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IQ classification
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IQ classification is the practice of categorizing human intelligence, as measured by intelligence quotient (IQ) tests, into categories such as "superior" and "average".[1][2][3][4]
With the usual IQ scoring methods, an IQ score of 100 means that the test-taker's performance on the test is of average performance in the sample of test-takers of about the same age as was used to norm the test. An IQ score of 115 means performance one standard deviation above the mean, while a score of 85 means performance one standard deviation below the mean, and so on.[5] This "deviation IQ" method is used for standard scoring of all IQ tests in large part because they allow a consistent definition of IQ for both children and adults. By the existing "deviation IQ" definition of IQ test standard scores, about two-thirds of all test-takers obtain scores from 85 to 115, and about 5 percent of the population scores above 125 (i.e. normal distribution).[6]
When IQ testing was first created, Lewis Terman and other early developers of IQ tests noticed that most child IQ scores come out to approximately the same number regardless of testing procedure. Variability in scores can occur when the same individual takes the same test more than once.[7][8] Further, a minor divergence in scores can be observed when an individual takes tests provided by different publishers at the same age.[9] There is no standard naming or definition scheme employed universally by all test publishers for IQ score classifications.
Even before IQ tests were invented, there were attempts to classify people into intelligence categories by observing their behavior in daily life.[10][11] Those other forms of behavioral observation were historically important for validating classifications based primarily on IQ test scores. Some early intelligence classifications by IQ testing depended on the definition of "intelligence" used in a particular case. Contemporary IQ test publishers take into account reliability and error of estimation in the classification procedure.
Differences in individual IQ classification
[edit]| Pupil | KABC-II | WISC-III | WJ-III |
|---|---|---|---|
| Asher | 90 | 95 | 111 |
| Brianna | 125 | 110 | 105 |
| Colin | 100 | 93 | 101 |
| Danica | 116 | 127 | 118 |
| Elpha | 93 | 105 | 93 |
| Fritz | 106 | 105 | 105 |
| Georgi | 95 | 100 | 90 |
| Hector | 112 | 113 | 103 |
| Imelda | 104 | 96 | 97 |
| Jose | 101 | 99 | 86 |
| Keoku | 81 | 78 | 75 |
| Leo | 116 | 124 | 102 |
IQ tests generally are reliable enough that most people 10 years of age and older have similar IQ scores throughout life.[14] Still, some individuals score very differently when taking the same test at different times or when taking more than one kind of IQ test at the same age.[15] About 42% of children change their score by 5 or more points when re-tested.[16]
For example, many children in the famous longitudinal Genetic Studies of Genius begun in 1921 by Lewis Terman showed declines in IQ as they grew up. Terman recruited school pupils based on referrals from teachers, and gave them his Stanford–Binet IQ test. Children with an IQ above 140 by that test were included in the study. There were 643 children in the main study group. When the students who could be contacted again (503 students) were retested at high school age, they were found to have dropped 9 IQ points on average in Stanford–Binet IQ. Some children dropped by 15 IQ points or by 25 points or more. Yet parents of those children thought that the children were still as bright as ever, or even brighter.[17]
Because all IQ tests have error of measurement in the test-taker's IQ score, a test-giver should always inform the test-taker of the confidence interval around the score obtained on a given occasion of taking each test.[18] IQ scores are ordinal scores and are not expressed in an interval measurement unit.[19][20][21][22][23] Besides the reported error interval around IQ test scores, an IQ score could be misleading if a test-giver failed to follow standardized administration and scoring procedures. In cases of test-giver mistakes, the usual result is that tests are scored too leniently, giving the test-taker a higher IQ score than the test-taker's performance justifies. On the other hand, some test-givers err by showing a "halo effect", with low-IQ individuals receiving IQ scores even lower than if standardized procedures were followed, while high-IQ individuals receive inflated IQ scores.[24]
The categories of IQ vary between IQ test publishers as the category labels for IQ score ranges are specific to each brand of test. The test publishers do not have a uniform practice of labeling IQ score ranges, nor do they have a consistent practice of dividing up IQ score ranges into categories of the same size or with the same boundary scores.[25] Thus psychologists should specify which test was given when reporting a test-taker's IQ category if not reporting the raw IQ score.[26] Psychologists and IQ test authors recommend that psychologists adopt the terminology of each test publisher when reporting IQ score ranges.[27][28]
IQ classifications from IQ testing are not the last word on how a test-taker will do in life, nor are they the only information to be considered for placement in school or job-training programs. There is still a dearth of information about how behavior differs between people with differing IQ scores.[29] For placement in school programs, for medical diagnosis, and for career advising, factors other than IQ can be part of an individual assessment as well.
The lesson here is that classification systems are necessarily arbitrary and change at the whim of test authors, government bodies, or professional organizations. They are statistical concepts and do not correspond in any real sense to the specific capabilities of any particular person with a given IQ. The classification systems provide descriptive labels that may be useful for communication purposes in a case report or conference, and nothing more.[30]
— Alan S. Kaufman and Elizabeth O. Lichtenberger, Assessing Adolescent and Adult Intelligence (2006)
IQ classification tables
[edit]There are a variety of individually administered IQ tests in use.[31][32] Not all report test results as "IQ", but most report a standard score with a mean score level of 100. When a test-taker scores higher or lower than the median score, the score is indicated as 15 standard score points higher or lower for each standard deviation difference higher or lower in the test-taker's performance on the test item content.
Wechsler Intelligence Scales
[edit]The Wechsler intelligence scales were developed from earlier intelligence scales by David Wechsler. David Wechsler, using the clinical and statistical skills he gained under Charles Spearman and as a World War I psychology examiner, crafted a series of intelligence tests. These eventually surpassed other such measures, becoming the most widely used and popular intelligence assessment tools for many years. The first Wechsler test published was the Wechsler–Bellevue Scale in 1939.[33] The Wechsler IQ tests for children and for adults are the most frequently used individual IQ tests in the English-speaking world[34] and in their translated versions are perhaps the most widely used IQ tests worldwide.[35] The Wechsler tests have long been regarded as the "gold standard" in IQ testing.[36] The Wechsler Adult Intelligence Scale—Fourth Edition (WAIS–IV) was published in 2008 by The Psychological Corporation.[31] The Wechsler Intelligence Scale for Children—Fifth Edition (WISC–V) was published in 2014 by The Psychological Corporation, and the Wechsler Preschool and Primary Scale of Intelligence—Fourth Edition (WPPSI–IV) was published in 2012 by The Psychological Corporation. Like all contemporary IQ tests, the Wechsler tests report a "deviation IQ" as the standard score for the full-scale IQ, with the norming sample mean raw score defined as IQ 100 and a score one standard deviation higher defined as IQ 115 (and one deviation lower defined as IQ 85).
During the First World War in 1917, adult intelligence testing gained prominence as an instrument for assessing drafted soldiers in the United States. Robert Yerkes, an American psychologist, was assigned to devise psychometric tools to allocate recruits to different levels of military service, leading to the development of the Army Alpha and Army Beta group-based tests. The collective efforts of Binet, Simon, Terman, and Yerkes laid the groundwork for modern intelligence test series.[37]
| IQ Range ("deviation IQ") | IQ Classification[38][39] |
|---|---|
| 130 and above | Very Superior |
| 120–129 | Superior |
| 110–119 | High Average |
| 90–109 | Average |
| 80–89 | Low Average |
| 70–79 | Borderline |
| 69 and below | Extremely Low |
| IQ Range ("deviation IQ") | IQ Classification[40] |
|---|---|
| 130 and above | Extremely High |
| 120–129 | Very High |
| 110–119 | High Average |
| 90–109 | Average |
| 80–89 | Low Average |
| 70–79 | Very Low |
| 69 and below | Extremely Low |
Psychologists have proposed alternative language for Wechsler IQ classifications.[41][42] The term "borderline", which implies being very close to being intellectually disabled (defined as IQ under 70), is replaced in the alternative system by a term that doesn't imply a medical diagnosis.
| Corresponding IQ Range | Classifications | More value-neutral terms |
|---|---|---|
| 130 and above | Very superior | Upper extreme |
| 120–129 | Superior | Well above average |
| 110–119 | High average | High average |
| 90–109 | Average | Average |
| 80–89 | Low average | Below average |
| 70–79 | Borderline | Well below average |
| 69 and below | Extremely low | Lower extreme |
Stanford–Binet Intelligence Scale Fifth Edition
[edit]The fifth edition of the Stanford–Binet scales (SB5) was developed by Gale H. Roid and published in 2003 by Riverside Publishing.[31] Unlike scoring on previous versions of the Stanford–Binet test, SB5 IQ scoring is deviation scoring in which each standard deviation up or down from the norming sample median score is 15 points from the median score, IQ 100, just like the standard scoring on the Wechsler tests.
| IQ Range ("deviation IQ") | IQ Classification |
|---|---|
| 140 and above | Very gifted or highly advanced |
| 130–139 | Gifted or very advanced |
| 120–129 | Superior |
| 110–119 | High average |
| 90–109 | Average |
| 80–89 | Low average |
| 70–79 | Borderline impaired or delayed |
| 55–69 | Mildly impaired or delayed |
| 40–54 | Moderately impaired or delayed |
| 19-39 | Profound mental retardation |
Woodcock–Johnson Test of Cognitive Abilities
[edit]The Woodcock–Johnson a III NU Tests of Cognitive Abilities (WJ III NU) was developed by Richard W. Woodcock, Kevin S. McGrew and Nancy Mather and published in 2007 by Riverside.[31] The WJ III classification terms are not applied.
| IQ Score | WJ III Classification[45] |
|---|---|
| 131 and above | Very superior |
| 121 to 130 | Superior |
| 111 to 120 | High Average |
| 90 to 110 | Average |
| 80 to 89 | Low Average |
| 70 to 79 | Low |
| 69 and below | Very Low |
Kaufman Tests
[edit]The Kaufman Adolescent and Adult Intelligence Test was developed by Alan S. Kaufman and Nadeen L. Kaufman and published in 1993 by American Guidance Service.[31] Kaufman test scores "are classified in a symmetrical, nonevaluative fashion",[46] in other words the score ranges for classification are just as wide above the mean as below the mean, and the classification labels do not purport to assess individuals.
