 # Wilcoxon Rank Sums

Wilcoxon Rank Sums:

Wilcoxon rank sums are two statistic s T+ and T computed from paired replicates data .

Suppose we have two sets of pairs of measurements (xi,yi), i=1,…,N for each of N experimental units. We compute differences

 di = yi – xi; i=1,…,N

and their absolute values:

 Di = |di|.

Then we replace Di by ranks and split the values di into two groups according to the sign of corresponding di . The sums of ranks for positive and negative differences are named Wilcoxon rank sums T+ and T , respectively.

Wilcoxon rank sums are used to compute the test statistic for the Wilcoxon signed ranks test

Browse Other Glossary Entries

## Test Yourself

Planning on taking an introductory statistics course, but not sure if you need to start at the beginning? Review the course description for each of our introductory statistics courses and estimate which best matches your level, then take the self test for that course. If you get all or almost all the questions correct, move on and take the next test.

### Data Analytics

Considering becoming adata scientist, customer analyst or our data science certificate program?

Analytics Quiz

Statistics Quiz

### Statistics

Looking at statistics for graduate programs or to enhance your foundational knowledge?

Statistics 1 Quiz

Regression Quiz

Regression Quiz

### Biostatistics

Entering the biostatistics field? Test your skill here.

Biostatistics Quiz

Statistics 2 Quiz

### Stay Informed

Our Blog

Read up on our latest blogs

Certificates

Courses

Find the right course for you