I have two long vectors (both of the same size=12000 and each of them contains variance values). I want to perform Wilcoxon test to test if the variances in the first vector are different than the second vector. As the vectors are of long size, I had to use the normal distribution approximation. Simply, I used matlab's
ranksum function which calculates the test p-value.
My quesiton is: I got good p-value (9.9e-72) which is almost 0. I thought that the test is very strict and I would get higher p-value (0.01 more or less). Is this value that I got correct or I missed some thing to perform the test correctly?