| 130 and above | Upper Extreme |
|---|---|
| 120–129 | Well Above Average |
| 110–119 | Above average |
| 90–109 | Average |
| 80–89 | Below Average |
| 70–79 | Well Below Average |
| 69 and below | Lower Extreme |
The Kaufman Assessment Battery for Children, Second Edition was developed by Alan S. Kaufman and Nadeen L. Kaufman and published in 2004 by American Guidance Service.[31]
| Range of Standard Scores | Name of Category |
|---|---|
| 131–160 | Upper Extreme |
| 116–130 | Above Average |
| 85–115 | Average Range |
| 70–84 | Below Average |
| 40–69 | Lower Extreme |
Cognitive Assessment System
[edit]The Das-Naglieri Cognitive Assessment System test was developed by Jack Naglieri and J. P. Das and published in 1997 by Riverside.[31]
| Standard Scores | Classification |
|---|---|
| 130 and above | Very Superior |
| 120–129 | Superior |
| 110–119 | High Average |
| 90–109 | Average |
| 80–89 | Low Average |
| 70–79 | Below Average |
| 69 and below | Well Below Average |
Differential Ability Scales
[edit]The Differential Ability Scales Second Edition (DAS–II) was developed by Colin D. Elliott and published in 2007 by Psychological Corporation.[31] The DAS-II is a test battery given individually to children, normed for children from ages two years and six months through seventeen years and eleven months.[50] It was normed on 3,480 noninstitutionalized, English-speaking children in that age range.[51] The DAS-II yields a General Conceptual Ability (GCA) score scaled like an IQ score with the mean standard score set at 100 and 15 standard score points for each standard deviation up or down from the mean. The lowest possible GCA score on DAS–II is 30, and the highest is 170.[52]
| GCA | General Conceptual Ability Classification |
|---|---|
| ≥ 130 | Very high |
| 120–129 | High |
| 110–119 | Above average |
| 90–109 | Average |
| 80–89 | Below average |
| 70–79 | Low |
| ≤ 69 | Very low |
Reynolds Intellectual Ability Scales
[edit]Reynolds Intellectual Ability Scales (RIAS) were developed by Cecil Reynolds and Randy Kamphaus. The RIAS was published in 2003 by Psychological Assessment Resources.[31]
| Intelligence test score range | Verbal descriptor |
|---|---|
| ≥ 130 | Significantly above average |
| 120–129 | Moderately above average |
| 110–119 | Above average |
| 90–109 | Average |
| 80–89 | Below average |
| 70–79 | Moderately below average |
| ≤ 69 | Significantly below average |
Historical IQ classification tables
[edit]
Lewis Terman, developer of the Stanford–Binet Intelligence Scales, based his English-language Stanford–Binet IQ test on the French-language Binet–Simon test developed by Alfred Binet. Terman believed his test measured the "general intelligence" construct advocated by Charles Spearman (1904).[55][56] Terman differed from Binet in reporting scores on his test in the form of intelligence quotient ("mental age" divided by chronological age) scores after the 1912 suggestion of German psychologist William Stern. Terman chose the category names for score levels on the Stanford–Binet test. When he first chose classification for score levels, he relied partly on the usage of earlier authors who wrote, before the existence of IQ tests, on topics such as individuals unable to care for themselves in independent adult life. Terman's first version of the Stanford–Binet was based on norming samples that included only white, American-born subjects, mostly from California, Nevada, and Oregon.[57]
| IQ Range ("ratio IQ") | IQ Classification |
|---|---|
| Above 140 | "Near" genius or genius |
| 120–140 | Very superior intelligence |
| 110–120 | Superior intelligence |
| 90–110 | Normal, or average, intelligence |
| 80–90 | Dullness, rarely classifiable as feeble-mindedness |
| 70–80 | Borderline deficiency, sometimes classifiable as dullness, often as feeble-mindedness |
| 69 and below | Definite feeble-mindedness |
Rudolph Pintner proposed a set of classification terms in his 1923 book Intelligence Testing: Methods and Results.[4] Pintner commented that psychologists of his era, including Terman, went about "the measurement of an individual's general ability without waiting for an adequate psychological definition."[60] Pintner retained these terms in the 1931 second edition of his book.[61]
| IQ Range ("ratio IQ") | IQ Classification |
|---|---|
| 130 and above | Very Superior |
| 120–129 | Very Bright |
| 110–119 | Bright |
| 90–109 | Normal |
| 80–89 | Backward |
| 70–79 | Borderline |
Albert Julius Levine and Louis Marks proposed a broader set of categories in their 1928 book Testing Intelligence and Achievement.[62][63] Some of the entries came from contemporary terms for people with intellectual disability.
| IQ Range ("ratio IQ") | IQ Classification |
|---|---|
| 175 and over | Precocious |
| 150–174 | Very superior |
| 125–149 | Superior |
| 115–124 | Very bright |
| 105–114 | Bright |
| 95–104 | Average |
| 85–94 | Dull |
| 75–84 | Borderline |
| 50–74 | Morons |
| 25–49 | Imbeciles |
| 0–24 | Idiots |
The second revision (1937) of the Stanford–Binet test retained "quotient IQ" scoring, despite earlier criticism of that method of reporting IQ test standard scores.[64] The term "genius" was no longer used for any IQ score range.[65] The second revision was normed only on children and adolescents (no adults), and only "American-born white children".[66]
| IQ Range ("ratio IQ") | IQ Classification |
|---|---|
| 140 and above | Very superior |
| 120–139 | Superior |
| 110–119 | High average |
| 90–109 | Normal or average |
| 80–89 | Low average |
| 70–79 | Borderline defective |
| 69 and below | Mentally defective |
A data table published later as part of the manual for the 1960 Third Revision (Form L-M) of the Stanford–Binet test reported score distributions from the 1937 second revision standardization group.
| IQ Range ("ratio IQ") | Percent of Group |
|---|---|
| 160–169 | 0.03 |
| 150–159 | 0.2 |
| 140–149 | 1.1 |
| 130–139 | 3.1 |
| 120–129 | 8.2 |
| 110–119 | 18.1 |
| 100–109 | 23.5 |
| 90–99 | 23.0 |
| 80–89 | 14.5 |
| 70–79 | 5.6 |
| 60–69 | 2.0 |
| 50–59 | 0.4 |
| 40–49 | 0.2 |
| 30–39 | 0.03 |
David Wechsler, developer of the Wechsler–Bellevue Scale of 1939 (which was later developed into the Wechsler Adult Intelligence Scale) popularized the use of "deviation IQs" as standard scores of IQ tests rather than the "quotient IQs" ("mental age" divided by "chronological age") then used for the Stanford–Binet test.[67] He devoted a whole chapter in his book The Measurement of Adult Intelligence to the topic of IQ classification and proposed different category names from those used by Lewis Terman. Wechsler also criticized the practice of earlier authors who published IQ classification tables without specifying which IQ test was used to obtain the scores reported in the tables.[68]
| IQ Range ("deviation IQ") | IQ Classification | Percent Included |
|---|---|---|
| 128 and over | Very Superior | 2.2 |
| 120–127 | Superior | 6.7 |
| 111–119 | Bright Normal | 16.1 |
| 91–110 | Average | 50.0 |
| 80–90 | Dull normal | 16.1 |
| 66–79 | Borderline | 6.7 |
| 65 and below | Defective | 2.2 |
In 1958, Wechsler published another edition of his book Measurement and Appraisal of Adult Intelligence. He revised his chapter on the topic of IQ classification and commented that "mental age" scores were not a more valid way to score intelligence tests than IQ scores.[69] He continued to use the same classification terms.
| IQ Range ("deviation IQ") | IQ Classification | (Theoretical) Percent Included |
|---|---|---|
| 128 and over | Very Superior | 2.2 |
| 120–127 | Superior | 6.7 |
| 111–119 | Bright Normal | 16.1 |
| 91–110 | Average | 50.0 |
| 80–90 | Dull normal | 16.1 |
| 66–79 | Borderline | 6.7 |
| 65 and below | Defective | 2.2 |
The third revision (Form L-M) in 1960 of the Stanford–Binet IQ test used the deviation scoring pioneered by David Wechsler. For rough comparability of scores between the second and third revision of the Stanford–Binet test, scoring table author Samuel Pinneau set 100 for the median standard score level and 16 standard score points for each standard deviation above or below that level. The highest score obtainable by direct look-up from the standard scoring tables (based on norms from the 1930s) was IQ 171 at various chronological ages from three years six months (with a test raw score "mental age" of six years and two months) up to age six years and three months (with a test raw score "mental age" of ten years and three months).[71] The classification for Stanford–Binet L-M scores does not include terms such as "exceptionally gifted" and "profoundly gifted" in the test manual itself. David Freides, reviewing the Stanford–Binet Third Revision in 1970 for the Buros Seventh Mental Measurements Yearbook (published in 1972), commented that the test was obsolete by that year.[72]
| IQ Range ("deviation IQ") | IQ Classification |
|---|---|
| 140 and above | Very superior |
| 120–139 | Superior |
| 110–119 | High average |
| 90–109 | Normal or average |
| 80–89 | Low average |
| 70–79 | Borderline defective |
| 69 and below | Mentally defective |
The first edition of the Woodcock–Johnson Tests of Cognitive Abilities was published by Riverside in 1977. The classifications used by the WJ-R Cog were "modern in that they describe levels of performance as opposed to offering a diagnosis."[45]
| IQ Score | WJ-R Cog 1977 Classification[45] |
|---|---|
| 131 and above | Very superior |
| 121 to 130 | Superior |
| 111 to 120 | High Average |
| 90 to 110 | Average |
| 80 to 89 | Low Average |
| 70 to 79 | Low |
| 69 and below | Very Low |
The revised version of the Wechsler Adult Intelligence Scale (the WAIS-R) was developed by David Wechsler and published by Psychological Corporation in 1981. Wechsler changed a few of the boundaries for classification categories and a few of their names compared to the 1958 version of the test. The test's manual included information about how the actual percentage of people in the norming sample scoring at various levels compared to theoretical expectations.
| IQ Range ("deviation IQ") | IQ Classification | Actual Percent Included | Theoretical Percent Included |
|---|---|---|---|
| 130 and above | Very Superior | 2.6 | 2.2 |
| 120–129 | Superior | 6.9 | 6.7 |
| 110–119 | High Average | 16.6 | 16.1 |
| 90–109 | Average | 49.1 | 50.0 |
| 80–89 | Low Average | 16.1 | 16.1 |
| 70–79 | Borderline | 6.4 | 6.7 |
| 69 and below | Mentally Retarded | 2.3 | 2.2 |
The Kaufman Assessment Battery for Children (K-ABC) was developed by Alan S. Kaufman and Nadeen L. Kaufman and published in 1983 by American Guidance Service.
| Range of Standard Scores | Name of Category | Percent of Norm Sample | Theoretical Percent Included |
|---|---|---|---|
| 130 and above | Upper Extreme | 2.3 | 2.2 |
| 120–129 | Well Above Average | 7.4 | 6.7 |
| 110–119 | Above Average | 16.7 | 16.1 |
| 90–109 | Average | 49.5 | 50.0 |
| 80–89 | Below Average | 16.1 | 16.1 |
| 70–79 | Well Below Average | 6.1 | 6.7 |
| 69 and below | Lower Extreme | 2.1 | 2.2 |
The fourth revision of the Stanford–Binet scales (S-B IV) was developed by Thorndike, Hagen, and Sattler and published by Riverside Publishing in 1986. It retained the deviation scoring of the third revision with each standard deviation from the mean being defined as a 16 IQ point difference. The S-B IV adopted new classification terminology. After this test was published, psychologist Nathan Brody lamented that IQ tests had still not caught up with advances in research on human intelligence during the twentieth century.[74]
| IQ Range ("deviation IQ") | IQ Classification |
|---|---|
| 132 and above | Very superior |
| 121–131 | Superior |
| 111–120 | High average |
| 89–110 | Average |
| 79–88 | Low average |
| 68–78 | Slow learner |
| 67 or below | Mentally retarded |
The third edition of the Wechsler Adult Intelligence Scale (WAIS-III) used different classification terminology from the earliest versions of Wechsler tests.
| IQ Range ("deviation IQ") | IQ Classification |
|---|---|
| 130 and above | Very superior |
| 120–129 | Superior |
| 110–119 | High average |
| 90–109 | Average |
| 80–89 | Low average |
| 70–79 | Borderline |
| 69 and below | Extremely low |
Classification of low IQ
[edit]The earliest terms for classifying individuals of low intelligence were medical or legal terms that preceded the development of IQ testing.[10][11] The legal system recognized a concept of some individuals being so cognitively impaired that they were not responsible for criminal behavior. Medical doctors sometimes encountered adult patients who could not live independently, being unable to take care of their own daily living needs. Various terms were used to attempt to classify individuals with varying degrees of intellectual disability. Many of the earliest terms are now considered extremely offensive.
