Rating analysis, 1v1, 2v2 and global

I was curious if ever some data analysis was performed on specifically 1v1 and global rating, but also 2v2. Specifically in the relation between 1v1 rating and global rating?

If not, is there some massive amount of data somewhere that I could analyze?
All games, players & ratings vs. players & ratings = win/loss/draw

good question and if you do have stats (preferably in the form of pretty graphs) please share them in the stats megathread