One of the Variance Ratios of Modified Wang s Confidence Intervals

The confidence intervals for σ²_A/σ²_C in the two-factor nested variance component model with equal numbers in the cells are given in various forms by many authors. And some of the problems of probability of confidence intervals for σ²_A/σ²_C were given by asymptotic confidence intervals. But we don t know whether they fit exactly the given confidence coefficient 1- α or not. From Kang s(2004a) results, the probability ranges of Wang s(1978) confidence intervals for σ²_A/σ²_C are 1- α or greater than 1- α . In this case, we can give the method of the better confidence intervals and we can find out which is the better confidence intervals for the given Wang s(1978) confidence intervals.