One-way ANOVA with Bimodal Error Terms

In this paper, we assume the error distribution of one-way ANOVA as alpha-skew normal distribution. Alpha-skew gives us exibility for modelling data which has heavy tailness, skewness, bimodality and also symmetricity. We obtain maximum likelihood estimator model parameters test statistics based on these estimators. Monte Carlo simulation study states that estimators interest are more efficient than corresponding traditional normality. Additionally, is much powerful theory. At end study, a real-life example made just illustration proposed methodology.