How do you interpret the Mann-Whitney U test?

When computing U, the number of comparisons equals the product of the number of values in group A times the number of values in group B. If the null hypothesis is true, then the value of U should be about half that value. If the value of U is much smaller than that, the P value will be small.

What type of data is Mann-Whitney U test?

It is a non-parametric test that is used to compare two sample means that come from the same population, and used to test whether two sample means are equal or not. Usually, the Mann-Whitney U test is used when the data is ordinal or when the assumptions of the t-test are not met.

What is the U statistic in Mann Whitney?

In statistics, the Mann–Whitney U test (also called the Mann–Whitney–Wilcoxon (MWW), Wilcoxon rank-sum test, or Wilcoxon–Mann–Whitney test) is a nonparametric test of the null hypothesis that, for randomly selected values X and Y from two populations, the probability of X being greater than Y is equal to the …

Can you use Mann-Whitney U test on normally distributed data?

You are free to use a mann-whitney u test when the variable you care about is skewed rather than normally distributed. If your variable is normally distributed, you should use the Independent Samples T-Test instead.

What does the Z value mean in Mann Whitney?

In the Mann-Whitney U— Wilcoxon rank-sum test we compute a “z score” (and the corresponding probability of the “z score”) for the sum of the ranks within either the treatment or the control group. The “U” value in this z formula is the sum of the ranks of the “group of interest” – typically the “treatment group”.

Why use Mann-Whitney U test instead of t-test?

Unlike the independent-samples t-test, the Mann-Whitney U test allows you to draw different conclusions about your data depending on the assumptions you make about your data’s distribution. These different conclusions hinge on the shape of the distributions of your data, which we explain more about later.

What is the null hypothesis for Mann-Whitney U test?

The null hypothesis for the test is that the probability is 50% that a randomly drawn member of the first population will exceed a member of the second population. Another option for the null hypothesis is that the two samples come from the same population (i.e. that they both have the same median).