In modern medical diagnosis, IQ scores alone are not conclusive for a finding of intellectual disability. Recently adopted diagnostic standards place the major emphasis on the adaptive behavior of each individual, with IQ score a factor in diagnosis in addition to adaptive behavior scales. Some advocate for no category of intellectual disability to be defined primarily by IQ scores.[77] Psychologists point out that evidence from IQ testing should always be used with other assessment evidence in mind: "In the end, any and all interpretations of test performance gain diagnostic meaning when they are corroborated by other data sources and when they are empirically or logically related to the area or areas of difficulty specified in the referral."[78]
In the United States, the Supreme Court ruled in the case Atkins v. Virginia, 536 U.S. 304 (2002) that states could not impose capital punishment on people with "mental retardation", defined in subsequent cases as people with IQ scores below 70.[citation needed] This legal standard continues to be actively litigated in capital cases.[79]
Historical
[edit]Historically, terms for intellectual disability eventually became perceived as an insult, in a process commonly known as the euphemism treadmill.[80][81][82] The terms mental retardation and mentally retarded became popular in the middle of the 20th century to replace the previous set of terms, which included "imbecile", "idiot", "feeble-minded", and "moron",[83] among others. By the end of the 20th century, retardation and retard became widely seen as disparaging and politically incorrect, although they are still used in some clinical contexts.[84]
The long-defunct American Association for the Study of the Feeble-minded divided adults with intellectual deficits into three categories in 1916: Idiot indicated the greatest degree of intellectual disability in which a person's mental age is below three years. Imbecile indicated an intellectual disability less severe than idiocy and a mental age between three and seven years. Moron was defined as someone a mental age between eight and twelve.[85] Alternative definitions of these terms based on IQ were also used.[citation needed]
Mongolism and Mongoloid idiot were terms used to identify someone with Down syndrome, as the doctor who first described the syndrome, John Langdon Down, believed that children with Down syndrome shared facial similarities with the now-obsolete category of "Mongolian race". The Mongolian People's Republic requested that the medical community cease the use of the term; in 1960, the World Health Organization agreed the term should cease being used.[86]
Retarded comes from the Latin retardare, 'to make slow, delay, keep back, or hinder', so mental retardation meant the same as mentally delayed. The first record of retarded in relation to being mentally slow was in 1895. The term mentally retarded was used to replace terms like idiot, moron, and imbecile because retarded was not then a derogatory term. By the 1960s, however, the term had taken on a partially derogatory meaning. The noun retard is particularly seen as pejorative; a BBC survey in 2003 ranked it as the most offensive disability-related word.[87] The terms mentally retarded and mental retardation are still fairly common, but organizations such as the Special Olympics and Best Buddies are striving to eliminate their use and often refer to retard and its variants as the "r-word". These efforts resulted in U.S. federal legislation, known as Rosa's Law, which replaced the term mentally retarded with the term intellectual disability in federal law.[88][89]
Classification of high IQ
[edit]Genius
[edit]
Francis Galton (1822–1911) was a pioneer in investigating both eminent human achievement and mental testing. In his book Hereditary Genius, written before the development of IQ testing, he proposed that hereditary influences on eminent achievement are strong, and that eminence is rare in the general population. Lewis Terman chose "'near' genius or genius" as the classification label for the highest classification on his 1916 version of the Stanford–Binet test.[58] By 1926, Terman began publishing about a longitudinal study of California schoolchildren who were referred for IQ testing by their schoolteachers, called Genetic Studies of Genius, which he conducted for the rest of his life. Catherine M. Cox, a colleague of Terman's, wrote a whole book, The Early Mental Traits of 300 Geniuses, published as volume 2 of The Genetic Studies of Genius book series, in which she analyzed biographical data about historic geniuses. Although her estimates of childhood IQ scores of historical figures who never took IQ tests have been criticized on methodological grounds,[90][91][92] Cox's study was thorough in finding out what else matters besides IQ in becoming a genius.[93] By the 1937 second revision of the Stanford–Binet test, Terman no longer used the term "genius" as an IQ classification, nor has any subsequent IQ test.[65][94] In 1939, Wechsler wrote "we are rather hesitant about calling a person a genius on the basis of a single intelligence test score."[95]
The Terman longitudinal study in California eventually provided historical evidence on how genius is related to IQ scores.[96] Many California pupils were recommended for the study by schoolteachers. Two pupils who were tested but rejected for inclusion in the study because their IQ scores were too low, grew up to be Nobel Prize winners in physics: William Shockley[97][98] and Luis Walter Alvarez.[99][100] Based on the historical findings of the Terman study and on biographical examples such as Richard Feynman, who had an IQ of 125 and went on to win the Nobel Prize in physics and become widely known as a genius,[101][102] the view of psychologists and other scholars[who?] of genius is that a minimum IQ, about 125, is strictly necessary for genius,[citation needed] but that IQ is sufficient for the development of genius only when combined with the other influences identified by Cox's biographical study: an opportunity for talent development along with the characteristics of drive and persistence. Charles Spearman, bearing in mind the influential theory that he originated—that intelligence comprises both a "general factor" and "special factors" more specific to particular mental tasks—wrote in 1927, "Every normal man, woman, and child is, then, a genius at something, as well as an idiot at something."[103]
Giftedness
[edit]A major point of consensus among all scholars of intellectual giftedness is that there is no generally agreed upon definition of giftedness.[104] Although there is no scholarly agreement about identifying gifted learners, there is a de facto reliance on IQ scores for identifying participants in school gifted education programs. In practice, many school districts in the United States use an IQ score of 130, including roughly the upper 2 to 3 percent of the national population as a cut-off score for inclusion in school gifted programs.[105]
Five levels of giftedness have been suggested to differentiate the vast difference in abilities that exists between children on varying ends of the gifted spectrum.[106] Although there is no strong consensus on the validity of these quantifiers, they are accepted by many experts of gifted children.
| Classification | IQ Range | σ | Prevalence |
|---|---|---|---|
| Mildly gifted | 115–129 | +1.00–+1.99 | 1:6–1:44 |
| Moderately gifted | 130–144 | +2.00–+2.99 | 1:44–1:1,000 |
| Highly gifted | 145–159 | +3.00–+3.99 | 1:1,000–1:10,000 |
| Exceptionally gifted | 160–179 | +4.00–+5.33 | 1:10,000–1:1,000,000 |
| Profoundly gifted | 180– | +5.33– | < 1:1,000,000 |
As long ago as 1937, Lewis Terman pointed out that error of estimation in IQ scoring increases as IQ score increases, so that there is less and less certainty about assigning a test-taker to one band of scores or another as one looks at higher bands.[107] Modern IQ tests also have large error bands for high IQ scores.[108] As an underlying reality, such distinctions as those between "exceptionally gifted" and "profoundly gifted" have never been well established. All longitudinal studies of IQ have shown that test-takers can bounce up and down in score, and thus switch up and down in rank order as compared to one another, over the course of childhood. IQ classification categories such as "profoundly gifted" are those based on the obsolete Stanford–Binet Third Revision (Form L-M) test.[109] The highest reported standard score for most IQ tests is IQ 160, approximately the 99.997th percentile.[110] IQ scores above this level have wider error ranges as there are fewer normative cases at this level of intelligence.[111][112] Moreover, there has never been any validation of the Stanford–Binet L-M on adult populations, and there is no trace of such terminology in the writings of Lewis Terman. Although two contemporary tests attempt to provide "extended norms" that allow for classification of different levels of giftedness, those norms are not based on well validated data.[113]
See also
[edit]References
[edit]- ^ Wechsler 1958, Chapter 3: The Classification of Intelligence
- ^ Matarazzo 1972, Chapter 5: The Classification of Intelligence
- ^ Gregory 1995, entry "Classification of Intelligence"
- ^ a b c Kamphaus 2005, pp. 518–20 section "Score Classification Schemes"
- ^ Gottfredson 2009, pp. 31–32
- ^ Hunt 2011, p. 5 "As mental testing expanded to the evaluation of adolescents and adults, however, there was a need for a measure of intelligence that did not depend upon mental age. Accordingly the intelligence quotient (IQ) was developed. ... The narrow definition of IQ is a score on an intelligence test ... where 'average' intelligence, that is the median level of performance on an intelligence test, receives a score of 100, and other scores are assigned so that the scores are distributed normally about 100, with a standard deviation of 15. Some of the implications are that: 1. Approximately two-thirds of all scores lie between 85 and 115. 2. Five percent (1/20) of all scores are above 125, and one percent (1/100) are above 135. Similarly, five percent are below 75 and one percent below 65."
- ^ Aiken 1979, p. 139
- ^ Anastasi & Urbina 1997, p. 326 "Correlation studies of test scores provide actuarial data, applicable to group predictions. ... Studies of individuals, on the other hand, may reveal large upward or downward shifts in test scores."
- ^ Kaufman 2009, pp. 151–153 "Thus, even for tests that measure similar CHC constructs and that represent the most sophisticated, high–quality IQ tests ever available at any point in time, IQs differ."
- ^ a b Terman 1916, p. 79 "What do the above IQ's imply in such terms as feeble-mindedness, border-line intelligence, dullness, normality, superior intelligence, genius, etc.? When we use these terms two facts must be borne in mind: (1) That the boundary lines between such groups are absolutely arbitrary, a matter of definition only; and (2) that the individuals comprising one of the groups do not make up a homogeneous type."
- ^ a b Wechsler 1939, p. 37 "The earliest classifications of intelligence were very rough ones. To a large extent they were practical attempts to define various patterns of behavior in medical-legal terms."
- ^ Kaufman 2009, Figure 5.1 IQs earned by preadolescents (ages 12–13) who were given three different IQ tests in the early 2000s
- ^ Kaufman 2013, Figure 3.1 "Source: A. S. Kaufman. IQ Testing 101 (New York: Springer, 2009). Adapted with permission."
- ^ Mackintosh 2011, p. 169 "after the age of 8–10, IQ scores remain relatively stable: the correlation between IQ scores from age 8 to 18 and IQ at age 40 is over 0.70."
- ^ Uzieblo et al. 2012, p. 34 "Despite the increasing disparity between total test scores across intelligence batteries—as the expanding factor structures cover an increasing amount of cognitive abilities (Flanagan, et al., 2010)—Floyd et al. (2008) noted that still 25% of assessed individuals will obtain a 10-point IQ score difference with another IQ battery. Even though not all studies indicate significant discrepancies between intelligence batteries at the group level (e.g., Thompson et al., 1997), the absence of differences at the individual level cannot be automatically assumed."
- ^ Ryan, Joseph J.; Glass, Laura A.; Bartels, Jared M. (2010-02-10). "Stability of the WISC-IV in a Sample of Elementary and Middle School Children". Applied Neuropsychology. 17 (1): 68–72. doi:10.1080/09084280903297933. ISSN 0908-4282. PMID 20146124. S2CID 205615200.
- ^ Shurkin 1992, pp. 89–90 (citing Burks, Jensen & Terman, The Promise of Youth: Follow–up Studies of a Thousand Gifted Children 1930) "Twelve even dropped below the minimum for the Terman study, and one girl fell below 104, barely above average for the general population. ... Interestingly, while his tests measured decreases in test scores, the parents of the children noted no changes at all. Of all the parents who filled out the home questionnaire, 45 percent perceived no change in their children, 54 percent thought their children were getting brighter, including the children whose scores actually dropped."
- ^ Sattler 2008, p. 121 "Whenever you report an overall standard score (e.g., a Full Scale IQ or a similar standard score), accompany it with a confidence interval (see Chapter 4). The confidence interval is a function of both the standard error of measurement and the confidence level: the greater the confidence level (e.g., 99% > 95% > 90% > 85% > 68%) or the lower the reliablility of the test (rxx = .80 < rxx = .85 < rxx = .90), the wider the confidence interval. Psychologists usually use a confidence interval of 95%."
