Understanding the Concepts and SkillsIn each of Exercises, suppose that you want to perform a hypothesis test to compare several population means, using independent samples. In each case, decide whether you would use the one-way ANOVA test, the Kruskal–Wallis test, or neither of these tests.Preliminary data analyses of the samples suggest that the distributions of the variable are not normal and have quite different shapes.

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Understanding the Concepts and Skills
In each of Exercises, suppose that you want to perform a hypothesis test to compare several population means, using independent samples. In each case, decide whether you would use the one-way ANOVA test, the Kruskal–Wallis test, or neither of these tests.
Preliminary data analyses of the samples suggest that the distributions of the variable are not normal and have quite different shapes.

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The one-way ANOVA test is a parametric test which requires the samples to be normally distributed but non-parametric tests are distribution free tests or that are based on very less assumptions (for non-normal distributions) that includes the Kruskal–Wallis test.

 

 

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