A new computational approach test for one-way ANOVA under heteroscedasticity

ABSTRACT

This paper proposes a new test statistic based on the computational approach test (CAT) for one-way analysis of variance (ANOVA) under heteroscedasticity. The proposed test was compared with other popular tests according to type I error and power of tests under different combinations of variances, means, number of groups and sample sizes. As a result, it was observed that the proposed test yields better results than other tests in many cases.

KEYWORDS:

• Computational approach test
• One-way ANOVA
• Heteroscedasticity.

MATHEMATICS SUBJECT CLSSIFICATION:

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Acknowledgments

The authors are thankful to the anonymous referees, whose comments and suggestions greatly improved the article.