| Intelligence Quotient
An intelligence quotient or IQ is a score derived from a set of
standardized tests that were developed with the purpose of measuring
a person's cognitive abilities ("intelligence") in relation
to their age group. IQ tests do not measure intelligence the way
a ruler measures height, but rather the way a race measures speed.
Also, IQ tests measure actual performance, not innate potential.
Among the middle class of industrial societies, IQ is highly heritable,
and by adulthood the influence of family environment on IQ is undetectable.
IQ test scores are correlated with measures of brain structure and
function, as well as performance on simple tasks that anyone can
complete within a few seconds. IQ is strongly correlated with academic
success, but can also predict important life outcomes such as job
performance, socioeconomic advancement, and "social pathologies".
Recent work has demonstrated links between IQ and health, longevity,
and functional literacy.
History
The modern field of IQ testing started with the Stanford-Binet
test. Alfred Binet and his colleague Theodore Simon created the
IQ test in 1905, aimed at identifying students who could benefit
from extra help in school. Their assumption was that a lower IQ
indicated the need for more teaching, not an inability to learn.
This interpretation is still held by some modern experts. The term
"intelligence quotient" comes from Binet's test, in which
each student's score was the quotient of his or her tested academic
age with his or her actual age.
Today, the most commonly administered IQ test is the WISC-III test,
originally developed by David Wechsler in 1974. The WISC-III test
comprises ten types of problems, categorized by difficulty and by
skill type (verbal and performance scales). Another notable type
of IQ test is the Bailey Scale of Infant Development, regarded as
the 'best' means of testing cognitive development in infants.
Online Tests
Although online IQ tests have become wildly popular with the explosion
of the internet in recent years, they are highly inaccurate. Comparing
results among a large set of people shows a common factor: most
scores are above 110. Of course, such tests automatically measure
very few people in the 70 to 90 range, and hence create a strong
upward distortion. Many of these websites do not show the results
immediately and instead attempt to sell certificates showing the
results.
Distribution
IQ scores are expressed as a number normalized so that the average
IQ in an age group is 100 — in other words an individual scoring
115 is above-average when compared to similarly aged people. It
is common, but not invariable, practice to standardize so that the
standard deviation (s) of scores is 15 or 16 ( 24 is used occasionally
as well ). Tests are designed so that the distribution of IQ scores
is Gaussian, that is to say that it follows a bell curve.
(The following numbers apply to IQ scales standard deviation s
= 15.) Roughly 68% of the population has an IQ between 85 and 115.
The "normal" range, or range between -2 and +2 standard
deviations from the mean, is between 70 and 130, and contains about
95% of the population. A score below 70 may indicate mental retardation,
and a score above 130 may indicate intellectual giftedness. Retardation
may result from normal variation or from a genetic or developmental
malady; analogously, some otherwise normal people are very short,
and others have dwarfism. Giftedness appears to be normal variation;
autistic savants have often astonishing cognitive powers but below-average
IQs.
It has been observed that scores outside the range 55 to 145 must
be cautiously interpreted because there are smaller numbers of respondents
with which to make comparisons in those ranges. Moreover, at such
extreme values, the normal distribution is a less accurate estimate
of the true IQ distribution.
In actuality there is a higher percentage of the population measured
at 3sd+ levels on the test than the probabilities of the normal
distribution would predict. Some IQ scoring procedures may attempt
to integrate such clusters of statistical outliers into the curve
by adjusting the scores so that they better represent actual probabilities
(according to Silverman) and in these cases, scores around 145 and
above may actually have been notably higher, were they not so adjusted.
Children's test scores are based on a simple ratio of a child's
"mental age" (representing the age at which the subject's
test performance would normally be expected) divided by the child's
chronological age, times 100. (MA/CA) x 100 = IQ By age 14 and above,
youth and adults are typically tested using adult-normed measures
that no longer use simple ratios for IQ determination.
IQ and g
Modern IQ tests produce scores for different areas (e.g., language
fluency, three-dimensional thinking, etc.), with the summary score
calculated from subtest scores. Individual subtest scores tend to
correlate with one another, even when seemingly disparate in content.
Analyses of an individual's scores on a wide variety of tests (Stanford-Binet,
WISC-R, Raven's Progressive Matrices and others) will reveal that
they all measure a single common factor and various factors that
are specific to each test. This kind of factor analysis has led
to the theory that underlying these disparate cognitive tasks is
a single factor, termed the General_intelligence_factor, that represents
the common-sense concept of intelligence. In the normal population,
g and IQ are roughly 90% correlated and are often used interchangeably.
