Just anecdotal evidence. Mostly from friends and family (and what I read on these boards).
I can give you more anecdotes it you want. For example, I can tell you about how I got shut out of a required class at Hopkins and the same time one of my best friends got shut out of a required class at Rutgers. Or I can tell you about the time Rutgers made an error on my football parking and the Rutgers alumni in our tailgate group all screamed "RU Screw" while the non-Rutgers-alumni took the error in stride (and how Maryland made an error when my sister ordered basketball tickets and she didn't scream "Maryland Screw").
And the weird thing about Rutgers, is when their are actually things that are broken, and the university tries to fix it, people complain. The most noteworthy example of this is when New Brunswick had multiple liberal arts schools, all with different academic requirements, creating a real nightmare for students who want to take courses at multiple schools or transfer from Douglass College to Rutgers College, for example. The first time Rutgers tried to fix this, objection was so strong that the university merged the faculty but kept the separate schools, which just made matters worse, because now the faculty didn't now the requirements for any of the colleges. And the second time Rutgers tried to fix the problem, student and alumni protests got Trenton involved. (My wife, a Douglass alumna, was one of the ones who initially protested, until I asked her why she objected to something that would actually make the university better, and eliminate one of the complaints she had.)
So, no, I don't have any statistical or randomized data. But I have plenty of anecdotal data from relatives and friends who attended Rutgers and attended other schools.
Nor am I saying that there aren't problems that need to be fixed. (In the issue regarding my football parking that I mentioned above, I suggested an easy solution to help prevent the problem in the future, and it appears that Rutgers has implemented a solution similar to my suggestion.)
But there certainly seems to be a cultural tendency at Rutgers to complain about everything, and scream "RU Screw" over the most trivial of issues (and even issues that are not Rutgers' fault). And I believe that this cultural tendency causes problems to become magnified, and for Rutgers students, staff, faculty, and alumni to think the problems at Rutgers are worse than they actually are, and worse than they are elsewhere.