For an indenpendent- measures ANOVA comparing three treatments with a sample of n=5 in each treatment, what is the critical value for the F-ratio using a=.05?

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For an indenpendent- measures ANOVA comparing three treatments with a sample of n=5 in each treatment, what is the critical value for the F-ratio using a=.05?

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Step 1

Given Anova is used among three treatments.

So number of treatments = k = 3.

degree of freedom between treatments   =k-1 = 3-1 =2

sample size of 5 in each treatment. So n1 = 5  n2 = 5   n3 = 5

Total sample size = N =n1+ n2+n3 = 5+5+5=15

Degree of freedom within treatments = N-k = 15-3 = 12

So the Anova has a distribution F with degree of freedoms 2,15---F2,15

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