Calculate the SST Total Variation utilizing the information

Calculate the SST (Total Variation) utilizing the information provided in the ANOVA table below.

Solution

Note that

SST = SSB + SSW

Here,

SSB = dfB*var(B) = 3*30 = 90

Also,

var(W) = var(B)/F = 30/10 = 3

Thus,

SSW = dfW*var(W) = 10*3 = 30

Thus,

SST = SSB + SSW = 90 + 30 =120 [ANSWER]