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

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Culture-biased Tests 319<br />

3. The exact value of h2 is not a crucial feature in this formulation; I<br />

have used 0-80 here because it is the average value of h2 in studies<br />

of the heritability of intelligence in Caucasian populations. Other<br />

values would serve as well, although if they differed appreciably for<br />

groups A <strong>and</strong> B, the regression lines would be non-parallel <strong>and</strong><br />

therefore, of course, would cross, creating more complex hypothetical<br />

outcomes. It should be noted that h2 is the slope of the regression<br />

line of phenotypes on genotypes <strong>and</strong> of genotypes on phenotypes;<br />

while h (i.e., the square root of h2) is the correlation between<br />

genotypes <strong>and</strong> phenotypes.<br />

4. Analyses recently completed in our laboratory show that the rank<br />

order of the percent passing (p) each item of the PPVT (as well as<br />

of Raven’s Progressive Matrices) is virtually the same for very large<br />

<strong>and</strong> representative California school samples of Negroes <strong>and</strong> whites.<br />

The correlations between p values for these tests are above 0-95,<br />

<strong>and</strong> it is interesting that in this respect the two racial groups are<br />

even more alike than are boys <strong>and</strong> girls within each race. In other<br />

words, the cultural biases in the test are more apparent with respect<br />

to sex differences than with respect to race differences. (The sexes<br />

do not differ appreciably in mean score, however, while the racial<br />

groups differ about one st<strong>and</strong>ard deviation, or 15 IQ points, on the<br />

average.) Moreover, the increments or decrements in the p values<br />

of adjacent test items (i.e., pi~p2, Pi~Pb etc-) correlate above 0-90<br />

between the racial groups. In this measure, too, the races differ<br />

less than the sexes within each group.<br />

Also it was found that the matrix of item intercorrelations <strong>and</strong> the<br />

factor structure of these tests is not significantly different for white<br />

<strong>and</strong> Negro samples when these are roughly matched for mental age<br />

or total score. These properties of the data, for example, do not in the<br />

least distinguish between fourth grade white children <strong>and</strong> sixth<br />

grade Negro children. Yet they distinguish between fifth grade <strong>and</strong><br />

sixth grade Negro children <strong>and</strong> between fifth grade <strong>and</strong> sixth grade<br />

white children. A culture-bias hypothesis would predict greater<br />

Negro-white differences than adjacent grade differences in item<br />

intercorrelations. The findings, on the other h<strong>and</strong>, are more consistent<br />

with a development lag hypothesis.<br />

In multiple-choice tests (as the PPVT <strong>and</strong> Raven are), there is<br />

no systematic or significant racial difference in the choice of distractors<br />

on those items that are answered ‘wrong’. A special scoring<br />

key was made up so as to score as correct whatever response was<br />

given <strong>by</strong> the largest number of children in the Negro sample. When<br />

the tests were scored <strong>by</strong> this key, the Negro sample still averaged<br />

lower than the white sample.<br />

Scales based on subgroups of items which discriminate either

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