10.10 Show that under H0 : u1 u2 uk the distribution...

10.10 Show that under H0 : u1 ¼ u2 ¼    ¼ uk the distribution of V*, the sum test statistic for comparisons with a control when u1 is known in the case of unequal sample sizes defined in Section 10.7.1, is given by P[V* ¼ v] ¼ (0:5)N XYk i¼2 ni vi  
where N ¼
Pki ¼2 ni, and the sum is over all vi¼0, 1, . . . , ni, for i¼2, 3, . . . , k such that Pki ¼2 (vi=ni) ¼ v. Enumerate the probability distribution of V* when (1) n2 ¼ n3 ¼ 3 and (2) n2 ¼ n3 ¼ 2.