- ^ Matarazzo 1972, p. 121 "The psychologist's effort at classifying intelligence utilizes, at present, an ordinal scale, and is akin to what a layman does when he tries to distinguish colors of the rainbow." (emphasis in original)
- ^ Gottfredson 2009, pp. 32–33 "We cannot be sure that IQ tests provide interval–level measurement rather than just ordinal–level (i.e., rank–order) measurement. ... we really do not know whether a 10–point difference measures the same intellectual difference at all ranges of IQ."
- ^ Mackintosh 2011, pp. 33–34 "Although many psychometricians have argued otherwise (e.g., Jensen 1980), it is not immediately obvious that IQ is even an interval scale, that is, one where, say, the ten–point difference between IQ scores of 110 and 100 is the same as the ten–point difference between IQs of 160 and 150. The most conservative view would be that IQ is simply an ordinal scale: to say that someone has an IQ of 130 is simply to say that their test score lies within the top 2.5% of a representative sample of people the same age."
- ^ Jensen 2011, p. 172 "The problem with IQ tests and virtually all other scales of mental ability in popular use is that the scores they yield are only ordinal (i.e., rank-order) scales; they lack properties of true ratio scales, which are essential to the interpretation of the obtained measures."
- ^ Flynn 2012, p. 160 (quoting Jensen, 2011)
- ^ Kaufman & Lichtenberger 2006, pp. 198–202 (section "Scoring Errors") "Bias errors were in the direction of leniency for all subtests, with Comprehension producing the strongest halo effect."
- ^ Reynolds & Horton 2012, Table 4.1 Descriptions for Standard Score Performances Across Selected Pediatric Neuropsychology Tests
- ^ Aiken 1979, p. 158
- ^ Sattler 1988, p. 736
- ^ Sattler 2001, p. 698 "Tests usually provide some system by which to classify scores. Follow the specified classification system strictly, labeling scores according to what is recommended in the test manual. If you believe that a classification does not accurately reflect the examinee's status, state your concern in the report when you discuss the reliability and validity of the findings."
- ^ Gottfredson 2009, p. 32 "One searches in vain, for instance, for a good accounting of the capabilities that 10-year-olds, 15-year-olds, or adults of 110 usually possess but similarly aged individuals of IQ 90 do not ... IQ tests are not intended to isolate and measure highly specific skills and knowledge. This is the job of suitably designed achievement tests."
- ^ Kaufman & Lichtenberger 2006, p. 89
- ^ a b c d e f g h i Urbina 2011, Table 2.1 Major Examples of Current Intelligence Tests
- ^ Flanagan & Harrison 2012, chapters 8-13, 15-16 (discussing Wechsler, Stanford–Binet, Kaufman, Woodcock–Johnson, DAS, CAS, and RIAS tests)
- ^ Mackintosh 2011, p. 32 "The most widely used individual IQ tests today are the Wechsler tests, first published in 1939 as the Wechsler–Bellevue Scale."
- ^ Saklofske et al. 2003, p. 3 "To this day, the Wechsler tests remain the most often used individually administered, standardized measures for assessing intelligence in children and adults" (citing Camara, Nathan & Puente, 2000; Prifitera, Weiss & Saklofske, 1998)
- ^ Georgas et al. 2003, p. xxv "The Wechsler tests are perhaps the most widely used intelligence tests in the world"
- ^ Meyer & Weaver 2005, p. 219 Campbell 2006, p. 66 Strauss, Sherman & Spreen 2006, p. 283 Foote 2007, p. 468 Kaufman & Lichtenberger 2006, p. 7 Hunt 2011, p. 12
- ^ Carducci, Bernardo J.; Nave, Christopher S.; Fabio, Annamaria; Saklofske, Donald H.; Stough, Con, eds. (2020-09-18). The Wiley Encyclopedia of Personality and Individual Differences. doi:10.1002/9781119547174. ISBN 9781119057536.
- ^ Weiss et al. 2006, Table 5 Qualitative Descriptions of Composite Scores
- ^ a b c Sattler 2008, inside back cover
- ^ Kaufman, Alan S.; Engi Raiford, Susan; Coalson, Diane L. (2016). Intelligent Testing With the WISC-V. Hoboken, New Jersey: John Wiley & Sons. p. 237. ISBN 978-1-118-58923-6.
- ^ Kamphaus 2005, p. 519 "Although the Wechsler classification system for intelligence test scores is by far the most popular, it may not be the most appropriate (Reynolds & Kaufman 1990)."
- ^ Groth-Marnat 2009, p. 136
- ^ Groth-Marnat 2009, Table 5.5
- ^ a b Kaufman 2009, p. 112
- ^ a b c Kamphaus 2005, p. 337
- ^ Kamphaus 2005, pp. 367–68
- ^ Kaufman et al. 2005, Table 3.1 Descriptive Category System
- ^ Gallagher & Sullivan 2011, p. 347
- ^ Naglieri 1999, Table 4.1 Descriptive Categories of PASS and Full Scale Standard Scores
- ^ Dumont, Willis & Elliot 2009, p. 11
- ^ Dumont, Willis & Elliot 2009, p. 20
- ^ Dumont & Willis 2013, "Range of DAS Subtest Scaled Scores" (Web resource)
- ^ Dumont, Willis & Elliot 2009, Table Rapid Reference 5.1 DAS-II Classification Schema
- ^ Reynolds & Kamphaus 2003, p. 30 (Table 3.2 RIAS Scheme of Verbal Descriptors of Intelligence Test Performance)
- ^ Spearman 1904
- ^ Wasserman 2012, pp. 19–20 "The scale does not pretend to measure the entire mentality of the subject, but only general intelligence. (citing Terman, 1916, p. 48, emphasis in original)
- ^ Wasserman 2012, p. 19 "No foreign-born or minority children were included. ... The overall sample was predominantly white, urban, and middle-class"
- ^ a b Terman 1916, p. 79
- ^ Kaufman 2009, p. 110
- ^ Naglieri 1999, p. 7 "The concept of general intelligence was assumed to exist, and psychologists went about 'the measurement of an individual's general ability without waiting for an adequate psychological definition.' (Pintner, 1923, p. 52)."
- ^ Pintner 1931, p. 117
- ^ a b Levine & Marks 1928, p. 131
- ^ a b Kamphaus et al. 2012, pp. 57–58 (citing Levine and Marks, page 131)
- ^ Wasserman 2012, p. 35 "Inexplicably, Terman and Merrill made the mistake of retaining a ratio IQ (i.e., mental age/chronological age) on the 1937 Stanford–Binet, even though the method had long been recognized as producing distorted IQ estimates for adolescents and adults (e.g., Otis, 1917). Terman and Merrill (1937, pp. 27–28) justified their decision on the dubious ground that it would have been too difficult to reeducate teachers and other test users familiar with ratio IQ."
- ^ a b c d Terman & Merrill 1960, p. 18
- ^ Terman & Merrill 1937, p. 20
- ^ Wasserman 2012, p. 35 "The 1939 test battery (and all subsequent Wechsler intelligence scales) also offered a deviation IQ, the index of intelligence based on statistical difference from the normative mean in standardized units, as Arthur Otis (1917) had proposed. Wechsler deserves credit for popularizing the deviation IQ, although the Otis Self-Administering Tests and the Otis Group Intelligence Scale had already used similar deviation-based composite scores in the 1920s."
- ^ Wechsler 1939, pp. 39–40 "We have seen equivalent Binet I.Q. ratings reported for nearly every intelligence test now in use. In most cases the reporters proceeded to interpret the I.Q.'s obtained as if the tests measured the same thing as the Binet, and the indices calculated were equivalent to those obtained on the Stanford–Binet. ... The examiners were seemingly unaware of the fact that identical I.Q.'s on the different tests might well represent very different orders of intelligence."
- ^ Wechsler 1958, pp. 42–43 "In brief, mental age is no more an absolute measure of intelligence than any other test score."
- ^ Wechsler 1958, p. 42 Table 3 Intelligence classification of WAIS IQ's
- ^ Terman & Merrill 1960, pp. 276–296 (scoring tables for 1960 Stanford–Binet)
- ^ Freides 1972, pp. 772–773 "My comments in 1970 [published in 1972] are not very different from those made by F. L. Wells 32 years ago in The 1938 Mental Measurements Yearbook. The Binet scales have been around for a long time and their faults are well known."
- ^ a b Gregory 1995, Table 4 Ability classifications, IQ ranges, and percent of norm sample for contemporary tests
- ^ Naglieri 1999, p. 7 "In fact, the stagnation of intelligence tests is apparent in Brody's (1992) statement: 'I do not believe that our intellectual progress has had a major impact on the development of tests of intelligence' (p. 355)."
- ^ Sattler 1988, Table BC-2 Classification Ratings on Stanford–Binet: Fourth Edition, Wechsler Scales, and McCarthy Scales
- ^ Kaufman 2009, p. 122
- ^ American Psychiatric Association 2013, pp. 33–37 Intellectual Disability (Intellectual Development Disorder): Specifiers "The various levels of severity are defined on the basis of adaptive functioning, and not IQ scores, because it is adaptive functioning that determines the level of supports required. Moreover, IQ measures are less valid in the lower end of the IQ range."
- ^ Flanagan & Kaufman 2009, p. 134 (emphasis in original)
- ^ Flynn 2012, Chapter 4: Death, Memory, and Politics
- ^ Shaw, Steven R.; Anna M.; Jankowska (2018). Pediatric Intellectual Disabilities at School. Brooklyn, New York: Springer. p. 5. ISBN 978-3-030-02990-6.
- ^ Gernsbacher, Morton Ann; Raimond, Adam R.; Balinghasay, M. Theresa; Boston, Jilana S. (2016-12-19). ""Special needs" is an ineffective euphemism". Cognitive Research: Principles and Implications. 1 (1): 29. doi:10.1186/s41235-016-0025-4. ISSN 2365-7464. PMC 5256467. PMID 28133625.
- ^ Nash, Chris; Hawkins, Ann; Kawchuk, Janet; Shea, Sarah E (February 2012). "What's in a name? Attitudes surrounding the use of the term 'mental retardation'". Paediatrics & Child Health. 17 (2): 71–74. doi:10.1093/pch/17.2.71. ISSN 1205-7088. PMC 3299349. PMID 23372396.
- ^ Rafter, Nicole Hahn (1998). Creating Born Criminals. University of Illinois Press, ISBN 978-0-252-06741-9
- ^ Cummings NA, Wright RH (2005). "Chapter 1, Psychology's surrender to political correctness". Destructive trends in mental health: the well-intentioned path to harm. New York: Routledge. ISBN 978-0-415-95086-2.
- ^ Treadway, Walter L. (1916). "The Feeble-Minded: Their Prevalence and Needs in the School Population of Arkansas". Public Health Reports. 31 (47): 3231–3247. doi:10.2307/4574285. hdl:2027/loc.ark:/13960/t4hm5zr5h. ISSN 0094-6214. JSTOR 4574285. S2CID 68261373.
- ^ Howard-Jones N (January 1979). "On the diagnostic term "Down's disease"". Medical History. 23 (1): 102–4. doi:10.1017/s0025727300051048. PMC 1082401. PMID 153994.
- ^ "Worst Word Vote". Ouch. BBC. 2003. Archived from the original on 2007-03-20. Retrieved 2007-08-17.
- ^ Rosa's Law, Pub. L. 111-256, 124 Stat. 2643 (2010).
- ^ "SpecialOlympics.org". SpecialOlympics.org. Archived from the original on 2010-07-30. Retrieved 2010-06-29.
- ^ Pintner 1931, pp. 356–357 "From a study of these boyhood records, estimates of the probable I.Q.s of these men in childhood have been made. ... It is of course obvious that much error may creep into an experiment of this sort, and the I.Q. assigned to any one individual is merely a rough estimate, depending to some extent upon how much information about his boyhood years has come down to us."
