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

Mutlu H. T., GÖKPINAR F., GÖKPINAR E., Gul H. H., GÜVEN G.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, vol.46, no.16, pp.8236-8256, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 16
  • Publication Date: 2017
  • Doi Number: 10.1080/03610926.2016.1177082
  • Journal Name: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.8236-8256
  • Keywords: Computational approach test, One-way ANOVA, Heteroscedasticity, UNEQUAL VARIANCES, EQUALITY
  • Gazi University Affiliated: Yes

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.