Consider the one-way unbalanced groups ANOVA model Yij=u+di+Eij with i = 1,...,1; j = 1,...,J; and i; ' (0,02). Assume the I groups are independent and -1 0 = 0. Consider the contrast L=E-CM, and suppose we want to test Ho: L=0 versus the alternative H:L0. Consider the test statistics L MSE-E-11 where L =

Consider the one-way unbalanced groups ANOVA model with / = 1. ...,/; j =1, ....J, and ey ~ N(0,62). Assume the / groups are independent and )_1 0 =0. Consider the contrast L = D' Gui, and suppose we want to test Ho : L = 0 versus the alternativeHI :L#0. Consider the test statistics MSE . )=1 where Z = LGV, MSE denotes the Mean Square Error in the ANOVA table associated with the / groups of the one-way ANOVA model. Show that under the null hypothesis Ho : L = 0, the test statistic f follows a f- distribution with )- / degrees of freedom