The Publishing Research Consortium has released "Peer Review in Scholarly Journals: Perspective of the Scholarly Community—An International Study."
Here's an excerpt from the "Executive Summary":
The survey thus paints a picture of academics committed to peer review, with the vast majority believing that it helps scientific communication and in particular that it improves the quality of published papers. They are willing to play their part in carrying out review, though it is worrying that the most productive reviewers appear to be overloaded. Many of them are in fact willing to go further than at present and take on responsibility for reviewing authors’ data. Within this picture of overall satisfaction there are, however, some sizeable pockets of discontent. This discontent does not always translate into support for alternative methods of peer review; in fact some of those most positive about the benefits of peer review were also the most supportive of post-publication review. Overall, there was substantial minority support for post-publication review as a supplement to formal peer review, but much less support for open review as an alternative to blinded review.
Read more about it at "Peer Review Study."