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# May I please get your assistance again. I hope you are having a great

day. If possible can you have it ready by 3/7/2015 by noon. Please and thank you.

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Week 3
ANOVA and Paired T-test
At this point we know the following about male and female salaries.
a.
Male and female overall average salaries are not equal in the population.
b.
Male and female overall average compas are equal in the population, but males are a bit more spread out.
c.
The male and female salary range are almost the same, as is their age and service.
d.
Average performance ratings per gender are equal.
Let's look at some other factors that might influence pay - education(degree) and performance ratings.
<1 point>
1
Last week, we found that average performance ratings do not differ between males and females in the population.
Now we need to see if they differ among the grades. Is the average performace rating the same for all grades?
(Assume variances are equal across the grades for this ANOVA.)
You can use these columns to place grade Perf Ratings if desired.
A
B
C
D
E
F
Null Hypothesis:
Alt. Hypothesis:
Place
B17 in Outcome range box.
Interpretation:
What is the p-value:
Is P-value < 0.05?
Do we REJ or Not reject the null?
Meaning of effect size measure:
What does that decision mean in terms of our equal pay question:
<1 point>
2
While it appears that average salaries per each grade differ, we need to test this assumption.
Is the average salary the same for each of the grade levels? (Assume equal variance, and use the analysis toolpak function ANOVA.)
Use the input table to the right to list salaries under each grade level.
Null Hypothesis:
If desired, place salaries per grade in these columns
Alt. Hypothesis:
A
B
C
D
E
F
Place
B55 in Outcome range box.
What is the p-value:
Is P-value < 0.05?
Do you reject or not reject the null hypothesis:
If
the null hypothesis was rejected, what is the effect size
value (eta squared):
If
the null hypothesis was rejected, what is the effect size
value (eta squared):

Meaning of effect size measure:
Interpretation:
<1 point>
3
The table and analysis below demonstrate a 2-way ANOVA with replication.
Please interpret the results.
BA
MA
Ho: Average compas by gender are equal
Male
1.017
1.157
Ha: Average compas by gender are not equal
0.870
0.979
Ho: Average compas are equal for each degree
1.052
1.134
Ha: Average compas are not equal for each degree
1.175
1.149
Ho: Interaction is not significant
1.043
1.043
Ha: Interaction is significant
1.074
1.134
1.020
1.000
Perform analysis:
0.903
1.122
0.982
0.903
Anova: Two-Factor With Replica±on
1.086
1.052
1.075
1.140
SUMMARY BA
MA
Total
1.052
1.087
Male
Female
1.096
1.050
Count
12
12
24
1.025
1.161
Sum
12.349
12.9
25.249
1.000
1.096
Average
1.029083333
1.075 1.0520417
0.956
1.000
Variance
0.006686447 0.0065198
0.006866
1.000
1.041
1.043
1.043
Female
1.043
1.119
Count
12
12
24
1.210
1.043
Sum
12.791
12.787
25.578
1.187
1.000
Average
1.065916667 1.0655833
1.06575
1.043
0.956
Variance
0.006102447 0.0042128 0.0049334
1.043
1.129
1.145
1.149
Total
Count
24
24
Sum
25.14
25.687
Average
1.0475 1.0702917
Variance
0.006470348 0.0051561
ANOVA
Source of Varia
SS
df
MS
F
P-value
F crit
Sample
0.002255021
1
0.002255 0.3834821
0.538939 4.0617065
(This is the row variab
Columns
0.006233521
1 0.0062335
1.060054 0.3088296 4.0617065
(This is the column va
Interac±on 0.006417188
1 0.0064172 1.0912878 0.3018915 4.0617065
Within
0.25873675
44 0.0058804
Total
0.273642479
47
Interpretation:
For Ho: Average compas by gender are equal Ha: Average compas by gender are not equal
What is the p-value:
Is P-value < 0.05?
Do you reject or not reject the null hypothesis:
Meaning of effect size measure:
For Ho: Average compas are equal for all degrees
Ha: Average compas are not equal for all grades
What is the p-value:
Is P-value < 0.05?
Do you reject or not reject the null hypothesis:
Meaning of effect size measure:
For: Ho: Interaction is not significant Ha: Interaction is significant
What is the p-value:
Is P-value < 0.05?
Do you reject or not reject the null hypothesis:
Meaning of effect size measure:
What do these decisions mean in terms of our equal pay question:
Place data values in the
<1 point>
4
Many companies consider the grade midpoint to be the "market rate" - what is needed to hire a new employee.
Salary
Midpoint
If
the null hypothesis was rejected, what is the effect size
value (eta squared):
If
the null hypothesis was rejected, what is the effect size
value (eta squared):
If
the null hypothesis was rejected, what is the effect size
value (eta squared):

