For an experiment involving 2 levels of factor A and 4 levels of factor B with a sample of
n = 5 in each treatment condition, what is the value for dfwithin?
To calculate the degrees of freedom within (dfwithin) for an experiment involving 2 levels of factor A and 4 levels of factor B with a sample size of n = 5 in each treatment condition, we need to consider the total number of observations and the number of factors.
The formula to calculate dfwithin is:
dfwithin = N - k
Where N is the total number of observations and k is the number of treatment combinations.
In this case, we have 2 levels of factor A and 4 levels of factor B. To calculate the total number of treatment combinations, we simply multiply the number of levels for each factor:
k = 2 x 4 = 8
Now, since we have n = 5 samples in each treatment condition, the total number of observations (N) can be calculated by multiplying the sample size by the number of treatment combinations:
N = n x k = 5 x 8 = 40
Finally, we can calculate dfwithin:
dfwithin = N - k = 40 - 8 = 32
Therefore, the value for dfwithin in this experiment is 32.