The Wilcoxon Signed-Rank Test is a way to compare two things or two sets of data, like two different measurements for the same thing. It tests if the two sets of data are from the same group or from different groups. For example, you might want to know if scores from two tests are from the same group of students or from different groups. The Wilcoxon Signed-Rank Test helps us figure this out by looking at how different the scores are from each other.
The test is done by first taking each pair of scores and subtracting the smaller one from the bigger one. This gives us a unique number for each pair. We then add up all the unique numbers and then compare that number to a special table. The table is like a dictionary, it tells us what the total number means and if the scores are from the same group or not.
When we finish the test, we will have an answer as to if the scores are likely to be from the same group or not. It's like thinking about two sets of data in a new way and then making a decision on what they mean.