Genetics vs environment
The role of genes and environment in determining IQ is reviewed
in Plomin et al. (2001, 2003). The degree to which genetic variation
contributes to observed variation in a trait is measured by a statistic
called heritability. Heritability scores range from 0 to 1, and
can be interpreted as the percentage of variation (e.g. in IQ) that
is due to variation in genes. Twins studies and adoption studies
are commonly used to determine the heritability of a trait. Until
recently heritability was mostly studied in children. These studies
yield an estimate of heritability of 0.5; that is, half of the variation
in IQ among the children studied was due to variation in their genes.
The remaining half was thus due to environmental variation and measurement
error. A heritability of 0.5 implies that IQ is "substantially"
heritable.
Considerable research has focused on biological correlates of g;
see General_intelligence_factor and the section on brain size below.
For example, general intelligence and MRI brain volume measurements
are correlated, and the effect is primarily determined by genetic
factors.
Environment
Nearly all personality traits show that, contrary to expectations,
environmental effects actually cause adoptive siblings raised in
the same family to be as different as children raised in different
families (Harris, 1998; Plomin & Daniels, 1987). Put another
way, shared environmental variation for personality is zero, and
all environmental effects are nonshared. Intelligence is actually
an exception to this rule, at least among children. The IQs of adoptive
siblings, who share no genetic relation but do share a common family
environment, are correlated at .32. Despite attempts to isolate
them, the factors that cause adoptive siblings to be similar have
not been identified. However, as explained below, shared family
effects on IQ disappear after adolescence.
Active genotype-environment correlation, also called the "nature
of nurture", is observed for IQ. This phenomenon is measured
similarly to heritability; but instead of measuring variation in
IQ due to genes, variation in environment due to genes is determined.
One study found that 40% of variation in measures of home environment
are accounted for by genetic variation. This suggests that the way
human beings craft their environment is due in part to genetic influences.
Environmental factors may play a larger role in determining IQ
in situations where environmental conditions are more variable.
Proper childhood nutrition appears critical for cognitive development;
malnutrition can lower IQ. Other research indicates environmental
factors such as prenatal exposure to toxins, duration of breastfeeding,
and micronutrient deficiency can affect IQ.
Development
It is reasonable to expect that genetic influences on traits like
IQ should become less important as we gain experiences with age.
Surprisingly, the opposite occurs. Heritability measures in infancy
are as low as 20%, around 40% in middle childhood, and as high as
80% in adulthood.
Shared family effects also seem to disappear by adulthood. Adoption
studies show that, after adolescence, adopted siblings are no more
similar in IQ than strangers (IQ correlation near zero), while full
siblings show an IQ correlation of 0.6. Twin studies reinforce this
pattern: monozygotic (identical) twins raised separately are highly
similar in IQ (0.86), more so than dizygotic (fraternal) twins raised
together (0.6) and much more than adopted siblings (~0.0).
Most of the IQ studies described above were conducted in developed
countries, such as the United States, Japan, and Western Europe.
However, a few studies have been conducted in Moscow, East Germany,
and India, and those studies produce similar results. Any such investigation
is limited to describing the genetic and environmental variation
found within the populations studied. This is a caveat of any heritability
study.
Mental retardation
Mild to severe mental retardation is a symptom of several hundred
single-gene disorders and many chromosomal abnormalities, including
small deletions. Based on twin studies, moderate to severe mental
retardation does not appear to be familial (run in families), but
mild mental retardation does. That is, the relatives of the moderate
to severely mentally retarded have normal IQs, whereas the families
of the mildly mentally retarded have low IQ.
IQ score ranges (from DSM-IV)
- mild mental retardation: IQ 50-55 to 70; children require mild
support; formally called "Educable Mentally Retarded"
- moderate retardation: IQ 35-40 to 50-55; children require moderate
supervision and assistance; formally called "Trainable Mentally
Retarded"
- severe mental retardation: IQ 20-25 to 35-40; can be taught
basic life skills and simple tasks with supervision
- profound mental retardation: IQ below 20-25; usually caused
by a neurological condition; require constant care
The CDC listed the prevalence of mental retardation across race
and gender in a 1991 study: overall, the rate of mental retardation
among blacks was 16.6%, compared to 6.8% for whites. Notable is
that blacks were almost three times as likely to be labeled mildly
mentally retarded as compared to whites. Mild mental retardation
is almost never diagnosed until a person enters elementary school,
which critics claim lends strong support to the notion that IQ tests
are racially biased.
