The Importance of Spearman’s g

as a psychometric, social, and educational construct

Harrison Kane and Chris Brand


Abstract

Since its discovery in 1904, the general factor of intelligence (g) has generated considerable controversy. A historical review reveals that g has survived the scrutiny of psychometricians, educators, and politicians who simply wish that its importance in explaining individual and group differences would disappear. However, even in an atmosphere of political correctness, g survives as a robust variable explaining educational and societal attainment. In their efforts to control educative and societal outcomes, policy makers and educators commit an injustice in their active disavowal of such an important psychological construct.

Four thousand years ago, the Chinese were the first to use written mental tests in order to predict performance.  Civil servants were administered standardized tests, which included measures of mathematical ability, nonverbal reasoning, and reading comprehension.  Ironically, the Chinese ended this practice in 1905, the same year Alfred Binet introduced the first standardized test designed to measure the construct most psychologists and educators long identified as intelligence.

Robert Thorndike (1997) pointed to two historical influences in the development of measures of intelligence.  First, in the late nineteenth century, universal education became a reality.  Prior to this time, only a select few in the upper strata of society attended school.  Intelligence testing became a means of ensuring that educational resources were allocated to those students who could most benefit; in particular, it helped remove genuinely dull children from normal classes.  Second, in the work of Wundt, Fechner, and Galton there appeared the growing belief that individual differences in cognitive ability could be empirically quantified.  Previously, scientists had relied on qualitative techniques such as introspection to gain insight into the workings of the human mind.  The quantification of the mind established psychology as a science, with intelligence tests as the primary instrument for measuring cognitive ability. 

Many theories of intelligence have been offered through the years. However, most have not endured the rigors of empirical scrutiny.  Because they lend themselves so readily to statistical review, factor analytic theories offer the most promise to researchers and educators hoping to explain the structure and nature of intelligence. The following presents an overview of key psychometric theories of intelligence and outlines the important contribution of the general factor of intelligence in explaining individual differences.

Exploratory Factor Analysis and Theories of Intelligence

Charles Spearman invented factor analysis in 1904 as part of an experiment to “find out whether, as Galton has indicated, the abilities commonly taken to be intellectual had any correlation with each other or with sensory discrimination” (Spearman, 1927, p. 322).  Spearman obtained teacher evaluations of 36 students from a village school.  Students were rated on the usual academic subjects (Latin, English, and math) as well as music and pitch discrimination.  The observed correlation between the variables prompted Spearman to hypothesize that the variables shared a common source of variance, which he termed a “general factor of intelligence” (Spearman, 1904, p. 36). From the observation that variables had different levels of intercorrelation, he concluded that the variables had different levels of saturation with the general factor, which he called g (distinguishing little g from the big G of Newtonian gravity).  The different levels of saturation represented different loadings on the general factor.

Spearman-Holzinger Model

It was manifest to Spearman that g did not account for all the variance in students’ scores.  Therefore, he posited a two-factor theory of intelligence.  That is, each variable may be described as involving two factors, g and a factor specific to the variable.  (Figure 1 depicts the Spearman-Holzinger model of intelligence.)

Spearman devoted the rest of his academic career to explicating the general factor, which he later referred to as g.  He conceived of g as “mental energy,” and stated that it was the “leading part of intelligence, and is displayed by the ability to handle not merely abstract ideas, but above all symbols” (p. 211).  Later, working from several data sets collected over twenty years, he evolved the idea that g consisted of three processes.  The first process is “the apprehension of experience.”  Spearman assumed, as did Galton, that the greater the sphere of experiences an individual can draw upon, the more complex is the problem solving that he can undertake.  The second process is the “eduction of relationships.”  Spearman conceived of eduction as the “drawing out of a logical relationship between two stimuli” (p. 227). The third process is the “eduction of correlates,” in which an individual notes the similarities between two stimuli. A cognitive task was loaded on g to the extent that it drew on these three processes. Although Spearman recognized that g may not account for all the variance in a matrix of scores, he preferred to emphasize g as the explanatory factor in intelligence.

