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.
Abdollahnezhad, K., & Aghadoust, S. (2020). Computational approach test in one-way fixed effects ANOVA models of log-normal samples. Journal of Statistical Modelling: Theory and Applications, 1(1), 1-11. doi: 10.22034/jsmta.2020.1698
MLA
Kamel Abdollahnezhad; Saba Aghadoust. "Computational approach test in one-way fixed effects ANOVA models of log-normal samples", Journal of Statistical Modelling: Theory and Applications, 1, 1, 2020, 1-11. doi: 10.22034/jsmta.2020.1698
HARVARD
Abdollahnezhad, K., Aghadoust, S. (2020). 'Computational approach test in one-way fixed effects ANOVA models of log-normal samples', Journal of Statistical Modelling: Theory and Applications, 1(1), pp. 1-11. doi: 10.22034/jsmta.2020.1698
VANCOUVER
Abdollahnezhad, K., Aghadoust, S. Computational approach test in one-way fixed effects ANOVA models of log-normal samples. Journal of Statistical Modelling: Theory and Applications, 2020; 1(1): 1-11. doi: 10.22034/jsmta.2020.1698