- ^ Shurkin 1992, pp. 70–71 "She, of course, was not measuring IQ, she was measuring the length of biographies in a book. Generally, the more information, the higher the IQ. Subjects were dragged down if there was little information about their early lives."
- ^ Eysenck 1995, p. 59 "Cox might well have been advised to reject a few of her geniuses for lack of evidence." Eysenck 1998, p. 126 "Cox found that the more was known about a person's youthful accomplishments, that is, what he had done before he was engaged in doing the things that made him known as a genius, the higher was his IQ ... So she proceeded to make a statistical correction in each case for lack of knowledge; this bumped up the figure considerably for the geniuses about whom little was in fact known. ... I am rather doubtful about the justification for making the correction."
- ^ Cox 1926, pp. 215–219, 218 (Chapter XIII: Conclusions) "3. That all equally intelligent children do not as adults achieve equal eminence is in part accounted for by our last conclusion: youths who achieve eminence are characterized not only by high intellectual traits, but also by persistence of motive and effort, confidence in their abilities, and great strength or force of character." (emphasis in original)
- ^ Kaufman 2009, p. 117 "Terman (1916), as I indicated, used near genius or genius for IQs above 140, but mostly very superior has been the label of choice" (emphasis in original)
- ^ Wechsler 1939, p. 45
- ^ Eysenck 1998, pp. 127–128 "Terman, who originated those 'Genetic Studies of Genius', as he called them, selected ... children on the basis of their high IQs, the mean was 151 for both sexes. Seventy–seven who were tested with the newly translated and standardized Binet test had IQs of 170 or higher–well at or above the level of Cox's geniuses. What happened to these potential geniuses–did they revolutionize society? ... The answer in brief is that they did very well in terms of achievement, but none reached the Nobel Prize level, let alone that of genius. ... It seems clear that these data powerfully confirm the suspicion that intelligence is not a sufficient trait for truly creative achievement of the highest grade."
- ^ Simonton 1999, p. 4 "When Terman first used the IQ test to select a sample of child geniuses, he unknowingly excluded a special child whose IQ did not make the grade. Yet a few decades later that talent received the Nobel Prize in physics: William Shockley, the cocreator of the transistor. Ironically, not one of the more than 1,500 children who qualified according to his IQ criterion received so high an honor as adults."
- ^ Shurkin 2006, p. 13 (See also "The Truth About the 'Termites'"; Kaufman, S. B. 2009)
- ^ Leslie 2000. "We also know that two children who were tested but didn't make the cut -- William Shockley and Luis Alvarez -- went on to win the Nobel Prize in Physics. According to Hastorf, none of the Terman kids ever won a Nobel or Pulitzer."
- ^ Park, Lubinski & Benbow 2010. "There were two young boys, Luis Alvarez and William Shockley, who were among the many who took Terman's tests but missed the cutoff score. Despite their exclusion from a study of young 'geniuses,' both went on to study physics, earn PhDs, and win the Nobel prize."
- ^ Gleick 2011, p. 32 "Still, his score on the school IQ test was a merely respectable 125."
- ^ Robinson 2011, p. 47 "After all, the American physicist Richard Feynman is generally considered an almost archetypal late 20th-century genius, not just in the United States but wherever physics is studied. Yet, Feynman's school-measured IQ, reported by him as 125, was not especially high"
- ^ Spearman 1927, p. 221
- ^ Sternberg, Jarvin & Grigorenko 2010, Chapter 2: Theories of Giftedness
- ^ McIntosh, Dixon & Pierson 2012, pp. 636–637
- ^ a b Gross 2000, pp. 3–9
- ^ Terman & Merrill 1937, p. 44 "The reader should not lose sight of the fact that a test with even a high reliability yields scores which have an appreciable probable error. The probable error in terms of mental age is of course larger with older than with young children because of the increasing spread of mental age as we go from younger to older groups. For this reason it has been customary to express the P.E. [probable error] of a Binet score in terms of I.Q., since the spread of Binet I.Q.'s is fairly constant from age to age. However, when our correlation arrays [between Form L and Form M] were plotted for separate age groups they were all discovered to be distinctly fan-shaped. Figure 3 is typical of the arrays at every age level. From Figure 3 it becomes clear that the probable error of an I.Q. score is not a constant amount, but a variable which increases as I.Q. increases. It has frequently been noted in the literature that gifted subjects show greater I.Q. fluctuation than do clinical cases with low I.Q.'s ... we now see that this trend is inherent in the I.Q. technique itself, and might have been predicted on logical grounds."
- ^ Lohman & Foley Nicpon 2012, Section "Conditional SEMs" "The concerns associated with SEMs [standard errors of measurement] are actually substantially worse for scores at the extremes of the distribution, especially when scores approach the maximum possible on a test ... when students answer most of the items correctly. In these cases, errors of measurement for scale scores will increase substantially at the extremes of the distribution. Commonly the SEM is from two to four times larger for very high scores than for scores near the mean (Lord, 1980)."
- ^ Lohman & Foley Nicpon 2012, Section "Scaling Issues" "The spreading out of scores for young children at the extremes of the ratio IQ scale is viewed as a positive attribute of the SB-LM by clinicians who want to distinguish among the highly and profoundly gifted (Silverman, 2009). Although spreading out the test scores in this way may be helpful, the corresponding normative scores (i.e., IQs) cannot be trusted both because they are based on out-of-date norms and because the spread of IQ scores is a necessary consequence of the way ratio IQs are constructed, not a fact of nature."
- ^ Hunt 2011, p. 8
- ^ Perleth, Schatz & Mönks 2000, p. 301 "Norm tables that provide you with such extreme values are constructed on the basis of random extrapolation and smoothing but not on the basis of empirical data of representative samples."
- ^ Urbina 2011, Chapter 2: Tests of Intelligence. "[Curve-fitting] is just one of the reasons to be suspicious of reported IQ scores much higher than 160"
- ^ Lohman & Foley Nicpon 2012, Section "Scaling Issues" "Modern tests do not produce such high scores, in spite of heroic efforts to provide extended norms for both the Stanford Binet, Fifth Edition (SB-5) and the WISC-IV (Roid, 2003; Zhu, Clayton, Weiss, & Gabel, 2008)."
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- McIntosh, David E.; Dixon, Felicia A.; Pierson, Eric E. (2012). "Chapter 25: Use of Intelligence Tests in the Identification of Giftedness". In Flanagan, Dawn P.; Harrison, Patti L. (eds.). Contemporary Intellectual Assessment: Theories, tests, and issues (Third ed.). New York (NY): Guilford Press. pp. 623–642. ISBN 978-1-60918-995-2.
- Meyer, Robert G.; Weaver, Christopher M. (2005). Law and Mental Health: A Case-Based Approach. New York: Guilford Press. ISBN 978-1-59385-221-4.
- Naglieri, Jack A. (1999). Essentials of CAS Assessment. Essentials of Psychological Assessment. Hoboken (NJ): Wiley. ISBN 978-0-471-29015-5.
- Park, Gregory; Lubinski, David; Benbow, Camilla P. (2 November 2010). "Recognizing Spatial Intelligence". Scientific American. Retrieved 5 June 2013.
- Perleth, Christoph; Schatz, Tanja; Mönks, Franz J. (2000). "Early Identification of High Ability". In Heller, Kurt A.; Mönks, Franz J.; Sternberg, Robert J.; Subotnik, Rena F. (eds.). International Handbook of Giftedness and Talent (2nd ed.). Amsterdam: Pergamon. ISBN 978-0-08-043796-5.
- Pintner, Rudolph (1931). Intelligence Testing: Methods and Results. New York: Henry Holt. Retrieved 14 July 2013.
- Reynolds, Cecil; Kamphaus, Randy (2003). "Reynolds Intellectual Assessment Scales™ (RIAS™)". PAR(Psychological Assessment Resources). Archived from the original (PowerPoint) on 9 October 2021. Retrieved 11 July 2013.
- Reynolds, Cecil R.; Horton, Arthur M. (2012). "Chapter 3: Basic Psychometrics and Test Selection for an Independent Pediatric Forensic Neuropsychology Evaluation". In Sherman, Elizabeth M.; Brooks, Brian L. (eds.). Pediatric Forensic Neuropsychology (Third ed.). Oxford: Oxford University Press. pp. 41–65. ISBN 978-0-19-973456-6.
- Robinson, Andrew (2011). Genius: A Very Short Introduction. Oxford: Oxford University Press. ISBN 978-0-19-959440-5.
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- Sattler, Jerome M. (1988). Assessment of Children (Third ed.). San Diego (CA): Jerome M. Sattler, Publisher. ISBN 978-0-9618209-0-9.
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- Shurkin, Joel (1992). Terman's Kids: The Groundbreaking Study of How the Gifted Grow Up. Boston (MA): Little, Brown. ISBN 978-0-316-78890-8.
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- Spearman, C. (April 1904). ""General Intelligence," Objectively Determined and Measured" (PDF). American Journal of Psychology. 15 (2): 201–292. doi:10.2307/1412107. JSTOR 1412107. Archived from the original (PDF) on 7 April 2014. Retrieved 31 May 2013.
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- Terman, Lewis M. (1916). The Measurement of Intelligence: An Explanation of and a Complete Guide to the Use of the Stanford Revision and Extension of the Binet–Simon Intelligence Scale. Riverside Textbooks in Education. Ellwood P. Cubberley (Editor's Introduction). Boston: Houghton Mifflin. Retrieved 26 June 2010.
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- Terman, Lewis Madison; Merrill, Maude A. (1960). Stanford–Binet Intelligence Scale: Manual for the Third Revision Form L-M with Revised IQ Tables by Samuel R. Pinneau. Boston (MA): Houghton Mifflin.
- Urbina, Susana (2011). "Chapter 2: Tests of Intelligence". In Sternberg, Robert J.; Kaufman, Scott Barry (eds.). The Cambridge Handbook of Intelligence. Cambridge: Cambridge University Press. pp. 20–38. ISBN 978-0-521-73911-5.
- Uzieblo, Katarzyna; Winter, Jan; Vanderfaeillie, Johan; Rossi, Gina; Magez, Walter (2012). "Intelligent Diagnosing of Intellectual Disabilities in Offenders: Food for Thought" (PDF). Behavioral Sciences & the Law. 30 (1): 28–48. doi:10.1002/bsl.1990. PMID 22241548. Retrieved 15 July 2013.
- Wasserman, John D. (2012). "Chapter 1: A History of Intelligence Assessment". In Flanagan, Dawn P.; Harrison, Patti L. (eds.). Contemporary Intellectual Assessment: Theories, tests, and issues (Third ed.). New York (NY): Guilford Press. pp. 3–55. ISBN 978-1-60918-995-2.
- Wechsler, David (1939). The Measurement of Adult Intelligence (first ed.). Baltimore (MD): Williams & Witkins. LCCN 39014016.
- Wechsler, David (1958). The Measurement and Appraisal of Adult Intelligence (fourth ed.). Baltimore (MD): Williams & Witkins. Retrieved 4 June 2013.
- Weiss, Lawrence G.; Saklofske, Donald H.; Prifitera, Aurelio; Holdnack, James A., eds. (2006). WISC-IV Advanced Clinical Interpretation. Practical Resources for the Mental Health Professional. Burlington (MA): Academic Press. ISBN 978-0-12-088763-7. This practitioner's handbook includes chapters by L.G. Weiss, J.G. Harris, A. Prifitera, T. Courville, E. Rolfhus, D.H. Saklofske, J.A. Holdnack, D. Coalson, S.E. Raiford, D.M. Schwartz, P. Entwistle, V. L. Schwean, and T. Oakland.
