The nonparametric tests that are being performed in this unit (Mann-Whitney U, the nonparametric equivalent of the independent t-test and the Wilcoxon Test, the nonparametric

 Statistical Practice: Mann-Whitney and Wilcoxon Signed Rank (Nonparametric) Tests

The nonparametric tests that are being performed in this unit (Mann-Whitney U, the nonparametric equivalent of the independent t-test and the Wilcoxon Test, the nonparametric equivalent of the dependent t-test) are most often used if the interval or ratio data is not normally distributed or if the data being analyzed is at the ordinal (ranked) measurement level.

Tobest prepare for the upcoming assignments, you must understand how to perform and interpret paired t-tests.

Instructions

For this discussion, we will use the data scenario we described in Unit 8 (the various group comparisons for well-being), but we will pretend that the normal distribution assumption that we tested was violated (this is, test results suggest that the data is not normally distributed). You will perform a nonparametric Mann-Whitney test and a Wilcoxon signed-rank on the appropriate data.

Complete the following:

Describe, in your own words, an example of the type of research project scenarios where you should use these nonparametric statistical tests.

Report, using the Emotional Well-Being data set you created previously, the results of the two nonparametric tests that you perform. Be sure to include all relevant statistical outcomes.

Provide a one- or two-sentence practical interpretation of the results.

Remember to refer to the guidelines in the FEM as you prepare your post.

Response Guidelines

Read and respond to the posts of your peers according to the guidelines in the FEM.

Address one of more of the following in your response:

How do the challenges and resolutions of your peers compare to yours?

How do your practical interpretations compare to those of your peers?

Resources

Discussion Participation Scoring Guide.

Emotional Well-Being (SF-36) Study Data Set [XLSX].

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