An Evaluation of Spearman’s Hypothesis by
Manipulating g Saturation
Michael A. McDaniel and Sven Kepes
Department of Management, Virginia Commonwealth University, 301 West Main Street, PO Box 844000,
Richmond, VA 23284-4000, USA. mamcdani@vcu.edu
Spearman’s Hypothesis holds that the magnitude of mean White–Black differences on cog-
nitive tests covaries with the extent to which a test is saturated with g. This paper evaluates
Spearman’s Hypothesis by manipulating the g saturation of cognitive composites. Using a
sample of 16,384 people from the General Aptitude Test Battery database, we show that
one can decrease mean racial differences in a g test by altering the g saturation of the meas-
ure. Consistent with Spearman’s Hypothesis, the g saturation of a test is positively and
strongly related to the magnitude of White–Black mean racial differences in test scores.
We demonstrate that the reduction in mean racial differences accomplished by reducing
the g saturation in a measure is obtained at the cost of lower validity and increased predic-
tion errors. We recommend that g tests varying in mean racial differences be examined to
determine if the Spearman’s Hypothesis is a viable explanation for the results.
1. Introduction
T
wo questions periodically reappear in the personnel
selection literature: (1) what causes one cognitive
ability test to be more predictive of job performance
than another and (2) what causes one cognitive ability
test to have smaller mean racial differences than an-
other. Regarding the first question, scientific evidence
indicates that the validity of a cognitive test is largely a
function of the extent to which the test measures g
(Gottfredson, 2002; Olea & Ree, 1994; Ree, Earles, &
Teachout, 1994; Sackett, Schmitt, Ellingson, & Kabin,
2001; Schmidt, 2002; Thorndike, 1986). Spearman is
credited with identifying a general factor of intelligence
(g) that could be derived from any broad set of cognitive
measures (Spearman, 1904, 1927), and the research
stream began by Spearman is often labeled as the ‘psy-
chometric g’ literature. The second question was di-
rectly addressed by Spearman (1927, p. 379), who noted
that the magnitude of mean White–Black differences
covaried with the extent to which a test was ‘saturated
with g.’ This positive relationship between the g satura-
tion of tests and the magnitude of the tests’ White–
Black mean differences became known as ‘Spearman’s
Hypothesis.’ Jensen (1985, 1998) reviewed many studies
supporting Spearman’s Hypothesis. Thus, to accept
Spearman’s Hypothesis is to adopt the position that one
cannot develop a g test that measures g well (i.e., a test
that has a high g saturation) and has low White–Black
mean differences.
Typically, studies concerning Spearman’s Hypothesis
examine intact test composites for the relation between
g saturation and the mean racial differences of the tests
comprising the composite. In this study, we take a dif-
ferent approach. We manipulate a 9-scale test compos-
ite to create multiple measures (composites) that vary
in g saturation. We evaluate Spearman’s Hypothesis by
examining how mean Black–White score differences
covary with g saturation. In addition, we also consider
how differences in g saturation affect criterion-related
validity and prediction errors. Differences across the
composites cannot be attributed to sample differences
because all composites are based on data from the same
sample. Furthermore, because we are manipulating the g
saturation of the composites, we can have greater con-
fidence that the observed effects are due to g saturation
and not other factors. In addition, we use two ap-
proaches to alter the g saturation of the composites to
evaluate whether our results are due to a particular
method. Thus, we offer these analyses as a unique ap-
proach to evaluating Spearman’s Hypothesis and argue
that it represents a unique contribution to the Spear-
International Journal of Selection and Assessment Volume 22 Number 4 December 2014
© 2014 John Wiley & Sons Ltd,
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