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Can the Kruskal-Wallis test be used for comparing more than three groups?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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Question

Can the Kruskal-Wallis test be used for comparing more than three groups?

Expert Solution

Step 1

Answer: Yes, the Kruskal-Wallis test can be used for comparing more than three groups. In fact, it can be used for comparing any number of independent groups. The test statistic, H, is calculated in the same way, regardless of the number of groups being compared, and the degrees of freedom for the test are (k-1), where k is the number of groups. When comparing more than three groups, the Kruskal-Wallis test provides a way to determine if there are any significant differences between the medians of the groups, and post-hoc tests can be performed to make specific comparisons between pairs of groups.

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