Let nqS2q/[theta]q for q = 1,...,Q represent independently distributed chi-squared random variables with nq degrees of freedom. This paper considers the construction of one-sided confidence intervals on [gamma] = [Sigma]Qqcq[theta]q where cq [greater-or-equal, slanted] 0 for all q.

In variance component models, the ratio [rho] is often of interest, where [rho] = ([Sigma]pq=1kq[theta]q)/([Sigma]Qr=P+1kr[theta]r), kq0, kr\s;0, and [theta]q, [theta]r are expected mean squares from an analysis of variance table, Q=1,..., P; r = P+1,..., Q. This paper pre methods for...