Question

assume three groups with five samples in each group. calculate the degrees of freedom between, and the degrees of freedom within. refer to the f distribution table below.

Explanation:

Step1: Calculate degrees of freedom between

The formula for degrees of freedom between groups ($df_{Between}$) is $k - 1$, where $k$ is the number of groups. Here, $k = 3$.
$df_{Between}=3 - 1=2$

Step2: Calculate degrees of freedom within

The formula for degrees of freedom within groups ($df_{Within}$) is $n - k$, where $n$ is the total number of samples. Since there are 3 groups with 5 samples each, $n=3\times5 = 15$.
$df_{Within}=15 - 3=12$

Answer:

Degrees of freedom between: $2$, Degrees of freedom within: $12$