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Questions and Answers
What is the Mann-Whitney U test used for?
What is the Mann-Whitney U test used for?
determine whether there is a significant difference between the distributions of two independent groups
Which assumption is NOT required for the Mann-Whitney U test?
Which assumption is NOT required for the Mann-Whitney U test?
- Continuous variable being compared
- Randomly selected independent samples
- Similar shape of data across the two groups
- Normal distribution of data (correct)
In a Mann-Whitney U test, what is the null hypothesis?
In a Mann-Whitney U test, what is the null hypothesis?
The effectiveness of two different teaching methods on student performance are the same
In a Mann-Whitney U test, what is the alternative hypothesis?
In a Mann-Whitney U test, what is the alternative hypothesis?
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Study Notes
Mann-Whitney U Test
- A non-parametric test used to determine whether there is a significant difference between the distributions of two independent groups.
- Also known as the Wilcoxon rank-sum test.
- Used to test whether two samples are likely to derive from the same population (i.e., that the two populations have the same shape).
Assumptions of Mann-Whitney U Test
- The variable being compared between the two groups must be continuous.
- The data are assumed to take a non-Normal, or skewed, distribution.
- The data are assumed to be similar in shape across the two groups.
- The data should be two randomly selected independent samples, meaning the groups have no relationship to each other.
- Sufficient sample size is needed for a valid test, usually more than 5 observations in each group.
Running Mann-Whitney U Test
- State the null hypothesis and alternate hypothesis.
- Formulate an analysis plan.
- Calculate the test statistic.
- Interpret your results.
Sample Scenarios
- Comparing customer satisfaction scores between two different store locations.
- Comparing student performance between two different teaching methods.
Example Problem
- A researcher wants to compare the effectiveness of two different teaching methods on student performance.
- The null hypothesis is that the effectiveness of the two teaching methods are the same.
- The alternative hypothesis is that the effectiveness of the two teaching methods are not the same.
- The test is run with a 95% level of confidence and a p-value significance level.
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Description
Understand the Mann-Whitney U test, a non-parametric test used to determine if there is a significant difference between the distributions of two independent groups.
