Converting GRE Scores to D&D Intelligence

[Roman]

Every so often a thread pops up on the boards with links to various online 'tests' that will give you your abilities as they would be in D&D. The fact that D&D Int. includes also abilities like memory aside, it is quite easy to convert IQ to D&D equivalent of Intelligence using the statistical method of comparing how many standard deviations each diverges from the mean. The formula is as follows:

Int. = 10.5 + ((IQ - 100)/SD) x 8.75^0.5

Assuming that GRE scores are also a proxy for the measure of Int., I would like to have a similar formula for converting GRE scores into D&D Int. Unfortunately, my statistical knowledge is too limited to do this, so if some statistics whiz could help me and show how it's done, I would appreciate it. Here is the relevant information for the distribution and correlation of GRE scores:



GRE scores consist of 3 sections:

Verbal (scores range from 200 to 800)
Quantitative (scores range from 200 to 800)
Analytical (scores range from 0 to 6)


Here are the necessary numbers that I managed to uncover:

Verbal Mean: 469
Quantitative Mean: 597
Analytical Mean: 4.2

Verbal Standard Deviation: 120
Quantitative Standard Deviation: 148
Analytical Standard Deviation: 1.0

Correlation between Verbal and Quantitative Scores: 0.23
Correlation between Verbal and Analytical Score: 0.55
Correlation between Quantitative and Analytical Scores: 0.02

 

[Roman]

No statistics whizes around? I was under the impression we have some very talented people in math here. If it is not too complex it would suffice if you point me to the theory of how to do this.

 

[helium3]

How do you convert old scores to the new system? I took the GRE back when they assigned a 3 digit number just like the other two scores.

 

[Roman]

How do you convert old scores to the new system? I took the GRE back when they assigned a 3 digit number just like the other two scores.

It is difficult to say. The analytical section now runs from 0-6 points graded in 0.5 point increments (for example, you can have a score like 5.5, but not 5.75). The mean for the analytical section is 4.2 and the standard deviation is 1.0. I have no clue what these were for the old scores...

 

[Umbran]

No statistics whizes around?

Oh, we're around. I, at least, feel it is not a meaningful exercise.

The GRE is designed to be a test of academic preparedness, rather than "intelligence". If the GRE is doing what it is supposed to do, it is not a meaningful conversion. If the GRE is not doing what it is designed to do... it is even less meaningful.

 

[szilard]

How do you convert old scores to the new system? I took the GRE back when they assigned a 3 digit number just like the other two scores.

Subtract 200.

Divide by 10.

Round to the nearest .5

-Stuart

 

[Roman]

Oh, we're around. I, at least, feel it is not a meaningful exercise.

The GRE is designed to be a test of academic preparedness, rather than "intelligence". If the GRE is doing what it is supposed to do, it is not a meaningful conversion. If the GRE is not doing what it is designed to do... it is even less meaningful.

You are right, of course, that the GRE is not meant to test "intelligence" and I would even dispute their utility in measuring academic preparedness. Nevertheless, they are supposed to be relatively strongly 'g-loaded; if they are the only score available, could be used for the purposes I desire despite potential accuracy problems.

 

[Roman]

Subtract 200.

Divide by 10.

Round to the nearest .5

-Stuart

That would be the apparent conversion, but I am not sure it would be meaningful, as we don't know the means and the standard deviations of the old scores.

 

[Slife]

Step 1: Convert to IQ

Step 2: Use the formula you already have with your converted number.

 

[Shin Ji]

I actually tutor the GRE and other tests for a living, and I have to say that they don't measure anything beyond your ability to take that test well.

In fact, no test measures intelligence, because intelligence has never been properly defined.

Try to define it in a way that can be tested, I dare you.