# What is the difference between Mann Whitney and t-test?

## What is the difference between Mann Whitney and 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 test statistic for Mann Whitney?

The test statistic for the Mann Whitney U Test is denoted U and is the smaller of U1 and U2, defined below. where R1 = sum of the ranks for group 1 and R2 = sum of the ranks for group 2. For this example, In our example, U=3.

Is Mann-Whitney U test qualitative or quantitative?

Statistical tests

Response variable
Study factor Nominal qualitative (two categories) Ordinal qualitative
Independent Z-test for comparison of proportions. Chi-squared. Fisher’s exact test Mann-Whitney U-test.
Paired McNemar test Fisher’s exact test. Sign test. Wilcoxon signed-rank test.
Qualitative (more than two groups)

What can I use instead of a t-test?

The Wilcoxon rank-sum test (Mann-Whitney U test) is a general test to compare two distributions in independent samples. It is a commonly used alternative to the two-sample t-test when the assumptions are not met.

### When Kruskal Wallis test is used?

The Kruskal-Wallis test is one of the non parametric tests that is used as a generalized form of the Mann Whitney U test. It is used to test the null hypothesis which states that ‘k’ number of samples has been drawn from the same population or the identical population with the same or identical median.

### Can you use Mann-Whitney for large samples?

There are two versions of the Mann-Whitney U test, one for small samples (i.e., when n < 20 for each group) and one for large samples.

How do you interpret the Mann-Whitney U test z value?

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”.

What is Z in Mann-Whitney U test?

#### Which is better chi square or Mann Whitney?

Based on responses it seems there is no clear answer and that either approach (chi square or mann-whitney) could be used. I found no clear answer in searchers online, indeed people were making cases for both tests. Jochen – I like you frank approach. I think the work is explorative and therefore one can test the data in different ways.

#### What’s the difference between a t-test and chi square?

When you reject the null hypothesis with a t-test, you are saying that the means are statistically different. The difference is meaningful. Chi Square: Allows you to test whether there is a relationship between two variables. BUT, it does not tell you the direction or the size of the relationship.

Which is better Fisher’s exact or chi square?

But your point is well-taken, and interesting food for thought (to be continued)… While Fisher’s exact test is superior to chi-square, ODA is superior to Fisher’s exact test except in purely binary problems, in which case the two methods converge.