Further reading
[edit]- Gordon, Robert A. (1997). "Everyday life as an intelligence test: Effects of intelligence and intelligence context." Intelligence 24(1): 203-320. doi:10.1016/S0160-2896(97)90017-9
- Gottfredson, Linda S. (1997). "Why g matters: The complexity of everyday life." Intelligence 24, 79–132. doi:10.1016/S0160-2896(97)90014-3
- Cattell, Raymond (1987). Intelligence: Its Structure, Growth and Action. New York: North-Holland.
External links
[edit]IQ classification
View on GrokipediaDefinition and Conceptual Foundations
Core Definition and Measurement
The intelligence quotient (IQ) is a numerical score derived from a battery of standardized psychometric tests designed to assess an individual's cognitive abilities, including reasoning, problem-solving, memory, and processing speed, relative to a normative population. These tests aim to quantify general intelligence, often denoted as the g-factor, which represents the common variance underlying performance across diverse cognitive tasks. In contemporary usage, IQ scores are normed to follow a normal (Gaussian) distribution with a population mean of 100 and standard deviation of 15, such that approximately 68% of scores fall between 85 and 115, and 95% between 70 and 130.[10][11] Measurement of IQ employs the deviation method, where raw performance on test items is first scaled against age-appropriate norms established through large, stratified sampling of the population (typically thousands of participants across demographics). The individual's z-score is computed as (raw score minus normative mean) divided by the normative standard deviation, then transformed to an IQ score via the formula IQ = 100 + 15 × z-score. This approach ensures comparability across ages and test versions by emphasizing relative standing rather than absolute developmental milestones. Subtests contribute to full-scale IQ via weighted composites, with reliability coefficients often exceeding 0.90 for test-retest stability in adults.[12] This deviation-based scoring supplanted the original ratio IQ formula—(mental age / chronological age) × 100—developed by William Stern in 1912, which proved inadequate for adults whose cognitive growth plateaus while chronological age continues. Empirical validation of IQ measurement includes strong predictive validity for outcomes such as educational attainment (correlations of 0.5–0.8) and job performance (correlations around 0.5–0.6), derived from meta-analyses of longitudinal data, though scores can vary by 5–10 points across test administrations due to factors like fatigue or practice effects.[13][14]Historical Origins and Evolution
![Francis Galton2.jpg][float-right] The measurement of intelligence traces its psychometric origins to Francis Galton in the late 19th century, who pioneered quantifiable assessments through sensory discrimination tasks, reaction times, and anthropometric measures such as head size, positing that innate ability correlated with physiological traits and heredity.[15] Galton's work emphasized statistical methods like the correlation coefficient to study individual differences, influencing later developments in intelligence testing despite limited success in directly gauging higher cognitive faculties.[16] In 1905, French psychologists Alfred Binet and Théodore Simon developed the Binet-Simon scale, the first practical intelligence test, commissioned by the French Ministry of Education to identify schoolchildren requiring special assistance due to intellectual delays.[4] The scale assigned a mental age based on performance across age-normed tasks assessing reasoning, memory, and judgment, without initially employing a quotient formula or categorical labels beyond broad educational needs.[17] This approach marked a shift from Galton's sensory focus to practical cognitive evaluation, prioritizing predictive utility for scholastic aptitude over innate capacity debates.[18] American psychologist Henry Goddard imported and adapted the Binet-Simon test in 1908, applying it to classify levels of mental deficiency at institutions like the Vineland Training School.[19] Goddard formalized clinical categories in 1910: idiot for IQ equivalents below 25, imbecile for 25-50, and moron for 51-70, terms intended as scientific descriptors for hereditary feeblemindedness to inform eugenic policies, though later criticized for overemphasizing inheritance without environmental controls.[20] These labels derived from ratio approximations but gained traction in U.S. psychological and legal contexts, influencing immigration screening and sterilization advocacy.[21] Lewis Terman at Stanford University revised the Binet-Simon scale in 1916 as the Stanford-Binet Intelligence Scale, standardizing it on over 1,000 American children and introducing the intelligence quotient (IQ) formula: (mental age / chronological age) × 100, enabling ratio-based scoring applicable primarily to youth.[4] Terman's version included detailed classifications, such as "near genius or genius" above 140, "very superior" 120-140, down to "definite feeble-mindedness" below 70, with subdivisions like "total idiot" under 20, reflecting a normal distribution assumption as depicted in his era's score charts.[3] This adaptation popularized IQ testing in education and clinical settings, though its ratio method inflated scores for younger children and plateaued for adults, prompting refinements.[22] The limitations of ratio IQ—particularly its inapplicability to adults whose mental age does not proportionally advance—led to the deviation IQ model's adoption in the 1930s. Pioneered by David Wechsler in his 1939 Wechsler-Bellevue Scale, deviation IQ expresses scores as standard deviations from a population mean of 100 (SD=15 for adults), assuming a Gaussian distribution and enabling age-independent comparisons.[4] This evolution facilitated broader norming across lifespan stages, refined classifications to descriptive bands like "superior" (120-129) and "borderline" (70-79), and diminished reliance on outdated clinical terms, aligning assessments with statistical rigor over ratio artifacts.[23] Subsequent revisions, such as the 1937 Stanford-Binet Third Revision, incorporated hybrid elements but fully transitioned to deviation scoring by mid-century, enhancing reliability for diverse applications while preserving the core aim of quantifying cognitive variance.[3]Theoretical Underpinnings
The g-Factor and Hierarchical Models of Intelligence
The g factor, denoting general intelligence, emerges as the dominant common factor in psychometric analyses of cognitive test batteries, capturing the shared variance across diverse mental abilities. Charles Spearman introduced the concept in 1904, observing a consistent positive correlation—termed the positive manifold—among schoolchildren's performances on unrelated tasks like sensory discrimination, word knowledge, and mathematical reasoning, which factor analysis attributed to an underlying general ability rather than independent specifics.[24][25] This g explains 40-50% of individual differences in test scores, with the remainder attributable to group-specific (s) factors or test-unique variance, as confirmed in hierarchical factor extractions from large datasets.[25] Hierarchical models position g at the apex of intelligence structure, subordinating lower-level abilities that contribute to but do not fully encompass overall cognitive performance. Spearman's two-factor theory (general g plus specific s factors) laid the foundation, evolving through Louis Thurstone's 1930s identification of primary mental abilities (e.g., verbal comprehension, perceptual speed), which subsequent analyses revealed loaded onto a superordinate g. Empirical support derives from principal components or bifactor analyses of batteries like the Wechsler scales, where g loadings predict real-world outcomes—such as academic achievement and job performance—more robustly than isolated factors, with correlations often exceeding 0.5.[5][26] The Cattell-Horn-Carroll (CHC) theory represents the prevailing hierarchical framework, integrating g with Raymond Cattell's 1940s fluid (Gf, novel problem-solving) versus crystallized (Gc, acquired knowledge) dichotomy, John Horn's expansions into 10+ broad abilities, and John Carroll's 1993 reanalysis of 460+ datasets yielding a three-stratum model. Stratum III comprises singular g; Stratum II features 10-16 broad factors (e.g., Gf, Gc, visual-spatial Gv, short-term memory Gsm); Stratum I includes 70+ narrow skills. This taxonomy, validated through cross-battery factor analyses, underpins contemporary IQ test design while preserving g's primacy, as g saturations remain high (0.6-0.8) across strata.[27][28][29] Despite critiques questioning g's causal status versus statistical artifact, its persistence in diverse populations and predictive utility affirm its empirical reality over purely modular alternatives.[5]Heritability Estimates and Genetic Influences
Heritability in the context of IQ refers to the proportion of observed variance in intelligence scores within a population attributable to genetic differences among individuals, estimated primarily through behavioral genetic methods such as twin and adoption studies.[30] These methods compare resemblances between monozygotic (identical) twins, who share nearly 100% of their genes, and dizygotic (fraternal) twins, who share about 50%, controlling for shared environments.[31] Meta-analyses of such studies, encompassing thousands of twin pairs, yield heritability estimates for general cognitive ability averaging around 50% across the lifespan, with genetic factors accounting for half or more of individual differences in IQ.[32] [33] Heritability estimates rise substantially from childhood to adulthood, a pattern known as the Wilson effect, reflecting diminishing shared environmental influences as individuals age and select environments correlated with their genotypes.[34] In childhood (around age 9), heritability is approximately 41%, increasing to 55% by adolescence (age 12), 66% by late adolescence (age 16), and reaching 80% or higher in adulthood (ages 18-20 and beyond).[30] [31] This trend holds across multiple datasets, including longitudinal twin studies, where stable genetic factors explain nearly 90% of IQ stability in later life.[35] Adoption studies reinforce these findings, showing IQ correlations between biological relatives higher than with adoptive ones, and fading environmental effects over time.[36] Despite institutional tendencies in academia to emphasize nurture over nature—potentially influenced by ideological biases favoring environmental explanations—empirical data from diverse, large-scale twin registries consistently support these high genetic contributions.[33] [30] At the molecular level, genome-wide association studies (GWAS) have identified intelligence as highly polygenic, involving thousands of genetic variants with small individual effects rather than a few major genes.[37] Polygenic scores, which aggregate these variants' effects, currently predict 7-10% of IQ variance in European-descent populations, representing direct genetic evidence that aligns with but falls short of twin-study heritability due to limitations like incomplete genomic coverage and population-specific effects.[38] [39] Recent meta-analyses of polygenic scores from the largest GWAS datasets confirm their predictive validity for cognitive traits, with potential for higher accuracy as sample sizes grow and methods improve.[40] These findings underscore causal genetic influences on IQ, independent of environmental confounds, though shared environment explains more variance in early childhood before genetic effects dominate.[37] Ongoing research, including in non-European samples, aims to refine these estimates amid debates over generalizability, but the polygenic architecture remains robustly supported.[41]Major IQ Tests and Standardization
Wechsler Intelligence Scales
The Wechsler Intelligence Scales, developed by psychologist David Wechsler, represent a family of standardized tests designed to assess cognitive abilities across age groups, yielding deviation IQ scores with a mean of 100 and standard deviation of 15.[42] Wechsler introduced the Wechsler-Bellevue Intelligence Scale in 1939 as an adult measure, emphasizing a profile of verbal and performance abilities rather than a singular global score, which departed from earlier ratio-based IQ methods by incorporating age-normed deviation scoring.[43] This approach facilitated more precise classification of intellectual functioning, with full-scale IQ (FSIQ) scores typically ranging from 40 to 160, enabling differentiation of abilities from profound impairment to exceptional giftedness.[44] Subsequent revisions expanded the scales' applicability and refined subtest structures. The Wechsler Adult Intelligence Scale (WAIS) followed in 1955, with updates including the WAIS-R (1981) for refreshed norms, WAIS-III (1997) introducing four index scores (Verbal Comprehension, Perceptual Organization, Working Memory, Processing Speed), and WAIS-IV (2008) standardizing on 2,200 U.S. individuals aged 16-90 to enhance cultural fairness and predictive validity for real-world outcomes like academic and occupational success.[42] [45] Parallel child-focused scales include the Wechsler Intelligence Scale for Children (WISC), first published in 1949 for ages 5-15 and updated to WISC-V (2014) with 10 core subtests yielding five primary indices and FSIQ, and the Wechsler Preschool and Primary Scale of Intelligence (WPPSI), originating in 1967 for ages 2.5-7 and revised to WPPSI-IV (2012) with FSIQ ranges of 41-160.[46] [47] These scales classify IQ through composite scores: subtest scaled scores (mean 10, SD 3) aggregate into index scores (mean 100, SD 15), which combine for FSIQ, supporting diagnostic thresholds such as FSIQ below 70-75 for intellectual disability when paired with adaptive deficits.[48] In IQ classification, Wechsler scales prioritize empirical norming over theoretical constructs, with standardization samples stratified by age, sex, race/ethnicity, education, and geography to reflect population distributions.[45] High reliability (e.g., >0.95 for WAIS-IV FSIQ) and validity coefficients correlating 0.8+ with academic achievement underpin their use in categorizing ranges: 90-109 average, 110-119 high average, 120-129 superior, and 130+ very superior, though interpretations account for confidence intervals (typically ±5 points at 95%) and cultural loading in subtests.[42] [45] Critics note potential overemphasis on crystallized knowledge in verbal indices, which may disadvantage non-native speakers, yet longitudinal data affirm the scales' stability, with test-retest correlations exceeding 0.90 across versions.[49] Overall, Wechsler-derived classifications inform educational placements, clinical diagnoses, and research on cognitive hierarchies, emphasizing multifaceted profiles over unidimensional IQ.[50]Stanford-Binet Intelligence Scales
