yup, what was said above. If they are interested, you WILL get an invite. It could be something about GPA/GRE scores or some really incredible experience that someone has that might get them an earlier interview. But the interviews seem to really look at everyone as whole people, and just because the first day-ers might have those top credentials, it doesn't mean they will get a seat over someone else who interviewed on the last day.
Only the admission committee really knows how anyone gets picked for acceptance. The interviewers are all very nice, and the students you interact with that day will play a role in the admission process, so you want to be respectful of them as well. The interview itself is very laid back and tends to range person to person when questions the ask, based on your application. Typically accepted students get a phone call the monday after their interview (+/- a few days because the interviewers tend to do the calls and it depends on when they have time), and waitlisted/on hold students tend to get an email the week after the interview. Not sure about rejections after interviews. From past years it seems that if they are going to reject someone without an interview, they wait until like the very end of the cycle to tell you.
Any other questions? Happy to help, it's an excellent way to procrastinate 🙂