Choose earliest. Its not like a bell curve type of thing. If there are 10 people interviewing and 9 of them are a good fit they will take 9. Whereas later in the cycle if 10 are interviewed and 9 are a good fit, they may only be able to offer 4 or 5 a spot because it starts to get tight. Technically you are competing for spots, but its not necessarily that you are competing against just those people you are interviewing that day. Its more like you are competing against yourself to be the best applicant that you can be.
I sense some gunnerisms going on... best to just do the best that you can do and provide yourself with the best opportunity for getting in - which would be an early interview.