ABSTRACT

Since 0=V=1, these moments determine the distribution of V uniquely. Since these moments are independent of SD when H0 is true, from (8.63) it follows that when

H0 is true V is distributed as where the Xij are independently distributed central beta random variables with parameters

If all the pi are even, pi=2ri (say), then under H0, V is distributed as where the Yij, are independently distributed central beta random variables with parameters ((N-di-1-2j), di-1).