Answer:
K = 4 ; N = 106
Step-by-step explanation:
Given the following :
Source of VARIATION - SS - df - - MS - - - - - F
Between groups - 1,959.79 - 3 - - 653.26 - 21.16*
Error - - - - - - - - 3,148.61 - - - - 102 - - 30.86
Total - - - - - - - - - - - 5,108.41 - 105
The degree of freedom between group (treatment) (DFT) is obtained using the formula ;
K - 1, where k = number of groups observed
DFT = K - 1 ; From the ANOVA table, DFT = 3
3 = K - 1
3 + 1 = K
K = 4
To obtain sample size (N) :
Degree of freedom of Error (DFE) is the difference between the sample size and the number of groups observed.
DFE = N - K ; From. The table DFE = 102 ; K = 4
102 = N - 4
102 + 4 = N
N = 106
