Exactly my point. If IQ and chess ability both relate to intelligence, then you would expect men at the top levels to be superior players.
No, IQ and chess playing ability doesn't correlate directly, in fact the chess playing ability is a sum of 2 factors (IQ + hard work on chess), and the hard work is the more important factor. Here has been a separate discussion on it in different topic already.
Even Kasparov's IQ after official german testing apparently got 135 - good enough for a gifted, but clearly not even close to internet sensational claims of 190 genius.
There doesn't need to be a linear correlation. The point is that we see a difference between average IQ results between males and females. IQ tests are designed so that you can't train for them, and thus they give you an indication of an innate ability to process the presented problems. Your article (to which I also linked earlier) then effectively shows that there are average differences between some forms of innate cognitive functioning between the sexes. This is sufficient to allow speculation as to these same differences playing a part in chess performance; the fact that male results dominate in both cases is merely circumstantial.
Quantitatively speaking (since you insisted), the IQ tests have an upper limit. They do not provide a tool to inspect differences at the very top. In fact, in that article that upper limit was quite low: 140. Regular Mensa tests go up to 160, above which quantifying an intelligence becomes increasingly unreliable. Therefore, we're not talking about a majority of males at exactly 140 points; we're talking about a majority of males with an IQ of at least 140. The distributions are obviously not Gaussian (at least, not the male distribution), but I think it's safe to say that they are different, and that this difference persists above 140 points as well. But again: the important thing is that there is a difference, since in my view, this invalidates the argument that men and women must have equal innate chess potential.
My dear, you are going a lot off topic here already. We do not need to be educated about the differences in intellect tests and Mensa tests being more precise for upper part, as internet is full of such articles already, no need to repeat it here. Or you are trying to contradict Kasparov's officially tested IQ and to claim that he in fact has a lot higher, like 190 claimed in internet? Internet is full of such myths but they are never based on any real facts.
And yes, here are innate differences in the way woman and man process spatial information, but they both give similarly good results but still the differences are there - each gender have their own strengths and weaknesses:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1635510/

Flag on the play. 5 yard penalty. 12 penis's on the field. Repeat 3rd down.

@Azukikuru
Before putting claims like that I would like you to actually read the posts that you are commenting on, since nowhere in my posts I have tried to nullify the statistical results.
Yeah, sorry about that. It was meant as a general observation, and I was too hasty to word your specific case differently.
You didn't include any of this psychological analysis in your reasoning, and instead try to operate on pure numbers which is never correct in real world with many other factors involved.
The reason for this, as I hope to have made clear, is that psychological issues cannot currently be quantified. I'm approaching this problem from a mostly quantitative standpoint, since it's currently the only one that can be directly supported with observations. Granted, I have expressed skepticism towards explanations that don't make sense to me, but I guess that's what we're all doing.
The problem I have with psychological issues as an explanation is that since they cannot be quantified, they remain a convenient excuse that cannot be disproven. My scientific curiosity will not be satisfied with such a conclusion - again, a character flaw of mine. I simply don't think it's correct to assume that those women with the best innate ability, as opposed to their male counterparts, choose not to play chess; with a large enough population (which we have), there needs to be a systematic bias to make this a real effect, and this bias needs to be explained, and above all, quantified. For this to happen, we would need to be able to gauge innate chess talent using other indicators than rating, and to do it systematically with everyone, which is obviously currently impossible. In the meantime, it would be nice if the argument even made logical sense.