----[snip]----

To read the entire article, click here to subscribe

Summary

Various theories of psychometric intelligence offer insights into the nature of cognitive abilities. These theories also provide a means for understanding personal and societal outcomes. Central to any empirically based model of intelligence is the crucial position and function of Spearman’s g factor. Spearman’s g routinely accounts for more variance than all other cognitive factors combined, and therefore assumes a position of hierarchical prominence in any model depicting the structure of human cognitive abilities.

Although egalitarians resist the obvious, Western societies are increasingly dependent upon Spearman’s g as a causal factor in educational and societal outcomes. The relationship of g to occupational and educational attainment is so large as to effectively stratify society according to IQ. When egalitarian fallacies are set aside, the ubiquity of g is obvious. As Scarr (1985) noted ”…there are few human endeavors that could not be included in the domain of intelligence, if one considered all of the correlates of ’g’.”  Because of a reluctance of some researchers to discuss a construct that accentuates individual differences rather than individual equalities, Spearman’s g has become one of the best-kept secrets in science and education.  As global societies continue their movement toward technology-based economies, intelligence and Spearman’s g will become increasingly important in discussions of education and public policy. Therefore, the salient issue is not the existence or importance of intelligence and its constituent factors, but rather whether policy makers will accept its impact on reality.


Harrison Kane is Assistant Professor of School Psychology at Western Carolina University.  His area of interest is intellectual assessment (direct correspondence to hkane@wcu.edu).   Chris Brand has been a faculty member in the Department of Psychology, University of Edinburgh, is author of The g Factor as well as numerous articles and book reviews in the psychological literature, and currently serves as research consultant to the Woodhill Foundation, USA.


References


Adams, M.L. (1993). Project Spectrum: A theory-based approach to early education. In R. Pasnak and M.L. Howe (eds.), Emerging themes in cognitive development, (53-76) New York: Springer-Verlag.

Benton, D. (1995). Do low cholesterol levels slow mental processing? Psychosomatic Medicine 57, 50-53.

Benton, D. (1996). Dietary fat and cognitive functioning. In M. Hillbrand & R.T. Spitz (eds.),  Lipids, health, and behavior, 227-243.Washington, DC: American Psychological Association.

Blaha, J. & Wallbrown, F.H. (1982). Hierarchical factor structure of the WAIS-Revised. Journal of Consulting & Clinical Psychology 50, 5, 652-660.

Brand, C. R. (1996b). The g Factor: General intelligence and its implications. New York: John Wiley & Sons.

Brand, C. R. (1996c). The importance of intelligence in Western societies. J. Biosocial Science 28, 387-404. Fast track learning comes of age.

Brand, C. R. (1996a). Fast track learning comes of age. Personality & Individual Differences 24, 6, 899-900.

Brand, C. R. (2002). The great IQ-score rise: Test sophistication, Caesarian births or masked mystificatory multipliers?

Brand, C. R. (2003). Hereditarianism without tears. Heredity 89.

Brand, C. R., Constales, D., & Kane, H. (in press). Why ignore the g factor? — Historical considerations. Chapter for a festschrift for Arthur Jensen, edited by H. Nyborg, The Scientific Study of General Intelligence, Oxford: Pergamon Press.

Brody, N. (1992). Intelligence. San Diego, CA: Academic Press.

Burt, C. (1940). The Factors of the mind, London: University of London Press.

Carroll, J.B.  (1993). Human cognitive abilities: A survey of factor analytic studies. New York: Cambridge University Press.

Cattell, R.B. (1941). Some theoretical issues in adult intelligence testing. Psychological Bulletin 38, 592.

Ceci, S.J. (1994). Education, achievement, and general intelligence: What ever happened to the psycho in psychometrics? Psychological Inquiry 5, 197-201.

Ceci, S.J. (1991). How much does schooling influence general intelligence and its cognitive components? A reassessment of the evidence. Developmental Psychology 27, 703-722.

Cronbach, L., & Snow, R.E. (1977). Aptitudes and instructional methods: A handbook for research on interactions. New York: Irvington.

Das, J.P., & Naglieri, J.A. (1997). Das-Naglieri: Cognitive assessment system. Chicago: Riverside.