End of preview

ID
Salary
Compa
Midpoint
Age
Service Gender
Raise
1
56.5
0.992
57
34
85
8
0
5.7
2
28.3
0.913
31
52
80
7
0
3.9
3
34
1.097
31
30
75
5
1
3.6
4
64.5
1.132
57
42
100
16
0
5.5
5
46.6
0.971
48
36
90
16
0
5.7
6
75.6
1.129
67
36
70
12
0
4.5
7
41.6
1.040
40
32
100
8
1
5.7
8
24.6
1.070
23
32
90
9
1
5.8
9
74.6
1.114
67
49
100
10
0
4
10
24
1.044
23
30
80
7
1
4.7
11
24.3
1.055
23
41
100
19
1
4.8
12
57.9
1.015
57
52
95
22
0
4.5
13
41.9
1.047
40
30
100
2
1
4.7
14
24.5
1.066
23
32
90
12
1
6
15
23.1
1.005
23
32
80
8
1
4.9
16
41.1
1.027
40
44
90
4
0
5.7
17
71.8
1.259
57
27
55
3
1
3
18
34.2
1.104
31
31
80
11
1
5.6
19
23.8
1.036
23
32
85
1
0
4.6
20
34.3
1.106
31
44
70
16
1
4.8
21
78.5
1.171
67
43
95
13
0
6.3
22
54.9
1.143
48
48
65
6
1
3.8
23
23.3
1.015
23
36
65
6
1
3.3
24
55.9
1.165
48
30
75
9
1
3.8
25
23.7
1.029
23
41
70
4
0
4
26
23.8
1.036
23
22
95
2
1
6.2
27
38.7
0.967
40
35
80
7
0
3.9
28
76.7
1.145
67
44
95
9
1
4.4
29
75.9
1.133
67
52
95
5
0
5.4
30
48.5
1.011
48
45
90
18
0
4.3
31
22.3
0.970
23
29
60
4
1
3.9
32
27
0.871
31
25
95
4
0
5.6
33
61.4
1.077
57
35
90
9
0
5.5
34
27.8
0.898
31
26
80
2
0
4.9
35
22.8
0.992
23
23
90
4
1
5.3
36
24.7
1.075
23
27
75
3
1
4.3
37
23.3
1.014
23
22
95
2
1
6.2
38
56.8
0.997
57
45
95
11
0
4.5
Performance
Rating

39
36.1
1.165
31
27
90
6
1
5.5
40
24
1.045
23
24
90
2
0
6.3
41
47.3
1.182
40
25
80
5
0
4.3
42
21.9
0.950
23
32
100
8
1
5.7
43
75.6
1.128
67
42
95
20
1
5.5
44
57.2
1.003
57
45
90
16
0
5.2
45
53.1
1.107
48
36
95
8
1
5.2
46
58.1
1.019
57
39
75
20
0
3.9
47
61
1.071
57
37
95
5
0
5.5
48
64.6
1.134
57
34
90
11
1
5.3
49
66.3
1.163
57
41
95
21
0
6.6
50
57.5
1.008
57
38
80
12
0
4.6

End of preview

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Score: Week 3 ANOVA and Paired T-test At this point we know the following about male and female salaries. Male and female overall average salaries...

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