      5548 |       895 |      6443 | 
##                       |     0.245 |     1.447 |           | 
##                       |     0.861 |     0.139 |     0.430 | 
##                       |     0.432 |     0.413 |           | 
##                       |     0.370 |     0.060 |           | 
## ----------------------|-----------|-----------|-----------|
##                     4 |      2239 |       318 |      2557 | 
##                       |     1.225 |     7.247 |           | 
##                       |     0.876 |     0.124 |     0.170 | 
##                       |     0.175 |     0.147 |           | 
##                       |     0.149 |     0.021 |           | 
## ----------------------|-----------|-----------|-----------|
##                     5 |      1302 |       171 |      1473 | 
##                       |     1.401 |     8.285 |           | 
##                       |     0.884 |     0.116 |     0.098 | 
##                       |     0.101 |     0.079 |           | 
##                       |     0.087 |     0.011 |           | 
## ----------------------|-----------|-----------|-----------|
##                     6 |       611 |       107 |       718 | 
##                       |     0.016 |     0.097 |           | 
##                       |     0.851 |     0.149 |     0.048 | 
##                       |     0.048 |     0.049 |           | 
##                       |     0.041 |     0.007 |           | 
## ----------------------|-----------|-----------|-----------|
##                     7 |       162 |        26 |       188 | 
##                       |     0.009 |     0.052 |           | 
##                       |     0.862 |     0.138 |     0.013 | 
##                       |     0.013 |     0.012 |           | 
##                       |     0.011 |     0.002 |           | 
## ----------------------|-----------|-----------|-----------|
##                     8 |       118 |        44 |       162 | 
##                       |     3.054 |    18.067 |           | 
##                       |     0.728 |     0.272 |     0.011 | 
##                       |     0.009 |     0.020 |           | 
##                       |     0.008 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##                    10 |       164 |        50 |       214 | 
##                       |     1.983 |    11.731 |           | 
##                       |     0.766 |     0.234 |     0.014 | 
##                       |     0.013 |     0.023 |           | 
##                       |     0.011 |     0.003 |           | 
## ----------------------|-----------|-----------|-----------|
##          Column Total |     12830 |      2169 |     14999 | 
##                       |     0.855 |     0.145 |           | 
## ----------------------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  74.54918     d.f. =  7     p =  1.770565e-13 
## 
## 
## 
Interpretations

-P<.001 so we must reject the null hypothesis, meaning there is an association between time spent at the company and work accidents - Employees with fewer years at the company are less likley to have a work accident, 2 years at co=17.2% had accidents, 10 years at co= 23.4% had accidents

Graph
T3 <- hr
  summary_T3 <- T3 %>%
  group_by(time_spend_company) %>%
  summarise(
    pct_work_accident = mean(Work_accident == 1) * 100
  )
plot_ly(
  data = summary_T3 ,
  x = ~time_spend_company,
  y = ~pct_work_accident,
  type = "bar"
) %>%
  layout(
    title = "Employees who have been at the company longer 
    are more likley to have a Work Accident",
    xaxis = list(title = "Years at company"),
    yaxis = list(title = "Percentage of work accidents")
  )

Number Project vs. Left

CrossTable(hr$number_project , hr$left, chisq = T)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##                   | hr$left 
## hr$number_project |         0 |         1 | Row Total | 
## ------------------|-----------|-----------|-----------|
##                 2 |       821 |      1567 |      2388 | 
##                   |   547.921 |  1753.471 |           | 
##                   |     0.344 |     0.656 |     0.159 | 
##                   |     0.072 |     0.439 |           | 
##                   |     0.055 |     0.104 |           | 
## ------------------|-----------|-----------|-----------|
##                 3 |      3983 |        72 |      4055 | 
##                   |   258.355 |   826.794 |           | 
##                   |     0.982 |     0.018 |     0.270 | 
##                   |     0.349 |     0.020 |           | 
##                   |     0.266 |     0.005 |           | 
## ------------------|-----------|-----------|-----------|
##                 4 |      3956 |       409 |      4365 | 
##                   |   119.428 |   382.197 |           | 
##                   |     0.906 |     0.094 |     0.291 | 
##                   |     0.346 |     0.115 |           | 
##                   |     0.264 |     0.027 |           | 
## ------------------|-----------|-----------|-----------|
##                 5 |      2149 |       612 |      2761 | 
##                   |     0.977 |     3.128 |           | 
##                   |     0.778 |     0.222 |     0.184 | 
##                   |     0.188 |     0.171 |           | 
##                   |     0.143 |     0.041 |           | 
## ------------------|-----------|-----------|-----------|
##                 6 |       519 |       655 |      1174 | 
##                   |   157.624 |   504.433 |           | 
##                   |     0.442 |     0.558 |     0.078 | 
##                   |     0.045 |     0.183 |           | 
##                   |     0.035 |     0.044 |           | 
## ------------------|-----------|-----------|-----------|
##                 7 |         0 |       256 |       256 | 
##                   |   195.051 |   624.206 |           | 
##                   |     0.000 |     1.000 |     0.017 | 
##                   |     0.000 |     0.072 |           | 
##                   |     0.000 |     0.017 |           | 
## ------------------|-----------|-----------|-----------|
##      Column Total |     11428 |      3571 |     14999 | 
##                   |     0.762 |     0.238 |           | 
## ------------------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  5373.586     d.f. =  5     p =  0 
## 
## 
## 
Interpretations

-P<.001 so we must reject the null hypothesis, meaning there is an association between -how many projects they worked on and whether they left or not. -Employees who fell onto either extreme of number of projects, ie. 1, 6 ,7 -resulted in the highest turnover rate, all above 50% turnover - Employees who had either 3 or 4 projects complete had the lowest turnover rate of .018 and .094 -Employees who had 5 projects complete showed a moderate turnover rate of .222

Graph
T4 <- hr
summary_T4 <- T4 %>%
  group_by(number_project) %>%
  summarise(
    pct_leftT4 = mean(left == 1) *100
  )

plot_ly(
  data = summary_T4,
  x = ~number_project,
  y = ~pct_leftT4,
  type = "bar"
) %>%
  layout(
    title = "Employees on Either Extreme of Number 
    of Projects Were the Most Likley to Leave",
    xaxis = list(title = "Number of Projects"),
    yaxis = list(title = "Percentage left %")
  )