Created just an account just to post this: I had an interview this weekend for my top school and there were SEVEN people being interviewed to work with my desired PI, including myself. This isn't taking into consideration that they had a second interview day, so there were likely more potential students that were interviewed the day I didn't attend. I have faith in my abilities and how I presented myself, but it also sucked knowing that I still had so many people to compete against. It's my first year applying, and I'm not too familiar with how the process works, but from scouring these forums I'm led to believe that this situation isn't typical.