Is there any actual data about websites using parallax scrolling?

There are a LOT of opinions and personal anecdotes about parallax scrolling websites, but there seems to be very little actual data. So can anyone share the results of user testing a parallax website? Or A/B testing a parallax version of a site against a non-parallax version for conversion? Or any other form of evidence not based on your personal experience and preferences?

The only thing I've been able to find so far is this graduate thesis from Purdue University. It showed that the parallax version was superior in "fun" but otherwise equal to the non-parallax version, which somehow has been interpreted as a point against parallax scrolling websites.