A nice tutorial (and a lot of articles) can be found on the Dartmouth site of Hany Farid.
http://www.cs.dartmouth.edu/farid/downloads/tutorials/digita...
Personally, I have had very very mixed results with this method, and never managed to model it correctly. Interpreting results always was a very human job.
I think the author was clearly free from bias, and his results are easily reproduced by applying the same algorithms.
The subjectivity which you complain about may be the conclusions drawn from the results of the tests, which I think are distinct. Specifically, you cite his "intuition" as the origin of the conclusion.
I think the author's intuition is reliable because, like "real" scientists, he's an expert and speaks publicly about his work.[1] Or at least he appears to be. Are you prepared to challenge him as an expert?
[1] http://www.hackerfactor.com/papers/bh-usa-07-krawetz-wp.pdf
It seems to me that if you pull a bit of maths and technical magic out the normal skepticism the tech community melts away into a compliant bundle of gullibility.
http://en.wikipedia.org/wiki/Blind_experiment#Double-blind_t...
If you can simply run filters until the suspicious area 'looks a bit different' and thats your success criteria, you haven't proven anything.
Anyhow, people have done lots of tests with lots of different tools to see what they report in different circumstances. So this isn't the first time that someone has used ELA or something. You will notice if you read past explanations that he always tries to find the exact manipulations done, rather than just running a tool and declaring something to have been Photoshopped.
I'm no expert, but I've read his blog for long enough to know that he knows an awful lot about the various quirks of many different image editing programs (Photoshop being by far the quirkiest). But if you still have questions, you can always email him. He was kind enough to reply with a lot of useful information when I asked him something a long time ago. Actually, I think he even blogged about it.
If you read that blog, you can find plenty of discussion of those limitations, for example, how the absence of markers of digital manipulation does not prove that an image is genuine. After all, there are plenty of staged photos out there, images that were framed in a misleading way, etc.
Much more interesting would be to find out what the techniques really show, which faking techniques show which signatures and what other natural occurrences mimic that.
He's quite up front about the fact that some tests give inconclusive results. I believe that he has discussed the limitations of the tests. But even a test that gives an inconclusive result half the time can be useful if it shows you which areas of the image need attention the rest of the time. That data is indeed useful. He has talked about it. And you could just politely email him if you wanted to know more.
And yes, it probably is hard to separate the success due to technique and skills. But it's hard to believe that he would be good at picking out fake images without understanding why he was good at picking them out.