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In order to convert the new GRE to IQ equivalents, we must first know the means and standard deviations of the Americans who take the GRE. Commenter George kindly provided that information:

The ETS publishes the “GRE Worldwide Test Taker Report” periodically. The report for test takers between 2013-2016…shows a US mean/SD of 152.7/7.6 for Verbal and 150.2/7.8 for Quantitative

Next, we’d like to know the mean and SD of the composite score (V+Q).

The mean can be determined simply by adding the mean V and mean Q, which gives 302.9. To get the SD of the composite, we must know the correlation between these subscales. Among the subset of people who took the old GRE after also taking the SAT, the correlation was 0.56. If we assume the correlation is the same for all GRE takers, and also for new GRE takers, then we can apply the following formula to get the SD of new GRE V + Q composite:

r is the correlation between the two tests that make up the composite and σ is the standard deviation of the two tests.

So let’s get out our calculators:

Composite SD = SQUARE ROOT OF: 7.6(7.6) + 7.8(7.8) + 2(0.56)(7.6)(7.8)

Composite SD = SQUARE ROOT OF: 57.76 + 60.84 + 66.39

Composite SD = SQUARE ROOT OF: 184.99

Composite SD = 13.6

Now that we know the mean and SD for the verbal, quantitative and composite scores we can convert them to the IQ scale (where the U.S. mean and SD are defined as 100 and 15 respectively). The problem is U.S. GRE takers are an academic elite, and thus have a different IQ distribution from the general U.S. population. How different? I’m no longer comfortable answering that without doing a bit more research, so we’ll save that for part 2.

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illuminaticatblog

said:My high IQ friend said the SAT is to test the nation’s schools not that the schools are testing themselves so it is highly likely I had an equivalent SAT post-1995 test.

So I would have an SAT-IQ of 125 by a score of 1471.

125 = (0.095 * 769) + (-0.003 * 702) + 50.241

The correlation between post-1995 SAT scores & IQ

16

Wednesday

Dec 2015

https://pumpkinperson.com/page/2/?s=SAT&search=Go

GondwanaMan

said:Wowow!!! I’m cool you’re going back to discussing the GRE again. I personally felt it was basically the SAT all over again except slightly harder. That was six years ago, when I took about 3 years after having taken the SAT.

I’m still perplexed as to why the GRE went to a 130–170 scale. A 120–180 may have caused confusion with the LSAT but at least you can equate 10 points with a standard deviation, whereas now it’s somewhere between 7.5 and 8.

Given the the fact that law schools are now accepting the GRE (at least some like Texas A&M), I’m sure they have a lot of data on these topics already, like IQ distribution of GRE takers vs. LSAT takers.

GondwanaMan

said:*It’s cool

GondwanaMan

said:I have to admit, I’m VERY surprised at the low correlation between the SAT and GRE.

George

said:0.56 is the correlation between GRE – Verbal and GRE – Quantitative. This is the correlation required by the statistics formula above. What Pumpkin Person is saying is “Looking at a sample of those who took the SAT and GRE (in the linked study), the correlation between GRE V and Q was 0.56.”

GondwanaMan

said:OK that makes more sense.

George

said:I agree more with this ending. The distribution in an intellectual elite will likely not be as wide as a 15-point standard deviation. Believing so will yield inflated scores.