General intelligence (Spearman's g) accounts for over 50% of the relia
ble variance in a battery of mental tests in a sample of the general p
opulation. In a ''differentiation hypothesis'' originally suggested by
Spearman it is hypothesized that the degree to which g pervades perfo
rmance on mental tests is greater at lower ability levels. In addition
to providing a critical review, the study presented here tests the di
fferentiation hypothesis: (a) at different ability levels and ages; (b
) when groups are selected on the basis of a wide range of criterion a
bilities; and (c) by developing new statistical techniques for samplin
g groups of different ability levels. Data used were the Differential
Aptitude Test results of over 10,500 Irish schoolchildren aged 14 thro
ugh 17 years. Of groups selected on the basis of verbal, numerical, or
spatial ability the below-average ability groups had a more pervasive
g factor, confirming the differentiation hypothesis.