Question: The results of a one-way ANOVA are reported below. Source of variation
ID: 3272166 • Letter: Q
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Question: The results of a one-way ANOVA are reported below. Source of variation SS df MS F ...
The results of a one-way ANOVA are reported below.
Source of variation
SS
df
MS
F
Between groups
6.90
2
3.45
5.15
Within groups
12.04
18
0.67
Total
19.34
20
How many treatments are there in the study?
What is the total sample size?
What is the critical value of F?
Write out the null hypothesis and the alternate hypothesis?
What is your decision regarding the null hypothesis?
Can we conclude any of the treatment means differ?
Source of variation
SS
df
MS
F
Between groups
6.90
2
3.45
5.15
Within groups
12.04
18
0.67
Total
19.34
20
Explanation / Answer
How many treatments are there in the study?
Between groups df = 2
Therefore, number of treatments = 2+1=3
What is the total sample size?
Total df = 20
Therefore, total sample size = 20+1=21
What is the critical value of F?
By using F table, critical value of F at df1=2 and df2=18 and 0.05 level of significance is 3.55.
Write out the null hypothesis and the alternate hypothesis?
Null: There is no significant difference between group means
Alternative: Atleast one group mean is different from others.
What is your decision regarding the null hypothesis?
Since F=5.15 is greater than critical value of F, reject the null hypothesis.
Can we conclude any of the treatment means differ?
Yes because null hypothesis is rejected.
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