“Deary took the analysis a step further however and did a little latent variable modeling. As the IQ test had three components/subtests (verbal, nonverbal, quantitative), he correlated a latent g factor with a latent academic factor using the following subtests: English, English Literature, Math, Science, Geography, French (n=12519). The correlation between the latent factors was .81. That is: 66% of the variance in latent (general) academic achievement can be explained by latent cognitive ability—measured 5 years previously. While he hypothesizes that such things as “school ethos” and “parental support” are good areas to search for the other 34%, based on Rohode’s work, it is likely going to be found in residual, first order factors (see Carroll or McGrew).

Take home message: While general cognitive ability and academic achievement are not isomorphic, the former is necessary for the latter, while the converse is not necessarily true. Spearman suggested this more than a century ago, and, to quote the last sentence in Deary’s work – These data establish the validity of g for this important life outcome.”

http://www.gnxp.com/blog/2007/01/iq-academic-achievement.php

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