The Stanford-Binet Intelligence Scales originated from the 1905 Binet-Simon scale developed in France by Alfred Binet and Théodore Simon to identify children needing educational assistance.[4] In 1916, Lewis Terman at Stanford University revised and standardized it for American use, introducing the intelligence quotient (IQ) formula: IQ = (mental age / chronological age) × 100, which allowed classification based on ratio scores relative to age peers.[4] This version emphasized verbal tasks and was normed on California children, enabling early identifications of intellectual disability (IQ below 70-75) and high ability (IQ above 130).[4] Subsequent revisions addressed limitations in the ratio IQ, which became unreliable for adults and older children due to ceiling effects. The 1937 Form L-M revision extended the age range and improved item gradients.[51] By 1960, the test shifted to deviation IQ scores, derived from standardized norms with a mean of 100 and standard deviation of 16 initially, aligning classifications more stably across ages: for example, scores below 70 indicated significant impairment, while 120-140 denoted superior intelligence.[51] Further updates in 1972 and 1986 (SB-IV) refined norms and added nonverbal components to mitigate language biases.[52] The current fifth edition (SB5), published in 2003, assesses individuals aged 2 to 85+ years through 10 subtests measuring five cognitive factors: fluid reasoning, knowledge, quantitative reasoning, visual-spatial processing, and working memory, with both verbal and nonverbal formats.[53] It yields a Full Scale IQ (FSIQ), Verbal and Nonverbal IQs, and factor index scores, all standardized with mean 100 and SD 15, facilitating classifications such as average (90-109), gifted (130+), or intellectual disability (70-).[54] Normed on a stratified U.S. sample of over 4,800 participants, the SB5 supports diagnostic decisions in clinical and educational settings.[55] Reliability is high, with internal consistency coefficients exceeding 0.95 for FSIQ, and test-retest stability around 0.90, indicating consistent measurement of cognitive abilities.[56] Validity evidence includes correlations of 0.70-0.80 with other IQ tests like Wechsler scales and predictive utility for academic achievement, though scores may underestimate in populations with cultural or linguistic differences due to verbal emphasis in earlier versions—lessened in SB5 but persisting as a noted limitation.[57] [58] Critics, often from equity-focused perspectives, highlight historical misuse in eugenics-era policies and potential socioeconomic biases in norms, yet empirical data affirm its utility in capturing general intelligence (g) variance, with heritability-aligned predictions outperforming environmental-only models.[59] [60]Woodcock-Johnson Tests and Other Comprehensive Batteries
The Woodcock-Johnson Tests of Cognitive Abilities, first developed in 1977 by Richard Woodcock and Mary E. Bonner Johnson, form a comprehensive battery assessing a wide range of cognitive functions grounded in the Cattell-Horn-Carroll (CHC) theory of intelligence.[61] The latest edition, the Woodcock-Johnson IV (WJ IV), released in 2014, includes 18 subtests in its cognitive battery, measuring broad abilities such as comprehension-knowledge (Gc), fluid reasoning (Gf), short-term memory (Gsm), cognitive processing speed (Gs), auditory processing (Ga), long-term retrieval (Glr), and visual processing (Gv), alongside narrower skills.[62] The General Intellectual Ability (GIA) score, serving as the primary indicator of overall intellectual functioning akin to a full-scale IQ, is derived from seven core subtests including Oral Vocabulary, Number Series, Verbal Attention, Letter-Pattern Matching, Phonological Processing, Story Recall, and Visualization.[63] Standard scores on the WJ IV are normed with a mean of 100 and a standard deviation of 15, enabling classification into descriptive ranges that align with empirical distributions of cognitive ability.[64] These include Very Superior (131 and above, corresponding to the 98th to 99.9th percentile), Superior (121-130, 92nd to 97th percentile), High Average (111-120), Average (90-110), Low Average (80-89), Low (70-79), and Very Low (69 and below). The battery's extended norms and Rasch-derived W scores allow for precise measurement across ages 2 to 90+, facilitating comparisons of relative strengths and weaknesses in cognitive profiles for diagnostic and educational purposes.[64] Other comprehensive batteries, such as the Differential Ability Scales-Second Edition (DAS-II), provide multidimensional assessments of intellectual functioning with a General Conceptual Ability (GCA) score analogous to IQ, comprising verbal, nonverbal, and spatial clusters normed to mean 100 and SD 15, suitable for ages 2:6 to 17:11.[65] The Kaufman Assessment Battery for Children-Second Edition (KABC-II) emphasizes processing-dependent abilities through sequential and simultaneous scales, yielding a Fluid-Crystallized Index (FCI) as its global measure, with norms enabling similar percentile-based classifications for children and adolescents up to age 18.[66] The Reynolds Intellectual Assessment Scales-Second Edition (RIAS-2) offers a streamlined yet comprehensive evaluation with Composite Intelligence Index (CIX) scores, incorporating verbal and nonverbal components for rapid screening across ages 3 to 94, also using standard scores for ability range delineation.[67] These instruments collectively extend beyond unidimensional IQ estimates by quantifying hierarchical cognitive factors, supporting nuanced classifications in clinical and research contexts.Classification Systems and Ranges
Standard Deviation-Based Ranges and Labels
Modern IQ tests, such as the Wechsler scales, are standardized on representative samples to yield a mean score of 100 with a standard deviation (SD) of 15 points, assuming a normal (Gaussian) distribution.[68][2] This normalization allows scores to be interpreted relative to the population via standard deviations from the mean, facilitating consistent classification across tests despite variations in content or norms.[69] Under this framework, approximately 68% of scores fall within one SD of the mean (IQ 85–115), 95% within two SDs (IQ 70–130), and 99.7% within three SDs (IQ 55–145), reflecting the empirical rule for normal distributions.[68][70] These bands delineate broad population strata: scores two or more SDs below the mean (IQ ≤70) indicate rarity in cognitive ability, often overlapping with clinical thresholds for intellectual disability when paired with adaptive functioning deficits, while scores two or more SDs above (IQ ≥130) denote exceptional ability.[69][2] Common labels derive from these SD intervals, as codified in Wechsler test manuals and adopted widely in psychological assessment. The following table summarizes standard classifications for full-scale IQ scores on scales like the WAIS-IV and WISC-V:| IQ Range | SD from Mean | Classification | Approximate Percentile |
|---|---|---|---|
| 130+ | +2 or more | Very Superior | 98+ |
| 120–129 | +1.33 to +2 | Superior | 91–97 |
| 110–119 | +0.67 to +1.33 | High Average | 75–90 |
| 90–109 | -0.67 to +0.67 | Average | 25–75 |
| 80–89 | -1.33 to -0.67 | Low Average | 9–24 |
| 70–79 | -2 to -1.33 | Borderline | 3–8 |
| <70 | -2 or more | Extremely Low | <3 |
Test-Specific Variations and Norms
The norms for IQ tests are established through standardization processes involving large, representative samples to define age-specific performance benchmarks, enabling the derivation of deviation IQ scores with a mean of 100 and standard deviation of 15 across most modern instruments.[72] However, test-specific differences in sample composition, stratification criteria, and computational methods for composite scores introduce variations that can affect individual classifications, even when group-level correlations between tests exceed 0.80.[73] These discrepancies arise because norms reflect the unique test content, subtest weighting, and demographic matching of the standardization cohort, precluding direct score equivalency without validated conversion tables or empirical bridging studies.[73] The Wechsler scales, including the Wechsler Adult Intelligence Scale-Fourth Edition (WAIS-IV) and Wechsler Intelligence Scale for Children-Fifth Edition (WISC-V), utilize stratified norming samples approximating U.S. Census demographics, incorporating variables such as age, sex, race/ethnicity, parental education, and geographic region to minimize bias.[74] The WISC-V, for example, draws from a sample exceeding 2,000 children aged 6 to 16, yielding full-scale IQ (FSIQ) scores that integrate verbal comprehension, perceptual reasoning, working memory, and processing speed indices, with norms updated periodically to address secular score inflation via the Flynn effect.[75] This structure supports classifications like "superior" (FSIQ 120-129) but may yield higher overall scores compared to other batteries due to broader subtest coverage and verbal emphasis, influencing borderline cases near classification thresholds.[76] In contrast, the Stanford-Binet Intelligence Scales-Fifth Edition (SB5) employs a norming sample of approximately 4,800 participants spanning ages 2 to over 85, stratified similarly but emphasizing five factor areas: fluid reasoning, knowledge, quantitative reasoning, visual-spatial processing, and working memory.[54] Its FSIQ computation aggregates verbal and nonverbal domain scores, potentially resulting in lower composites than Wechsler equivalents—empirical comparisons show WAIS FSIQ exceeding SB5 by an average of 16.7 points in clinical samples—altering classifications for high-ability or low-functioning individuals.[76] Historical iterations of the Stanford-Binet used ratio IQ methods with varying standard deviations (approaching 16), but modern editions align to deviation scoring, though residual differences in nonverbal weighting can shift norms for diverse populations.[77] The Woodcock-Johnson IV Tests of Cognitive Abilities (WJ IV COG) features extended norms derived from over 7,400 individuals aged 2 to 90+, co-normed with achievement measures to facilitate discrepancy analyses under models like Cattell-Horn-Carroll (CHC) theory.[78] This battery's 14 subtests yield cluster scores for broad abilities (e.g., comprehension-knowledge, fluid reasoning), with FSIQ equivalents standardized to 100/15 but offering percentile extensions beyond typical ranges for precise gifted or impaired classifications.[79] Unlike Wechsler or SB5, WJ IV norms incorporate post-pandemic adjustments in recent updates, reflecting environmental impacts on cognitive performance, which may elevate scores in contemporary samples relative to older standardizations.[80] Such test-specific norming ensures tailored validity but underscores the need for profession-specific selection in diagnostic contexts, as inter-test score variances can exceed one standard deviation in 28-36% of cases when accounting for confidence intervals.[73]Classifications of Low IQ
Diagnostic Criteria for Intellectual Disability
