Q3. Consider the following mathematical linear ANOVA model: yu+a+j = 1,2,3,..., k; j = 1,2,3,...,n, and En = n where, y, is the yield of ith variety of given jth treatment, u is the general mean, a, is the ith treatment effect and errors E~NID(0,02). i) Prove that TSS=SST+SSE, where TSS is total sum square, SST is sum square treatment and SSE is sum square error. ii) Find E and E( iii) Find the test statistic to test the hypothesis, Ho: a = = = iv) Find the test statistic to test the hypothesis, Ho: a, a, Vij = 1,2,3...,k.