# Mann-Whitney U Test

Statistics Solutions provides a data analysis plan template for the Mann-Whitney U Test analysis. You can use this template to develop the data analysis section of your dissertation or research proposal.

The template includes research questions stated in statistical language, analysis justification and assumptions of the analysis. Simply edit the blue text to reflect your research information and you will have the data analysis plan for your dissertation or research proposal.

**Data Analysis Plan: Mann-Whitney U Test**

Copy and paste the following into a word document to use as your data analysis plan template.

*Research Question:*

RQ: Will there be statistically significant differences on dependent variable by independent variable?

H_{o}: There will be no statistically significant differences on dependent variable by independent variable.

H_{a}: There will be statistically significant differences on dependent variable by independent variable.

*Data Analysis*

To examine the research question, a Mann-Whitney *U* test will be conducted on dependent variable by independent variable. The Mann-Whitney U test is the nonparametric equivalent to the independent *t*-test and the appropriate analysis to compare differences that come from the same population when the dependent variable is ordinal or continuous. The Mann-Whitney U test compares the number of times a score from one sample is ranked higher than a score from the other sample. The scores from both samples will be ranked together; rank 1 is used for the lowest score, rank 2 for the next lowest score, and so on. When scores have the same value, a tie is determined. The scores are ranked and those ranks are added together and then divided by the number of scores. Each of the tied scores is then assigned the same ranking. Once the data is ranked, calculations will be carried out on the ranks. The assumptions include random samples from populations, the two samples have independent observations, and the measure of the two samples have at least an ordinal scale of measurement.

**Reference**

Statistics Solutions. (2013). Data analysis plan: Mann-Whitney U Test [WWW Document]. Retrieved from http://www.statisticssolutions.com/academic-solutions/member-resources/member-profile/data-analysis-plan-templates/data-analysis-plan-mann-whitney-u-test/