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ViEtArmis comments on Welcome to Less Wrong! (July 2012) - Less Wrong
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Of course, if you use IQ testing, it is specifically calibrated to remove/minimize gender bias (so is the SAT and ACT), and intelligence testing is horribly fraught with infighting and moving targets.
I can't find any research that doesn't at least mention that social factors likely poison any experimental result. It doesn't help any that "intelligence" is poorly defined and thus difficult to quantify.
Considering that men are more susceptible to critical genetic failure, maybe the mean is higher for men on some tests because the low outliers had defects that made them impossible to test (such as being stillborn)?
The SAT doesn't seem to be calibrated to make sure average scores are the same for math, at least. At least as late as 2006, there's still a significant gender gap.
Apparently, the correction was in the form of altering essay and story questions to de-emphasize sports and business and ask more about arts and humanities. This hasn't been terribly effective. The gap is smaller in the verbal sections, but it's still there. Given that the entire purpose of the test is to predict college grades directly and women do better in college than men, explanations and theories abound.