The following table summarizes the results of a two-factor ANOVA evaluating an i
ID: 3434943 • Letter: T
Question
The following table summarizes the results of a two-factor ANOVA evaluating an independent-measures experiment with two levels of factor A, three levels of factor B, and n = 8 participants in each treatment condition. Again, use the lecture notes as your guide for this.
a. Fill in ALL missing values in the table that have a question mark.
b. Calculate F for each main effect and for the interaction. State if there is a significant main effect for either factor A or factor B, and if there is a significant interaction. Use an alpha of .01.
c. Compute ?2 (the percentage of variance accounted for) for each of the main effects and for the interaction. .
Source
SS
Df
MS
F
Between tx
124
5?
24.8?
Factor A
40
1?
40?
FA=10?
Factor B
64?
2?
32
FB=8?
A x B
20?
2?
10?
Faxb =2.5?
Within Tx
168?
42?
4?
Total
292
47?
State the F value for each effect (Factor A, B and AxB), state the critical value of F for each test, and state whether F is significant, and whether you can or cant reject the null hypothesis.
2 points Factor A -.
2 points Factor B
2 point Interaction AxB
Calculate the variance explained by factors A, B and Ax B, separately.
1 point Factor A
1 point Factor B
1 point Interaction AxB -
Source
SS
Df
MS
F
Between tx
124
5?
24.8?
Factor A
40
1?
40?
FA=10?
Factor B
64?
2?
32
FB=8?
A x B
20?
2?
10?
Faxb =2.5?
Within Tx
168?
42?
4?
Total
292
47?
Explanation / Answer
a. The ANOVA table is
Source
SS
Df
MS
F
Between tx
124
5
24.8
Factor A
40
1
40
FA=10
Factor B
64
2
32
FB=8
A x B
20
2
10
Faxb =2.5
Within Tx
168
42
4
Total
292
47
b. F value and critical value for each effect (Factor A, B and AxB)
Source
SS
Df
MS
F
Between tx
124
5
24.8
Factor A
40
1
40
FA=10
Factor B
64
2
32
FB=8
A x B
20
2
10
Faxb =2.5
Within Tx
168
42
4
Total
292
47
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