The following represents partial results for a one-way ANOVA: Source d.f. Sums of Squares Mean Squares F-test Between 2 300 Within Total 23 800 Given the above partially completed ANOVA table, what is the value of the F-test to determine if there is a significant difference in population means?
A. 15.67 B. 6.3 C. .375 D. 2.67
Solution:
We are given
MS = SS/df
F = MS between/MS within
The calculation table is given as below:
Source |
df |
SS |
MS |
F |
Between |
2 |
300 |
300/2 = 150 |
150/23.80952381 = 6.3 |
Within |
23 – 2 = 21 |
800 – 300 = 500 |
500/21 = 23.80952381 |
|
Total |
23 |
800 |
Answer: B. 6.3
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