researchers wanted to investigate whether factor A and Factor B would alter the
ID: 3228563 • Letter: R
Question
researchers wanted to investigate whether factor A and Factor B would alter the performance of mice in a maze. Time was recorded for the trial of the N=24 mice. Test whether a main effect of Factor A, Factor B, or an interaction occurs between the factors. Test at alpha= .05. What is the SS for factor A? Time Remaining 41 minutes Hypothesis Testing Question 2 Part 2 Researchers wanted to investigate whether Factor A and Factor B would alter the the performance of was recorded for the trial of the N 24 mice. Test whether a main effect of Factor A, Factor B, or an in between the factors. Test at alpha .05. What is the ss for Factor A? All 2 9- 2 (This is the break between A1 and A2) Please enter2 digits after the decimal point.Explanation / Answer
Answer:
Two factor ANOVA
Factor B
Means:
B1
B2
B3
A1
3.5
6.8
3.8
4.7
Factor A
A2
3.8
10.8
3.5
6.0
3.6
8.8
3.6
5.3
4
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor A
10.67
1
10.667
5.19
0.0352
Factor B
140.08
2
70.042
34.07
0.0000
Interaction
21.58
2
10.792
5.25
0.0160
Error
37.00
18
2.056
Total
209.33
23
SS for Factor A =10.67
Factor A: Calculated F=5.19, P=0.0352 which is < 0.05 level. Ho is rejected. Factor A is significant.
Factor B: Calculated F=34.07, P=0.0000 which is < 0.05 level. Ho is rejected. Factor B is significant.
Interaction: Calculated F=5.25, P=0.0160 which is < 0.05 level. Ho is rejected. Interaction is significant.
Two factor ANOVA
Factor B
Means:
B1
B2
B3
A1
3.5
6.8
3.8
4.7
Factor A
A2
3.8
10.8
3.5
6.0
3.6
8.8
3.6
5.3
4
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor A
10.67
1
10.667
5.19
0.0352
Factor B
140.08
2
70.042
34.07
0.0000
Interaction
21.58
2
10.792
5.25
0.0160
Error
37.00
18
2.056
Total
209.33
23
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