I only applied to one school (yes, I know, that was stupid), and after not hearing from them after the time frame they stated on their website, I started calling anonymously once or twice a month asking if they knew when interview invitations would be sent out. Two weeks ago they were still telling me they hadn't finished doing the initial application review, and I had to find out from someone on here that they'd already finished interviews.
I know that realistically, no interview means I've been rejected, but there's the obnoxiously optimistic part of me that keeps chirping "Maybe you were just so good that you're getting accepted without an interview!" and I really wish they'd just send me the inevitable rejection so I can stop leaning on irrational hope and move on with my life.