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Chapter 13: Q10CQQ (page 597)

Which Test? Three different judges give the same singers ratings on a scale of 0 to 10. What method of this chapter can be used to determine whether one of the judges is tougher or more lenient than the others, as indicated by a median rating that is significantly different from the others?

Short Answer

Expert verified

The Kruskal-Wallis test can be appropriately used to test whether the median ratings of three judges differ significantly or not.

Step by step solution

01

Given information

Three judges have given ratings to singers on a scale of 0 to 10.

02

Kruskal-Wallis test

The KruskalWallis test is a non-parametric test that helps to test the difference in the median value of three or more samples. This test is known to be the non-parametric counterpart of the one-way ANOVA test.

Here, there are threejudges. Hence, there are three samples.

To test if there is a significant difference in the median ratings of the three judges, the Kruskal-Wallis test can be appropriately used.

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5.3

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5.5

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