It's certainly easier to substantiate your argument if you have some grounding in statistical technique, but a modicum of critical thinking ability goes a long way to spotting technically unsound studies. All the more so because, not to put too fine a point on it, a lot statistical techniques (especially in econometric modeling) look suspiciously like an attempt use to "baffle 'em with bullshit," coupled with what Ted Goertzel (professor of sociology at Rutgers
http://crab.rutgers.edu/~goertzel/) calls "statistical one-upmanship" (see his piece "Myths of Murder and Multiple Regression" here:
http://crab.rutgers.edu/~goertzel/mythsofmurder.htm).
If you convincingly articulate why the authors of any given study appear to have confused correlation with causation (a
very common pitfall), you're more than halfway there. If the only response is to point out how complex their math is, then you're all the way there, because then you can apply Occam's Razor. After all, Ptolemaeus had the math to "prove" the Sun orbits the Earth, but that didn't make him right; in fact, the very fact that his math had to be so complex in order to "prove" the predetermined hypothesis was a good indicator he was wrong.
To illustrate, above I unfavorably compared Branas' et al. "Investigating the link between gun possession and gun assault" (
http://www.ncbi.nlm.nih.gov/pubmed/19762675) to Richard Doll's work regarding the association between cigarette smoking an lung cancer. As I pointed out, Doll found that ~90% of lung cancer patients studied turned out to be (then-)current or former smokers; it's fairly intuitive to tentatively conclude from that finding that smoking is a major casual factor in lung cancer. Compare this to UPenn's press release concerning Branas' article (
http://www.uphs.upenn.edu/news/News_Releases/2009/09/gun-possession-safety/). The sub-headline cites the study's estimate "that people with a gun were 4.5 times more likely to be shot in an assault than those not possessing a gun."
Now, you don't have to have a huge grounding in statistics to conclude that with that kind of ratio, the percentage of people shot while carrying gun should,
all other things being equal, be a sizable majority. To compare, based on U.S. statistics, smokers are ~10.7 times as likely to develop lung cancer than non-smokers, so it's not surprising that ~87% of lung cancer patients are current or former smokers. Those figures are fairly consistent with each other. But Branas et al. found that the percentage of assaultive shooting victims studied who were carrying a firearm at the time of the shooting was around
6%. Which means, granting that the researchers didn't trip over the needless complexity of their own math, or did a really bad job in selecting a control group (which, by the way, they did), all other things were
not equal, and that there were other causal factors that played a
much larger part in one's likelihood of getting shot (e.g. being a drug dealer or other petty criminal). Certainly, the findings didn't justify the conclusions or the press release, both emphasizing the risk of carrying a firearm, not with shooting victims
without firearms outnumbering the ones with 15 to 1.