Wow, a lot of herpderp ITT. Here's how ED works at all schools, scholarship or not:
When you apply ED, schools have four options: accept, waitlist, deny or hold. If you are a competitive candidate for a school, but not enough for the full scholarship at a school like GW or Northwestern, you will get held and then considered with the RD applicants. If you are a borderline candidate, they may waitlist you outright, but I think most get held, accepted or denied.
Applying will only help your chances of admission, even at a school like GW when you aren't competitive for the full scholarship. Applying ED still demonstrates a commitment to the school and will still be a small boost if you get held to regular decision. At schools like GW, you don't have the scholarship disadvantage either, because you either receive their highest award or you are released from the binding ED contract.
There's more info on ED and EA here: http://www.top-law-schools.com/early-de ... ction.html