3. Consider the one-way ANOVA model parameterized as Yij = HitEij, Eij "d N(0, 02), i = 1, . .., I, j = 1, . .., Ji. (a) Find the maximum likelihood estimates of the parameters /; ER, i = 1, . .., I, and 02 > 0. (b) Derive the likelihood ratio test for the null hypothesis Ho : M1 = . . . = #, and show that it is equivalent to the F test. (c) What are the maximum likelihood estimates when the model is reparameterized as Yij = H + Qi+ Eij, Eij ~ N(0, o' ), i = 1, ..., I, j = 1, ..., Ji, and the constraint C o; = 0 is imposed