Score: |
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? |
|
|
|
|
|
|
|
|
|
|
|
If the null hypothesis was rejected, what is the effect size value (eta squared): |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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): |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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 Replication |
|
|
|
|
|
|
|
|
|
1.086 |
1.052 |
Do you need a similar assignment done for you from scratch? We have qualified writers to help you. We assure you an A+ quality paper that is free from plagiarism. Order now for an Amazing Discount! Use Discount Code "Newclient" for a 15% Discount!
NB: We do not resell papers. Upon ordering, we do an original paper exclusively for you.
|