An analysis of variances produces df between = 3 and dfwᵢthᵢn = 24.If each treatment has the same number of participants,then how many participants are in each treatment?
A)6
B)7
C)8
D)9

Question

Quizplus · Accepted Answer

We can use the formula for degrees of freedom within groups:

dfwᵢthᵢn = (N - k) where N is the total number of participants and k is the number of treatment groups

And the formula for degrees of freedom between groups:

df between = k - 1

Substituting the given values, we get:

3 = k - 1
k = 4

24 = (N - 4)
N = 28

So, each treatment group has N/k = 28/4 = 7 participants. Therefore, the best choice is B) 7.

An Analysis of Variances Produces Df Between = 3 and Dfwᵢthᵢn