Death Penalty Information Center.  (2002, August 7). Race of defendants executed since 1976. Retrieved August 7, 2002, from http://www.deathpenaltyinfo.org.

Eckstrom, R.B. (1979). Review of cognitive factors. Multivariate Behavioral Research 79, 7-56.

Eysenck, H.J., & Barrett, P. (1985). Psychophysiology and the measurement of intelligence. In C.R. Reynolds & P.C. Willson (eds.), Methodological and statistical advances in the study of individual differences, 1-49. New York: Plenum Press.

Eysenck, H.J., &  Kamin, L. (1981). The intelligence controversy. New York: Wiley & Sons.

Flanagan, J.L. Genshaft, & P.L. Harrison (Eds.), Contemporary intellectual assessment: Theories, tests, and issues, 32-49. New York, NY: The Guilford Press.

Flynn, J.R. (2000). IQ gains and fluid g. American Psychologist, 55, 543.

Flynn, J.R. (1999). Searching for justice: The discovery of IQ gains over time. American Psychologist 54, 5-20.

Fraser, S. (1995). The bell curve wars: Race, intelligence, and the future of America. New York: Basic Books.

Freytag, C. (2001). Teacher Efficacy and Inclusion: The Impact of Preservice Experiences on Beliefs. Paper presented at the Annual Meeting of the Southwest Educational Research Association (24th, New Orleans, LA, February 1-3, 2001).

Gardner, H. (1983). Frames of mind: The theory of multiple intelligences. New York: Basic Books.

Gordon, R.S. (1987). SES versus IQ in the race-IQ-delinquency model. International Journal of Sociology and Social Policy 7, 30-96.

Gould, S.J. (1981). The mismeasure of man. New York: Norton.

Gorsuch, R.L. (1983). Factor analysis. Hillsdale, NJ: Lawrence Erlbaum Associates.

Gross, M. (1994, summer). To group or not to group: Is that the question? Journal of the Indiana Association of the Gifted, 4-20.

Guilford, J.P. (1967). The nature of human intelligence. New York: McGraw-Hill.

Guilford, J.P. (1985). The structure of intellect model. In B.B. Woman (eds). Handbook of intelligence: theories, measurements, and applications, 225-266. New York: Wiley & Sons.

Gustafsson, J.E. (1989). Broad and narrow abilities in research on learning and instruction. In R. Kanfer, P.L. Ackerman, & R. Cudek (eds.), Abilities, motivation, and methodology: The Minnesota Symposium on Learning and Individual Differences, 203-237. Hillsdale, NJ: Erlbaum.

Haier, R. J. (1993). Cerebral glucose metabolism and intelligence. In PA Vernon (ed.), Biological approaches to the study of human intelligence,  317-373. Norwood, NJ: Ablex.

Hernnstein, R.J. & Murray, C. (1994). The bell curve: Intelligence and class structure in American life.Free Press: New York.

Herrnstein, R. and Wilson, J. Q. (1986). Crime and human nature, New York: Simon and Schuster.

Horn, J.L., & Cattell, R.B.  (1966). Refinement and test of the theory of fluid and crystallized ability intelligence. Journal of Education Psychology 57, 253-270.

Horn, J.L., & Noll, J. (1997). Human cognitive capabilities: gf-gc theory. In D. P. Flanagan, J. L. Genshaft, & P. L. Harrison (eds.), Contemporary intellectual assessment: Theories, tests and issues, 53-91. New York: Guilford..

Jensen, A. R. (1969). How much can we boost IQ and scholastic attainment? Harvard Educational Review, 39(1), 1-123.

Jensen, A.R. (1982). Reaction time and psychometric g. In H.J. Eysenck (Ed.), A model for intelligence, 93-132.New York: Springer.

Jensen, A.R. & Reed, T.E. (1992). The correlation between reaction time and the ponderal index. Perceptual-and-Motor-Skills, 75(3), 843-846.

Jensen, A.R. (1994). Understanding g in terms of information processing. Educational Psychology Review  4,271-308.

Jensen, A.R. (1998). The g factor. Westport, CT: Praeger.

Jensen, A.R., & Weng, L. (1993). What is a good g? Intelligence 18, 231-258.