IQ, education, and income
Tambs et al (1989) found that occupational status, educational
attainment, and IQ are individually heritable; and further found
that "genetic variance influencing educational attainment ...
contributed approximately one-fourth of the genetic variance for
occupational status and nearly half the genetic variance for IQ".
In a sample of US siblings, Rowe et al (1997) report that the inequality
in education and income was predominantly due to genes, with shared
environmental factors playing a subordinate role.
Regression
The heritability of IQ determines the extent to which the IQ of
children will be similiar to the IQ of parents. Because the heritability
of IQ is less than 100%, the IQ of children tends to "regress"
towards the mean IQ of the population. That is, high IQ parents
tend to have children who are less bright than their parents, whereas
low IQ parents tend to have children who are brighter than their
parents. The effect can be quantified by the equation where:

is the predicted
average IQ of Mom and Dad's children
is the mean IQ
of the population that Mom and Dad come from
h2 is the heritability of IQ
Thus, if the heritability of IQ is 50%, a couple with an average
IQ of 120 will have children that average around an IQ of 110.
Brain size and IQ
Modern studies using MRI imaging have shown that brain size correlates
with IQ by a factor of roughly .35 to .40. In 1991, Willerman et
al. used data from 40 White American university students and reported
a correlation coefficient of .35. Other studies done on samples
of Caucasians show similar results, with Andreasen et al (1993)
determining a correlation of .38, while Raz et al (1993) obtained
a figure of .43 and Wickett et al (1994) obtained a figure of .40.
The correlation between brain size and IQ seems to hold for comparisons
between and within families (Gignac et al. 2003; Jensen 1994; Jensen
& Johnson 1994). However, one study found no within family correlation
(Schoenemann et al. 2000). A study on twins (Thompson et al., 2001)
showed that frontal gray matter volume was correlated with g and
highly heritable. A related study has reported that the correlation
between brain size (reported to have a heritability of 0.85) and
g is 0.4, and that correlation is mediated entirely by genetic factors
(Posthuma et al 2002).
The Flynn effect
Worldwide, IQ scores appear to be slowly rising, a trend known
as the Flynn effect, so that tests need repeated renormalization.
Sex and IQ
Most IQ tests are designed so that the average IQs of males and
females are equal. However, men tend to score higher in the parts
of the test that cover spatial and quantitative abilities, and women
generally score higher in the verbal sections. Some research has
shown that the variance in men's IQ scores is greater than the variance
among women's, as seen in other cognitive test scores. This would
mean that men are more likely than women to have both very high
and very low IQs.
Religiousness and IQ
Some studies claim a correlation between higher IQ, SAT scores,
GPA and degree of religious belief. Such claims merit skepticism
- especially due to the psychological, sociological and cultural
motivations that often prompt such research. While most of the research
indicates a negative correlation between IQ and religiousness, this
is open to debate.
Health and IQ
Persons with a higher IQ have generally lower adult morbidity
and mortality. This may be because they better avoid injury and
take better care of their own health. It also decreases the risk
of Post-Traumatic Stress Disorder, severe depression, and schizophrenia.
On the other hand, it increases the risk of Obsessive Compulsive
Disorder [2].
Research in Scotland has shown that a 15-point lower IQ meant people
had a fifth less chance of seeing their 76th birthday, while those
with a 30-point disadvantage were 37% less likely than those with
a higher IQ to live that long.
