Assignment Task: The CEO of Ras Al Khor incorporated has recently gathered a lot of heat due to a radical corporate restructuring and downsizing strategy. Over a period of 2 months, the firm laid off over 275 full time employees. While the HR department maintains that the severance packages are based on employee's length of service and monthly salary, several employees have complained that they have been treated unfairly.
The board of directors has appointed a legal research team to look into this matter which is responsible for determining the mechanism through which employee compensation for terminated employees was calculated and to establish if there were any instances of discrimination in the way the restructuring efforts were carried out.
Question 1: What is the aim of this research?
Question 2: Company policy specifies that each employee's severance should be determined by three factors: employee absences, length of service with the company, and monthly salary.
Identify the independent and dependent variables.
Question 3: The research team has used company data to develop the following correlation matrix.
Table 1: Correlation Analysis
|
Employee Absences
|
Length of Service
|
Monthly Salary
|
Employee Severance
|
|
Employee Absences
|
1
|
|
|
|
|
Length of Service
|
0.56
|
1
|
|
|
|
Monthly Salary
|
0.02
|
0.17
|
1
|
|
|
Employee Severance
|
-0.75
|
0.43
|
0.82
|
1
|
Evaluate the relationship between the key variables.
Question 4: Results of multiple linear regressions are provided below:
Table 2: Multiple Linear Regressions: Summary Output
|
Coefficients
|
|
Intercept
|
-0.43
|
|
Employee Absences
|
-3.23
|
|
Length of Service
|
0.25
|
|
Monthly Salary
|
7.45
|
Use this information to develop and interpret a regression equation.
Question 5: Alia Al Ketbi, one of the employees that got terminated, was awarded a severance of AED 60 thousand. She has been working with the company for 9 years, received a monthly salary of AED 12 thousand, and had a total of 3 absences in her record.
Use the regression model to determine if her severance package was fair.
Question 6: Results of the three goodness of test measures are given in the table below:
Table 3: Goodness of Fit Tests
|
R Square
|
0.42
|
|
ANOVA
|
F
|
Sig F
|
|
15.49
|
0.013
|
|
|
|
|
|
|
|
Coefficients
|
St.Error
|
t Stat
|
P-value
|
|
|
Intercept
|
-0.43
|
0.53
|
-1.2
|
0.2312
|
|
|
Employee Absences
|
-3.23
|
0.09
|
4.6
|
0.00001
|
|
|
Length of Service
|
0.25
|
0.14
|
0.2
|
0.5842
|
|
|
Monthly Salary
|
7.45
|
0.12
|
-3.1
|
0.0021
|
|
Problem 6: Use this table to comment on the goodness (quality) of the regression model.
Problem 7: The research team has also compared number of terminations across the three branches of the organization. The results are summarized in the following table:
Table 4: Anova: Single Factor: (Alpha 0.05)
|
Groups
|
Count
|
Sum
|
Average
|
Variance
|
|
Ras Al Khor Abu Dhabi
|
15
|
119
|
7.9
|
0.23
|
|
Ras Al Khor Dubai
|
15
|
92
|
6.1
|
0.15
|
|
Ras Al Khor Sharjah
|
15
|
67
|
4.5
|
0.2
|
|
ANOVA
|
|
|
|
|
|
|
|
Source of Variation
|
SS
|
df
|
MS
|
F
|
P-value
|
F crit
|
|
Between Groups
|
0.25
|
2
|
0.125
|
4.409
|
0.021
|
3.23
|
|
Within Groups
|
40.97
|
42
|
0.278
|
|
|
|
|
Total
|
41.22
|
44
|
|
|
|
|
Question 7: What conclusions can be drawn from the results presented here?
Question 8: The following table summarizes the results of a t-test for differences.
Table 5: t-Test - Severance Amount (Alpha 0.05)
|
Male
|
Female
|
|
Mean
|
79,654
|
65,432
|
|
Variance
|
0.35
|
0.21
|
|
Observations
|
100
|
150
|
|
t Stat
|
1.77
|
|
|
P(T<=t) two-tail
|
0.09
|
|
|
t Critical two-tail
|
2.08
|
|
Question 8: What hypothesis is being tested in Table 5? Interpret the results of the t test.
Question 9: Based on the findings of this research, what insight would you provide to the board of directors?
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