How does the one factor independent ANOVA partition variability in the experiment? How is this related...
How does the one factor independent ANOVA partition variability in the experiment? How is this related to the F ratio.
Homework Answers
Ans:
For one factor independent ANOVA:
SS(total)=SS(between)+SS(within)
df(between)=k-1
df(within)=N-k
where,k=number of groups
N=total number of subjects
Mean squares between groups,MS(between)=SS(between)/(k-1)
Mean squares within groups,MS(within)=SS(between)/(N-k)
Now,
F ratio=MS(between)/MS(within)
F ratio is ratio of variability between groups and variability within groups.
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