The ANOVA F-test to compare the means of k normally distributed populations is not applicable when the variances are unknown, and not known to be equal. A spacial case, k=2, is the famous Behrens-Fisher problem (Behrens, 1929; Fisher, 1935). Welch (1951) test was proposed to fill this...
the Games-Howell test does not assume equal variances and sample sizes. The test was designed based on Welch’s degrees of freedom correction and uses Tukey’s studentized range distribution, denoted q. The Games
Biostatistics Comparing Welch ANOVAa Kruskal-Wallis testand traditional ANOVA in case of heterogeneity of variance VIRGINIA COMMONWEALTH UNIVERSITY Wen Wan LiuHangchengAnalysis of variance (ANOVA) is a robust test against the normality assumption, but it may be inappropriate when the assumption of ...
This study concerns the allocation schemes of group sizes for Welch's test in a one-way heteroscedastic ANOVA. Optimal allocation approaches are presented for minimizing the total cost while maintaining adequate power and for maximizing power performance for a fixed cost. The commonly recommended ...
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