Kranzler, J.H., & Jensen, A.R. (1991).  The nature of psychometric g: Unitary process or a number of independent processes? Intelligence 15, 397-422.

Kranzler, J.H. (1994). Application of the techniques of mental chronometry to the study of learning disabilities. Personality and Individual Differences 16, 853-859.

Kranzler, J.H. & Weng, L. (1995). Factor Structure of the PASS Cognitive Tasks: A Reexamination of Naglieri et al. (1991). Journal of School Psychology, 33, 143-157.

Luria, A.R.  (1973). The working brain: An introduction to neuropsychology. New York: Basic Books.

Lynn, R., and Vanhanen, T. (2002). IQ and the Wealth of Nations, Westport, CT: Praeger.

Miller, E.M. (1994). Intelligence and brain myelination. Personality and Individual Differences 17, 803-832.

Naglieri, J.A. (1989). A cognitive processing theory for the measurement of intelligence.  Educational Psychologist 24, 185-206.

Ogbu, J.U. (1999). Beyond language: Ebonics, proper English, and identity in a Black-American speech community. American Educational Research Journal 36, 147-184.

Ormrod, J.A. (1996). Learning and cognition. New York: Basic Books.

Osmon, D. C., & Jackson, R. (2002). Inspection time and IQ - Fluid or perceptual aspects of intelligence? Intelligence, 30(2), 119-127.

Pinker, S. (2002). The blank slate: The modern denial of human nature. London: Allen Lane.

Raven, J.C. (1956). Guide to using progressive matrices. London: H.K. Lewis.

Ree, M.J., & Earles, J.A. (1993). g is to psychology what carbon is to chemistry: A reply to Sternberg and Wagner, McClelland, and Calfee. Current Directions in Psychological Sciences 2, 11-12.

Reed, T. E., and Jensen, A. R. (1992). Conduction velocity in a brain nerve pathway of normal adults correlates with intelligence level.  Intelligence, 16, 259-272.

Rushton, J. P., & Skuy, M. (2000), Performance on Raven’s matrices by African and White university students in South Africa. Intelligence 28, 4, 251-265.

Rushton, J. P. (2002). Race, brain size, and IQ. The Psychologist 37:2, 28-33.  (Published by the American Psychological Association’s Division of General Psychology.)

Scarr, S. (1985). An author’s frame of mind. New Ideas in Psychology 3, 95-100.

Schmidt, P.B., Ones, D., & Hunter, J.E. (1992). Personnel selection. Annual Review of Psychology 46, 627-670.

Silverman, L.K. (1993). Counseling the gifted and talented. Denver, CO: Love.

Spearman, C. (1904). General intelligence, objectively determined and measured. American Journal of Psychology 15, 201-293.

Spearman, C. (1927).  The abilities of man. London: MacMillan.

Spearman, C. (1941).  How ’g’ can disappear. Psychometrika 6, 353-354.

Sternberg, R.J. (1985). Beyond IQ: A triarchic theory of intelligence. London: Cambridge University Press.

Sternberg, R.J., & Wagner, R. (1986). Practical intelligence: Nature and origins of competence in the everyday world. Cambridge: Cambridge University Press.

Thorndike, R. (1997). The early history of intelligence testing. Found in D.P. Flanagan, J.L. Genshaft, & P.L. Harrison (eds.), Contemporary intellectual assessment: Theories, tests, and issues, 3-17.New York: Guilford.

Thurstone, L.L. (1938). Primary mental abilities. Psychometric Monographs (no. 1).

Thurstone, L. L. (1947). Multiple factor analysis: A development and expansion of The vectors of the mind, Chicago: University of Chicago Press.

Vernon, P.A. (1990). An overview of chronometric measures of intelligence. School-Psychology Review 19(4), 399-410.

Vernon, P.A., & Mori, M. (1990). Psychological approaches to the assessment of intelligence. In C.R. Reynolds & R. Kamphaus (eds.), Handbook of psychological and assessment of children: Intelligence and achievement, 389-402. New York: Guilford.

Yoshikawa, H. (1994). Prevention as a cumulative protection: Effects of early family support and education on chronic delinquency and its risks. Psychological Bulletin 115, 28-54.