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selfAdjoint
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Mandrake said:This subject is discussed in much more detail in Bias in Mental Testing, Chapter 4. For example, Jensen wrote: "The simple fact is that a test unavoidably yields a near normal distribution when it is made up of (1) a large number of items, (2) a wide range of item difficulties, (3) no marked gaps in item difficulties, (4) a variety of content or forms, and (5) items that have a significant correlation with the sum of all other item scores, so as to ensure that each item in the test measures whatever the test as a whole measures." He goes on to point out that it would take a lot of effort to produce a test that is so screwed up that it would not produce a distribution that "departs at all radically from the normal."
THis fact is behind the expectation of geneticists that the genetic component of g is produced by many genes. If there were just one, or a few, the different phenotypes would line up in discrete bunches, rather than a continuous distribution such as is found with sufficiently large populations.