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Educability-and-Group-Differences-1973-by-Arthur-Robert-Jensen

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210 <strong>Educability</strong> <strong>and</strong> <strong>Group</strong> <strong>Differences</strong><br />

the correlation between race <strong>and</strong> the genetic component, rRG<br />

= 0*18, is small - <strong>and</strong> it could be zero or even a negative correlation,<br />

given somewhat more extreme values of rRX <strong>and</strong> rR2.<br />

Taking the example further, suppose that these correlations<br />

were reversed, that is, the mean racial difference is greater for the<br />

test with the higher heritability. Then<br />

0-4 = 0-7rRG+0‘7rRE<br />

0-5 = 0-9rRG + 0-45rK£<br />

And here we see that the racial difference is largely accounted for<br />

<strong>by</strong> the correlation of race with the genetic component of test<br />

variance. It would be desirable to obtain the relevant data on more<br />

than two tests differing from one another in heritability <strong>and</strong> in<br />

their correlations with race, so that the system of equations<br />

would be overdetermined, there<strong>by</strong> permitting a test of the<br />

adequacy of this model in accounting for the empirically obtained<br />

correlations.<br />

At present we have no ideal data for this kind of analysis.<br />

However, it can be noted that such data as do exist seem to be<br />

less in accord with the first example above than with the second.<br />

Tests that appear to be more culture-loaded, contrary to popular<br />

belief, usually show smaller racial mean differences than tests<br />

which are designed to be more culture-fair. For example, Negroes<br />

do less well, relative to whites, on Raven’s Progressive Matrices<br />

Test than on the much more obviously culture-loaded Peabody<br />

Picture Vocabulary Test. (Although the reverse is true for another<br />

socioeconomically disadvantaged group, the Mexican-Americans.)<br />

Also, contrary to popular belief, scholastic achievement tests,<br />

which have generally been found to have h2 values around 0-4<br />

to 0-6 (as compared to 0-7 to 0-8 for intelligence tests), generally<br />

show a smaller mean Negro-white difference than is found with<br />

intelligence tests. Comparison of large representative samples of<br />

Negro <strong>and</strong> white children in grades 1 through 8 in a California<br />

school district, for example, showed an average race difference of<br />

0-66(7 on a battery of scholastic achievement tests <strong>and</strong> a difference<br />

of 1-08(7 on a set of non-verbal intelligence tests (<strong>Jensen</strong>, 1971).<br />

The cultural contents of the two sets of tests differ strikingly, yet<br />

both sets of tests have their largest factor loadings on the g factor

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