Some Probability Range of Confidence Intervals on the Linear Combinations of Variances

The confidence intervals for variance A of the ratio of total variance in the two-factor nested variance component model with equal numbers in the cells is given by various forms by many authors. This article shows that some of these forms of probability ranges of Wang s and Broemeling s confidence intervals for variance A of total variance are equals and whether grater than 1- α or not in the two-factor nested variance component model.