I am a biologist at a University and have stumbled across an interesting problem. My data is organized into matrices. The matrices are rectangular not triangular. I would like to compare matrices to each other but can't find a statistical way to do it that is not the Mantel test. Mantel tests only work when measuring distance and on triangular matrices. I am working with neither.

If anyone knows a way to solve this problem that would be great! I will answer any other questions about my data you may have.