Thanks for the question!
Let's break this down:
- Equity-Passing (formerly follow) - Typically links which pass value from one page to another, including followed, 301, and meta refresh links
- Non-Equity Passing (formerly nofollow) - Typically links that are nofollowed or don't send value (rel=nofollow , meta nofollow, off screen, 302, RSS feed)
- Only rel=nofollow - Links that have the rel=nofollow attribute
- Only Follow - Links that don't have the rel=nofollow attribute, but still may not pass equity (i.e. 302 links and meta nofollows would be returned)
- Only 301 - Links that are only specifically 301 links
Hope this cleared things up for you
Best,
Sam
Moz Helpster