computational approach test in one-way fixed effects anova models of log-normal samples

We apply a recently developed computational approach test to the one-way fixed effects anova models of log-normal data with unequal variances. the merits of the proposed test are numerically compared with the existing tests - the james second order test, the welch test and the alexander-govern test - with respect to their sizes and powers in different combinations of parameters and various sample sizes. the simulation results demonstrate that the proposed method is satisfactory: its type i error probability is very close to the nominal level. we illustrate these approaches using a real example.