On the exact distribution of Wilks's criterion

SUMMARY In this paper, the exact distribution of Wilks's likelihood ratio criterion, A, is obtained, and explicit expressions for A are given for p = 3, 4, 5 and 6, where p is the number of variables. The distribution is expressed as a finite series except where p and f2, the degrees of freedom, are both odd, in which case it is given in infinite series form. Lower percentage points are tabulated for selected values off2> 10, extending the tabulations of Schatzoff (1966) for the above values of p.