Question

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

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

Given information

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

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.