Practical importance
Economic and social correlates of IQ
| Factors |
Correlation |
| School grades and IQ |
0.5 |
| Total years of education and IQ |
0.55 |
| IQ and parental socioeconomic status |
0.33 |
| Job performance and IQ |
0.54 |
| Negative social outcomes and IQ |
-0.2 |
| IQs of identical twins |
0.86 |
| Take same test later |
0.9 |
| IQs of husband and wife |
0.4 |
Economic and social correlates of IQ
| IQ |
<75 |
75-90 |
90-110 |
110-125 |
>125 |
| US population distribution |
5 |
20 |
50 |
20 |
5 |
| Married by age 30 |
72 |
81 |
81 |
72 |
67 |
| Out of labor force more than 1 month out of year (men) |
22 |
19 |
15 |
14 |
10 |
| Unemployed more than 1 month out of year (men) |
12 |
10 |
7 |
7 |
2 |
| Divorced in 5 years |
21 |
22 |
23 |
15 |
9 |
| % of children w/ IQ <75 (mothers) |
39 |
17 |
6 |
7 |
- |
| Lives in poverty |
30 |
16 |
6 |
3 |
2 |
| Ever incarcerated (men) |
7 |
7 |
3 |
1 |
0 |
| Chronic welfare recipient (mothers) |
31 |
17 |
8 |
2 |
0 |
| High school dropout |
55 |
35 |
6 |
0.4 |
0 |
| Values are the percentage of each IQ sub-population
fitting each descriptor. Compiled by Gottfredson (1997) from
Herrnstein & Murray (1994) pp. 171, 158, 163, 174, 230,
180, 132, 194, 247-248, 194, 146 respectively. |
Research shows that intelligence plays an important role in many
valued life outcomes. In addition to academic success, intelligence
correlates with job performance (see below), socioeconomic advancement
(e.g., level of education, occupation, and income), and "social
pathology" (e.g., adult criminality, poverty, unemployment,
dependence on welfare, children outside of marriage). Recent work
has demonstrated links between intelligence and health, longevity,
and functional literacy. Correlations between g and life outcomes
are pervasive, though IQ and happiness do not correlate. IQ and
g correlate highly with school performance and job performance,
less so with occupational prestige, moderately with income, and
only to a small degree with law-abidingness.
General intelligence (in the literature typically called "cognitive
ability") is the best predictor of job performance by the standard
measure, validity. Validity is the correlation between score (in
this case cognitive ability, as measured, typically, by a paper-and-pencil
test) and outcome (in this case job performance, as measured by
a range of factors including supervisor ratings, promotions, training
success, and tenure), and ranges between -1.0 (the score is perfectly
wrong in predicting outcome) and 1.0 (the score perfectly predicts
the outcome). See validity (psychometric). The validity of cognitive
ability for job performance tends to increase with job complexity
and varies across different studies, ranging from 0.2 for unskilled
jobs to 0.8 for the most complex jobs.
A large meta-analysis (Hunter and Hunter, 1984) which pooled validity
results across many studies encompassing thousands of workers (32,124
for cognitive ability), reports that the validity of cognitive ability
for entry-level jobs is 0.54, larger than any other measure including
job tryout (0.44), experience (0.18), interview (0.14), age (-0.01),
education (0.10), and biographical inventory (0.37).
Because higher test validity allows more accurate prediction of
job performance, companies have a strong incentive to use cognitive
ability tests to select and promote employees. IQ thus has great
practical importance in economic terms. The utility of using a one
measure over another is proportional to the difference in their
validities, all else equal. This is one economic reason why companies
use job interviews (validity 0.14) rather than randomly selecting
employees (validity 0.0).
Legal barriers, most prominently the 1971 United States Supreme
Court decision Griggs v. Duke Power Co., have prevented American
employers from directly using cognitive ability tests to select
employees, despite the tests' high validity. Using cognitive ability
scores in selection adversely affects some minority groups, because
different groups have different mean scores on tests of cognitive
ability.
Some researchers have echoed the popular claim that "in economic
terms it appears that the IQ score measures something with decreasing
marginal value. It is important to have enough of it, but having
lots and lots does not buy you that much." (Detterman and Daniel,
1989)
However, some studies suggest IQ continues to confer large benefits
even at very high levels. Ability and performance for jobs are linearly
related, such that at all IQ levels, an increase in IQ translates
into a concomitant increase in performance (Coward and Sackett,
1990). In an analysis of hundreds of siblings, it was found that
IQ has a substantial effect on income independently of family background
(Murray, 1998).
Other studies question the real-world importance of whatever is
measured with IQ tests, especially for differences in accumulated
wealth and general economic inequality in a nation. IQ correlates
highly with school performance but this correlations seems to decrease
the closer one gets to real-world outcomes, like job performance,
and still lower for income. It explains less than one sixth of the
income variance . Even for school grades, other factors explain
most the variance. Regarding economic inequality, one study found
that if we could magically give everyone identical IQs, we would
still see 90 to 95 percent of the inequality we see today. Another
recent study (2002) found that wealth, race and schooling are important
to the inheritance of economic status, but IQ is not a major contributor
and the genetic transmission of IQ is even less important. Some
argue that IQ scores are used as an excuse for not trying to reduce
poverty or otherwise improve living standards for all. Claimed low
intelligence has historically been used to justify the feudal system
and unequal treatment of women (but note that many studies find
identical average IQs among men and women; see sex and intelligence).
