I think it's cool that you'd go to an expert to see a reproducible experiment. I'm also going to assume that it goes without saying (could be putting words in your mouth but it seems to flow from your responses) that you'd ask a lot of questions if there was unfamiliar math or concepts and basically receive very narrowly focused training in the fields around the experiment.

It's interesting to consider the likelihood/prevalence of the casual commenters on climate change (ie the ones being referred to as idiots) reproducing the climate scientists experiments or coming up to speed on the maths/concepts behind the experiment to be able to critique the experiment in the way that an expert in the field with an opinion opposed to the prevailing thought could.

I know quite a few very vocal climate change skeptics and none of them have a science background or the willingness to attain one, and they seem very proud of that. Hopefully that's a local quirk of my small sample relative to the population.

As an aside, if you can find a set of experts with the time to spend (plus, you know, equipment and money) I'd bet a decent chunk of change that you could take the prevailing scientific opinion and ask for reproducible experiments - in this case a lot would involve analysis of data already given to explain why they want to test want they want to - then you'd end up if not agreeing with them then at seeing where they were coming from.