One of Modified Confidence Intervals using Tukey-Williams Method in One-Factor Components-of-Variance Model

The confidence intervals for sigma_A^2 are given in various forms by many authors in one-factor component-of-variance model y_ij =mu + A_i +e_ij. In this model, Graybill and Wang s(1980) confidence intervals by using Tukey(1951)-Willams (1962) method for sigma_A^2 are given by an asymptotic confidence intervals. The simulation results of confidence coefficients are not fit exactly for the given confidence coefficients. Thus, we would like to give a method of the better confidence intervals and we can find out the better confidence intervals for sigma_A^2 for the given Graybill and Wang s(1980) confidence intervals by using Tukey(1951)-Willams (1962) method in one-factor components-of-variance model.