[QUOTE=gazpacho]
The 15 point standard deviation of the normalized IQ scores has nothing to do with how accurately IQ can be measured. In fact it seems to me that the OP does not understand IQ and measurement statistics very well. Confidence interval has a few key parameters.
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The assumption of a normal distribution. (you can use other distributions but most times people are talking about a normal distribution)
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How good your confidence needs to be. Typically people use 95% but others can be used.
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sample size
A given test can have a certain amount of accuracy in it. For example say I take an IQ test and get a score of 99.5 and the makers of the test say that it is accurate to ± 1.2. They are saying based on this test we are 95% confident that the real IQ is between 98.3 and 100.7.
[/QUOTE]
I’m glad someone made this point about confidence intervals.
I also wanted to point something else out from the OP:
Here is (I think) the relevant quote from thewikipedia article:
IOW, the Standard Deviation that is used on the curve has nothing to do with the accuracy of the IQ test, it’s simply a way of scoring the test so most people score closer to a score of 100 and fewer score far away from 100. That is, it has nothing to do with the actual distribution of the scores (if they are actually normal).
What you’re really interested in is how accurately the test measures where you belong in this distribution. That is, if the Ground Truth of your IQ is 125, then you should expect that the IQ test should score you with a mean of 125, not 100. Thus, what you really need to compare is the samples taken for the different aged children and compare them using the Standard Deviation of the test that was used. I imagine they have tests with error FAR less than 15 points.
Further, we can use a t-test to determine how different two populations are, and the differences can be made more clear by either having smaller standard deviations OR larger populations. Thus, a difference of 2.3 points could be legit, but I’d have to see the paper to make sure.