I consider the courses I took in college on quantitative and qualitative methods the most important of my undergraduate years. I learned thereby a great many important things about how not to conduct an experiment and how to think about experimental methodology (not to mention statistics.)
If I were putting together a list of “general education” requirements I wanted all students to to take in order to declare them well-educated and ready to go out into the world, it’d be a course on Quantitative and Qualitative Methods. (Much like current “gen ed” and “distribution requirements,” the level of mathematical ability required would likely vary by field, though no one should be obtaining a college degree without some degree of numerical competence.)
But the real problem with the social science fields is not lack of rigorous statistical background, but overwhelming ideological conformity, enforced by the elders of the fields–advisers, hiring committees, textbook writers, journal editors, etc., who all believe in the same ideology and so have come to see their field as “proving” their ideology.
Ideology drives both the publication biases and the wishful thinking that underlie this crisis. For example, everyone in “Women’s studies” is a feminist who believes that “science” proves that women are oppressed because everyone they know has done studies “proving” it. You’re not going to find a lot of Women’s Studies professors aiming for tenure on the basis of their successful publication of a bunch of studies that failed to find any evidence of bias against women. Findings like that => no publication => no tenure. And besides, feminist professors see it as their moral duty to prove that discrimination exists, not to waste their time on studies that just happened not to be good enough to find the effect.
In the Social Sciences more generally, we get this “post modern” mish-mash of everything from Marxists to Freudians to folks who like Foucault and Said, where the goal is to mush up long-winded descriptions of otherwise simple phenomena into endless Chomsky Sentences.
(Just reading the Wikipedia pages on a variety of Social Science oriented topics reveals how very little real research or knowledge is generated in these fields, and how much is based on individual theorists’ personal views. It is often obvious that virtually anyone not long steeped in the academic literature of these fields would not come up with these theories, but with something far more mundane and sensible. Economists, for all their political bias, at least provide a counterpoint to many of these theories.)
Obviously different fields study different aspects of phenomena, but entire fields should not become reduced to trying to prove one political ideology or another. If they are, they should label themselves explicitly, rather than make a pretense of neutrality.
When ideology rather than correctness become the standard for publication (not to mention hiring and tenure,) the natural result is incorrectness.
More statistical knowledge is not, by itself, going to resolve the problem. The fields must first recognize that they have an ideological bias problem, and then work to remedy it by letting in and publishing work by researchers outside the social science ideological mainstream. It is very easy to think your ideas sound rigorous when you are only debating with people who already agree with you; it is much more difficult to defend your views against people who disagree, or come from very different intellectual backgrounds.
They could start with–hahahaha–letting in a Republican.