In contrast, others claim that the refusal of high-IQ elites to
take IQ seriously as a cause of inequality is itself immoral.
Economic development and IQ
A controversial book IQ and the Wealth of Nations, claims to show
that the wealth of a nation correlates closely to its IQ score.
This claim has been both disputed and supported in peer-reviewed
papers.
Validity and g-loading of specific tests
While IQ is sometimes treated as an end unto itself, scholarly
work on IQ focuses to a large extent on IQ's validity, that is,
the degree to which IQ predicts outcomes such as job performance,
social pathologies, or academic achievement. Different IQ tests
differ in their validity for various outcomes.
Tests also differ in their g-loading, which is the degree to which
the test score reflects general mental ability rather than a specific
skill or "group factor" such as verbal ability, spatial
visualization, or mathematical reasoning). g-loading and validity
are related in the sense that most IQ tests derive their validity
mostly or entirely from the degree to which they measure g (Jensen
1998).
Social construct?
Some maintain that IQ is a social construct invented by the privileged
classes, used to maintain their privilege. Others maintain that
intelligence, measured by IQ or g, reflects a real ability, is a
useful tool in performing life tasks and has a biological reality.
The social-construct and real-ability interpretations for IQ differences
can be distinguished because they make opposite predictions about
what would happen if people were given equal opportunities. The
social explanation predicts that equal treatment will eliminate
differences, while the real-ability explanation predicts that equal
treatment will accentuate differences. Evidence for both outcomes
exists. Achievement gaps persist in socioeconomically advantaged,
integrated, liberal, suburban school districts in the United States
(see Noguera, 2001). Test-score gaps tend to be larger at higher
socioeconomic levels (Gottfredson, 2003). Some studies have reported
a narrowing of score gaps over time.
While public discourse on IQ testing is generally inflammatory,
IQ tests are used ubiquitously in research and education. In general,
there is a disparity between the public perception of IQ testing
and the opinion of intelligence researchers.
The reduction of intelligence to a single score seems extreme and
wrong to many people. Opponents argue that it is much more useful
to know a person's strengths and weaknesses than to know their IQ
score. Such opponents often cite the example of two people with
the same overall IQ score but very different ability profiles. As
measured by IQ tests, most people have highly balanced ability profiles,
with differences in subscores being greater among the more intelligent.
IQ scores are not intended to gauge a person's worth, and in many
situations, IQ may have little relevance.
The Mismeasure of Man
Many scientists disagree with the practice of psychometrics in
general. In The Mismeasure of Man, Professor Stephen Jay Gould strongly
disputes the basis of psychometrics as a form of scientific racism,
objecting that it is:
...the abstraction of intelligence
as a single entity, its location within the brain, its quantification
as one number for each individual, and the use of these numbers
to rank people in a single series of worthiness, invariably
to find that oppressed and disadvantaged groups—races,
classes, or sexes—are innately inferior and deserve their
status. (pp. 24-25). Later editions of the book include criticism
of The Bell Curve.
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The view of the American Psychological Association
In response to the controversy surrounding The Bell Curve, the
American Psychological Association's Board of Scientific Affairs
established a special task force to publish an investigative report
on the research presented in the book. The full text of the report
is available at a third-party website.
The findings of the task force state that IQ scores do have high
predictive validity for individual (but not necessarily population)
differences in school achievement. They confirm the predictive validity
of IQ for adult occupational status, even when variables such as
education and family background have been statistically controlled.
They agree that individual (again, not necessarily population) differences
in intelligence are substantially influenced by genetics.
They state there is little evidence to show that childhood diet
influences intelligence except in cases of severe malnutrition.
They agree that there are no significant differences between the
IQ scores of males and females. The task force agrees that large
differences do exist between the average IQ scores of blacks and
whites, and that these differences cannot be attributed to biases
in test construction. While they admit there is no empirical evidence
supporting it, the APA task force suggests that explanations based
on social status and cultural differences may be possible. Regarding
genetic causes, noted that there is not much direct evidence on
this point, but what little there is fails to support the genetic
hypothesis.
The report was published in 1995 and thus does not include a decade
of recent research.
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