btickler, I'm afraid you've missed the whole point I've been making. Once again, It's a potential thing. The formulas are very rough but they are based on math
Potential IQ = 100 + 0.06 x (ELO – 1300)
Potential ELO = 1300 + 16.7 x (IQ – 100)
And MathewMunro deserves a lot of credit for posting the formulas. They are basically correct.
I agree that it is difficult or almost impossible to back up this correlation with science, You are right here. But then again, IQ per se means little from a scientific point of view as a measure of intelligence. Of course people like IQ when they score high. Yet, I'm not willing to perceive things through rose-colored glasses and having a high IQ, while flattering, means no more to me than having a high ELO rating.
I agree with Russian mathematician Victor Vassiliev (or Vasilyev) when he points out unscientific flaws in IQ tests. He might be a little bit harsh on the test in my opinion but the test still borders on pseudoscience. With that being said, IQ tests are still more or less scientific but not good enough. Personally, I'd rather go with Elo ratings rather than IQ scores. It's flattering to have high IQ scores, and I like such tests but I have no illusions in this department, as I saw all the flaws first hand from a mathematical perspective. I don't need Vasilyev to point them out to me, I can do math on my own However, the lack of mathematical knowledge on this website truly shocks me. The thread with probabilities when Nakamura won Gibraltar is astonishing. The more chess players I get to know the more surprised I get. I have to put up with mathematical level of education, I guess. That's very sad when it comes to chess players or physicists. A bit of math knowledge would not have hurt. Just saying.
According to many sources and studies, Chess improves your IQ, [...]
Name one. A study I mean...saying there are "sources" is meaningless. Any reputable study will do.
3dChess, I see a lot of conjecture and anecdotal evidence backed up by not a shred of anything...you certainly can't support a statement like "the correlation is definitely there".
Maybe you should watch the BBC special where Susan Polgar scores near the bottom of a broad group of people chosen for being super intelligent and tested in practical ways for ingenuity and creativity.