A resume was submitted to the recruiter through out department. There was a hour long info session with pizza, attended by 50 people. I was selected for an on campus interview, which seemed to be an initial screening to see the seriousness and potential fit. It was essentially a resume discussion and lasted 20 minutes. This lead to an on site interview, which took all day. This included a thesis presentation, and numerous two on one interviews, a window tour, and lunch.
I was lead to believe that they select the majority of qualified candidates for an on campus interview, then somewhere between 10 and 20 percent of those for an on site interview, and then they extend an offer to slightly more than half of those that are flown to Portland, OR.