As usual - I think this is largely dependent on your schoool of choice. I applied EDP this year - got an interview - got in. Here's what you should know.
Stats probably need to be better than average, but NOT stellar (although stellar is also fine). Remember, if you are super competitive then you risk losing better financial aid packages by applying (and being accepted) EDP. Once you're accepted, you MUST attend that school or wait to re-apply next year. Because of this, the school doesn't have to compete for you by offering any free money.
It worked for me cause I was a second year applicant - I applied to one school only (all or nothing). I was willing to give up financial aid because I probably wouldn't have been offered much, but what I did do was give myself 2 chances at an interview.
It's my opinion that at my state school (Kansas), if you are granted an EDP interview, then the committee has all but approved your academic standing. I believe the generally only invite those that pass muster academically - then they just want to meet / talk to the applicants and see if they'll fit in. I beleive that over 90% of INTWEVIEWED EDP applicants are accepted to the program.
Worked for me, but if you're super competitive and sure you'll get in somewhere - then I'd give it some additional consideration.
Also remember that EDP may work differently elsewhere... as usual.
Good luck, whatever!!