Quantitative Research Methods, non parametric analysis

I need help with a Mathematics question. All explanations and answers will be used to help me learn.

Consider the following scenario:

There are numerous times when the information collected from a real organization will not conform to the requirements of a parametric analysis. That is, a practitioner would not be able to analyze the data with a t-test or f-test (ANOVA). Presume that a young professional had read about tests-such as the Chi-Square, the Mann-Whitney U test, the Wilcoxon Signed-Rank test, and Kruskal-Wallis one-way analysis of variance-and wants to know when it is appropriate to use each test, what each test is used for, and why each would be used instead of the t-tests and ANOVA. How would you address this person’s concerns?

t-test, f-test (ANOVA)


Mann-Whitney U

Wilcoxon Signed-Rank

Kruskal-Wallis one-way analysis of variance

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