Consider the following sample data for a two-factor ANOVA analysis. There are tw
ID: 3021308 • Letter: C
Question
Consider the following sample data for a two-factor ANOVA analysis. There are two levels (heavy and light) of factor A (weight), and three levels (small, medium, and large) of factor B (size). For each combination of size and weight, there are three observations.
Size
Use the .05 significance level to answer the following questions.
Complete the ANOVA table.
(Round SS, MS and P values to 3 decimal places and F to 2 decimal places.)
Compute the p-value of Size. (Round your answer to 3 decimal places.)
Is there a difference in the Size means?
Compute the p-value of Weight. (Round your answer to 3 decimal places.)
Is there a difference in the Weight means?
Compute the p-value for interaction. (Round your answer to 3 decimal places.)
Do Size and Weight have a significant interaction?
Size Small Medium Large 23 20 11 Heavy 21 32 20 25 26 20 Weight 13 20 11 Light 32 17 23 17 15 8Explanation / Answer
Consider the following sample data for a two-factor ANOVA analysis. There are two levels (heavy and light) of factor A (weight), and three levels (small, medium, and large) of factor B (size). For each combination of size and weight, there are three observations.
ANOVA table
Source
SS
df
MS
F
p-value
Size
156.33
2
78.167
1.98
.1804
weight
98.00
1
98.000
2.48
.1410
Interaction
36.33
2
18.167
0.46
.6416
Error
473.33
12
39.444
Total
764.00
17
Compute the p-value of Size. P= 0.180 (Round your answer to 3 decimal places.)
Is there a difference in the Size means?
Since calculated P= 0.180 > 0.05 level, there is no difference in the Size means.
Compute the p-value of Weight. P= 0.141 (Round your answer to 3 decimal places.)
Is there a difference in the Weight means?
Since calculated P= 0.141 > 0.05 level, there is no difference in the weight means.
Compute the p-value for interaction. P=0.642 (Round your answer to 3 decimal places.)
Do Size and Weight have a significant interaction?
Since calculated P= 0.642 > 0.05 level, there is no significant interaction .
ANOVA table
Source
SS
df
MS
F
p-value
Size
156.33
2
78.167
1.98
.1804
weight
98.00
1
98.000
2.48
.1410
Interaction
36.33
2
18.167
0.46
.6416
Error
473.33
12
39.444
Total
764.00
17