1. How are independent samples t-tests and One-way ANOVAs similar? How do the two tests differ?
2. What is the F-ratio? That is, what makes up the top and bottom portions of the F-ratio?
3.
A social psychologist conducted a study examining the effectiveness of two persuasion techniques. She found the following information in her ANOVA table:
SS between = 45.55
SS within = 30.22
SS total = 75.77
Using eta squared, calculate the effect size for her study? What does this mean? (Points : 10)
4.
A researcher is interested in how caffeine affects stress. One group gets no caffeine and the other gets 3 cups of coffee.
Complete the ANOVA table
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
A-group
|
150
|
1
|
|
|
|
S/A (error)
|
25
|
18
|
|
|
|
Total
|
175
|
19
|
|
|
Fill-in the missing A-group MS value:
5.
A researcher is interested in how caffeine affects stress. One group gets no caffeine and the other gets 3 cups of coffee.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
A-group
|
150
|
1
|
|
|
|
S/A (error)
|
25
|
18
|
|
|
|
Total
|
175
|
19
|
|
|
Fill-in the missing S/A MS value:
6.
A researcher is interested in how caffeine affects stress. One group gets no caffeine and the other gets 3 cups of coffee.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
A-group
|
150
|
1
|
|
|
|
S/A (error)
|
25
|
18
|
|
|
|
Total
|
175
|
19
|
|
|
Fill-in the missing F value:
7.
A researcher is interested in how caffeine affects stress. One group gets no caffeine and the other gets 3 cups of coffee.
Complete the ANOVA table
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
A-group
|
150
|
1
|
|
|
|
S/A (error)
|
25
|
18
|
|
|
|
Total
|
175
|
19
|
|
|
Find F-critical.
8.
A researcher is interested in how caffeine affects stress. One group gets no caffeine and the other gets 3 cups of coffee.
Complete the ANOVA table
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
A-group
|
150
|
1
|
|
|
|
S/A (error)
|
25
|
18
|
|
|
|
Total
|
175
|
19
|
|
|
Are the two groups significantly different?
9.
A researcher is interested in how caffeine affects stress. One group gets no caffeine and the other gets 3 cups of coffee.
Complete the ANOVA table
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
A-group
|
150
|
1
|
|
|
|
S/A (error)
|
25
|
18
|
|
|
|
Total
|
175
|
19
|
|
|
Interpret the results (remember to address the research question)
10.
A researcher is interested in how caffeine affects stress. One group gets no caffeine and the other gets 3 cups of coffee.
Complete the ANOVA table
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
A-group
|
150
|
1
|
|
|
|
S/A (error)
|
25
|
18
|
|
|
|
Total
|
175
|
19
|
|
|
Write the results statiscally
11. A clinical psychologist is examining the effects of different types of therapy on reducing schizophrenic symptoms. Patients are assigned to no therapy, psychoanalysis, behavioral therapy, or cognitive therapy. The ANOVA is significant.
What should the psychologist do next?
12.
Dr. Iforgot cannot seem to remember how to calculate an ANOVA. Complete the missing information in the ANOVA summary table below.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
Effect A
|
5.04
|
1
|
|
|
|
Effect B
|
7.04
|
1
|
|
|
|
A X B
|
7.05
|
1
|
|
|
|
Within (S/AB)
|
16.83
|
20
|
.84
|
|
|
Total
|
35.96
|
23
|
|
|
Fill-in the missing Effect A MS value:
13.
Dr. Iforgot cannot seem to remember how to calculate an ANOVA. Complete the missing information in the ANOVA summary table below.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
Effect A
|
5.04
|
1
|
|
|
|
Effect B
|
7.04
|
1
|
|
|
|
A X B
|
7.05
|
1
|
|
|
|
Within (S/AB)
|
16.83
|
20
|
.84
|
|
|
Total
|
35.96
|
23
|
|
|
Fill-in the missing Effect A F value:
14.
Dr. Iforgot cannot seem to remember how to calculate an ANOVA. Complete the missing information in the ANOVA summary table below.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
Effect A
|
5.04
|
1
|
|
|
|
Effect B
|
7.04
|
1
|
|
|
|
A X B
|
7.05
|
1
|
|
|
|
Within (S/AB)
|
16.83
|
20
|
.84
|
|
|
Total
|
35.96
|
23
|
|
|
Fill-in the missing Effect B MS value:
15.
Dr. Iforgot cannot seem to remember how to calculate an ANOVA. Complete the missing information in the ANOVA summary table below.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
Effect A
|
5.04
|
1
|
|
|
|
Effect B
|
7.04
|
1
|
|
|
|
A X B
|
7.05
|
1
|
|
|
|
Within (S/AB)
|
16.83
|
20
|
.84
|
|
|
Total
|
35.96
|
23
|
|
|
Fill-in the missing Effect B F value:
16.
Dr. Iforgot cannot seem to remember how to calculate an ANOVA. Complete the missing information in the ANOVA summary table below.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
Effect A
|
5.04
|
1
|
|
|
|
Effect B
|
7.04
|
1
|
|
|
|
A X B
|
7.05
|
1
|
|
|
|
Within (S/AB)
|
16.83
|
20
|
.84
|
|
|
Total
|
35.96
|
23
|
|
|
Fill-in the missing A X B MS value:
17.
Dr. Iforgot cannot seem to remember how to calculate an ANOVA. Complete the missing information in the ANOVA summary table below.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
Effect A
|
5.04
|
1
|
|
|
|
Effect B
|
7.04
|
1
|
|
|
|
A X B
|
7.05
|
1
|
|
|
|
Within (S/AB)
|
16.83
|
20
|
.84
|
|
|
Total
|
35.96
|
23
|
|
|
Fill-in the missing A X B F value:
18.
Dr. Iforgot cannot seem to remember how to calculate an ANOVA. Complete the missing information in the ANOVA summary table below and answer the question that follows.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
Effect A
|
5.04
|
1
|
|
|
|
Effect B
|
7.04
|
1
|
|
|
|
A X B
|
7.05
|
1
|
|
|
|
Within (S/AB)
|
16.83
|
20
|
.84
|
|
|
Total
|
35.96
|
23
|
|
|
What type of ANOVA?
19.
Dr. Iforgot cannot seem to remember how to calculate an ANOVA. Complete the missing information in the ANOVA summary table below and answer the question that follows.
|
ANOVA Summary Table
|
|
Source
|
SS
|
df
|
MS
|
F
|
|
Effect A
|
5.04
|
1
|
|
|
|
Effect B
|
7.04
|
1
|
|
|
|
A X B
|
7.05
|
1
|
|
|
|
Within (S/AB)
|
16.83
|
20
|
.84
|
|
|
Total
|
35.96
|
23
|
|
|
Which effects are significant?