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Wilcoxon Signed-Rank Test and Kruskal-Wallis Test

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a) What is the purpose of a Wilcoxon signed-rank test? Explain.

b) The Wilcoxon signed-rank test resembles which parametric test(s)? Explain.

c) What is the purpose of a Kruskal-Wallis test? Explain.

d) The Kruskal-Wallis test is analogous to which parametric test? Explain.

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This solution answers questions regarding the Wilcoxon Signed-Rank Test and the Kruskal-Wallis Test

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I will begin by answering B before A, and D before C.

b) The Wilcoxon signed-rank test resembles the t-test. The t-test is used to test if there are any differences between two groups. We use the t-test when we are able to fulfill specific conditions such as: the population is normally distributed.

a) So this being said, the Wilcoxon signed-rank test is used to test to see if there are any differences between groups when we are dealing a population is not normally distributed.
To use this test, our data needs to be measured using interval data. The test will then examine if there are any significant differences between two samples pulled from a non-normally distributed population OR, if there is any differences between a repeated measures (one sample is tested, then ...

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