Intellectual disability, also known as intellectual developmental disorder, is diagnosed based on three core criteria across major classification systems: significant limitations in intellectual functioning, concurrent deficits in adaptive behavior, and onset during the developmental period prior to age 18 or 22 depending on the framework.[81][82] Intellectual functioning is typically assessed via standardized IQ tests, with scores approximately two standard deviations below the population mean—around 70 or below—indicating significant impairment, though clinical judgment allows flexibility beyond strict numerical cutoffs to account for test limitations and cultural factors.[83][81] Adaptive behavior encompasses conceptual skills (e.g., language, reading, money concepts), social skills (e.g., interpersonal interactions, leisure), and practical skills (e.g., self-care, occupational tasks), requiring deficits in at least two of these domains as measured by standardized instruments like the Vineland Adaptive Behavior Scales, also approximately two standard deviations below the mean.[84][85] The DSM-5, published by the American Psychiatric Association in 2013, specifies deficits in intellectual functions such as reasoning, problem-solving, planning, abstract thinking, judgment, academic learning, and learning from experience, corroborated by both clinical evaluation and IQ testing.[83] It emphasizes that while IQ scores of 70–75 serve as a guideline, diagnosis should not hinge solely on them, prioritizing the severity of adaptive functioning impairments to classify levels as mild, moderate, severe, or profound.[82][86] Similarly, the American Association on Intellectual and Developmental Disabilities (AAIDD) in its 2010 definition (reaffirmed in later editions) requires IQ scores around 70–75 alongside adaptive limitations originating before age 18, with supports intensity guiding intervention rather than rigid IQ bands.[81][87] In the ICD-11, effective from 2022 by the World Health Organization, intellectual developmental disorders involve marked impairments in core cognitive functions and adaptive behaviors emerging during development, with IQ serving as a proxy rather than a standalone criterion; severity levels align roughly with IQ ranges such as mild (50–69), moderate (35–49), severe (20–34), and profound (below 20).[88][89] Historical thresholds have evolved, with pre-1973 definitions sometimes using higher IQ cutoffs up to 85 before standardization settled around 70–75 to reflect empirical distributions and reduce over-diagnosis.[90][91] These criteria integrate IQ as a quantifiable measure of cognitive capacity, validated through longitudinal studies showing its predictive validity for real-world functioning, though adaptive assessments address cases where IQ alone underestimates disability due to environmental or comorbid factors.[85] Diagnosis requires comprehensive evaluation by qualified professionals, often involving multiple informants and repeated testing to confirm stability.[92]Historical and Evolving Thresholds
Early classifications of intellectual impairment predated modern IQ testing and relied on mental age equivalents from the Binet-Simon scale, introduced in 1905, where "idiocy" corresponded to mental ages below 2 years (approximating IQs under 25), "imbecility" to 3-7 years (IQs 25-50), and "moronity" to 8-12 years (IQs 50-70).[93] These terms, adapted by Lewis Terman in the 1916 Stanford-Binet revision, formalized low IQ thresholds based on ratio IQ (mental age divided by chronological age times 100), with overall mental retardation encompassing IQs below 70.[93] By the mid-20th century, the American Association on Mental Deficiency (AAMD, predecessor to AAIDD) in its 1959 manual defined mental retardation as IQs approximately one standard deviation below the mean (below 85), incorporating a broader "mild" category that included many with IQs 70-84 alongside adaptive deficits.[90] This threshold reflected deviation IQ norms from scales like Wechsler (1939 onward), where standard deviation equaled 15 points, positioning 85 as -1 SD. Sublevels included mild (IQ 50-85, adjusted over time), moderate (35-50), severe (20-35), and profound (below 20).[94] In 1973, the AAMD revised its manual, lowering the IQ cutoff to two standard deviations below the mean (approximately 70) to align with empirical evidence of significant impairment prevalence and exclude borderline cases, a change critics attributed partly to deinstitutionalization pressures that "cured" millions via redefinition rather than intervention.[95][93] Subsequent updates introduced flexibility: the 1992 AAMR definition allowed clinical judgment for IQs 70-75, accounting for test measurement error (typically ±5 points), while retaining adaptive behavior as co-requisite.[96] Modern criteria, as in the AAIDD's 2010 manual and DSM-5 (2013), maintain an approximate IQ threshold of 70-75 but de-emphasize rigid cutoffs, prioritizing comprehensive assessment of intellectual functioning two or more SD below norms alongside adaptive deficits manifesting before age 18; DSM-5 explicitly avoids fixed scores to incorporate contextual factors like cultural norms and test reliability.[81][85] This evolution reflects growing recognition that IQ alone underpredicts real-world impairment without adaptive criteria, though empirical data continue to correlate IQ below 70 with high dependency rates across populations.[91]Classifications of High IQ
Criteria for Giftedness and High Ability
Giftedness is psychometrically defined as an IQ score of 130 or higher on standardized tests with a mean of 100 and standard deviation of 15, placing individuals in approximately the top 2 percent of the population.[97][98] This threshold corresponds to two standard deviations above the mean and is widely used in educational and psychological classifications for identifying superior cognitive ability.[99] On Wechsler scales such as the WISC or WPPSI, this equates to the 98th percentile or above, while the Stanford-Binet requires scores around 132 or higher due to slight norm differences.[98] Historically, Lewis Terman established early criteria in the 1920s through his longitudinal study of high-IQ children, selecting participants with IQs of 135 or above on the Stanford-Binet, representing roughly the top 1 percent.[100] Terman's approach emphasized general intellectual ability as measured by IQ, countering prior views that equated high intelligence with eccentricity or maladjustment, and his work influenced modern thresholds by linking giftedness to empirical selection from the upper tail of the distribution.[101] High ability is often distinguished by even rarer scores, such as 145 or above (top 0.1 percent, or three standard deviations), termed "highly gifted," though some classifications extend "gifted" to moderately high ranges like 115-129 for advanced learners without full gifted criteria.[102][103] Extreme theoretical scores, such as an IQ of 200, correspond to approximately 6.67 standard deviations above the mean, illustrating the exponential rarity beyond thresholds like 130 (2 SD) or 145 (3 SD). These IQ-based cutoffs prioritize predictive validity for academic and professional achievement over multifaceted models that incorporate creativity or motivation, as pure cognitive thresholds better align with g-factor correlations observed in factor analysis.[104] While educational programs may supplement IQ with achievement tests or teacher observations to mitigate test-specific variances, IQ remains the core quantitative criterion due to its high reliability (test-retest coefficients exceeding 0.90) and heritability estimates around 0.80 in adulthood.[99]Concepts of Genius and Exceptional Performance
Francis Galton, in his 1869 book Hereditary Genius, conceptualized genius as an extreme manifestation of natural ability, primarily hereditary, demonstrated through eminence in fields like science, literature, and leadership.[105] He analyzed biographical data from eminent families, estimating that true genius occurred rarely, with rates approximating 1 in 4,000 individuals, and emphasized its clustering in lineages suggesting genetic transmission over environmental factors alone.[106] Lewis Terman, building on Galton's ideas, launched the Genetic Studies of Genius in 1921, tracking 1,528 children with IQ scores above 135 on the Stanford-Binet scale, expecting them to exhibit prodigious adult achievements.[101] However, longitudinal follow-ups revealed that while the group outperformed averages in education, income, and health— with average IQ around 150—few achieved world-class eminence, such as Nobel Prizes, with Terman noting that genius proper required IQs exceeding 180, a threshold met by only a handful in his sample.[107][108] This underscored a threshold hypothesis: high IQ (typically above 130-140) enables exceptional performance but does not guarantee it, as creativity, motivation, and opportunity play causal roles.[109] In psychometric classifications, "genius" labels often apply to IQs above 140 or 160, depending on the scale, with scores over 180 deemed profoundly gifted.[2] Retrospective estimates of historical figures' IQs, such as Isaac Newton's at 190-200 or Albert Einstein's at 160-190, align with this, derived from biographical analyses like Catharine Cox's in Terman's study, though such imputations rely on incomplete data and assume modern IQ constructs retroactively.[110] Empirical correlations support IQ's necessity for elite achievement: meta-analyses indicate IQ predicts scientific output and innovation, with eminent scientists averaging estimated IQs of 150-170, but variance increases at extremes, where non-cognitive traits differentiate performers.[111] Exceptional performance thus integrates IQ as a foundational cognitive enabler—facilitating rapid learning and problem-solving—with domain-specific expertise and perseverance, as evidenced by Terman's "Termites" attaining leadership roles but rarely revolutionary breakthroughs.[112] Low base rates of genius (e.g., Nobel winners at ~1 in millions) amplify selection challenges, explaining why even high-IQ cohorts underperform expectations in raw output of immortals.[109] Causal realism attributes this to IQ's g-factor loading on abstract reasoning, essential yet insufficient without applied effort, countering overemphasis on environment in biased academic narratives that downplay heritability.[113]Empirical Validity and Predictive Power
Correlations with Life Outcomes
Intelligence quotient (IQ) scores exhibit robust positive correlations with multiple domains of life outcomes, including educational attainment, occupational success, income, health, and longevity, while showing negative associations with criminality and adverse behaviors. Meta-analytic evidence indicates that a one standard deviation increase in IQ (approximately 15 points) predicts substantial variance in these outcomes, often outperforming socioeconomic background as a predictor after controlling for parental status.[114] These patterns hold across longitudinal studies spanning decades and diverse populations, underscoring IQ's predictive validity beyond environmental confounds.[115] In education, higher IQ strongly forecasts years of schooling completed and academic performance. Longitudinal data reveal correlations between childhood IQ and adult educational attainment ranging from 0.5 to 0.7, with higher scores enabling persistence through advanced degrees.[116] For instance, individuals with IQs above 120 are disproportionately represented among college graduates, while those below 85 rarely complete secondary education.[117] Although education can modestly raise IQ (1-5 points per additional year), the primary directionality flows from innate cognitive ability to attainment, as evidenced by twin studies disentangling genetic from shared environmental effects.[118] Occupational attainment and job performance likewise correlate positively with IQ, with meta-analyses reporting validity coefficients of 0.5-0.6 for general cognitive ability in predicting supervisor-rated performance across complex roles.[119] Higher IQ facilitates mastery of cognitively demanding tasks, explaining why professionals in fields like engineering or medicine average IQs of 120-130.[7] Income trajectories mirror this, with mid-career correlations around 0.4; a standard deviation IQ advantage yields roughly 10-20% higher earnings, plateauing at upper income levels due to non-cognitive factors.[115][120] Health outcomes and longevity benefit from elevated IQ, as higher scores predict lower incidence of chronic diseases and extended lifespan. A one standard deviation IQ increment associates with a 24% reduction in all-cause mortality risk, mediated partly by healthier behaviors and better medical decision-making.[121] Meta-analyses confirm lower IQ as a risk factor for conditions like schizophrenia, depression, diabetes, and dementia, with hazard ratios indicating 20-30% elevated odds per standard deviation decrement.[122] This link persists into late adulthood, where intelligence in youth correlates with survival advantages of several years.[123] Conversely, low IQ correlates negatively with criminal involvement, with coefficients around -0.2 across offenses. Population-level data show states with higher average IQs exhibit lower rates of violent and property crimes, while individual studies link IQs below 90 to elevated perpetration risks, including violence.[124][125] This association withstands controls for socioeconomic status, suggesting cognitive deficits impair impulse control and foresight in rule-breaking scenarios.[126]| Outcome Domain | Approximate Correlation (r) with IQ | Key Predictor Strength |
|---|---|---|
| Educational Attainment | 0.5-0.7 | High; explains ~25-50% variance[116] |
| Job Performance | 0.5-0.6 | Moderate-high; strongest for complex jobs[119] |
| Income | 0.4 | Moderate; cumulative over career[115] |
| Longevity/Mortality Risk | -0.2 to -0.3 (inverse) | Moderate; 24% risk reduction per SD[121] |
| Criminality | -0.2 | Moderate; consistent across offense types[125] |
Reliability Across Populations and Contexts
IQ tests exhibit high internal consistency and test-retest reliability across diverse populations, with coefficients typically ranging from 0.90 to 0.95 for major instruments like the Wechsler Adult Intelligence Scale.[127] This stability holds in samples varying by socioeconomic status (SES), where retest correlations remain robust despite environmental differences, as evidenced by meta-analytic reviews of longitudinal data showing consistent score variance over time.[128] Such reliability metrics indicate that measurement error does not systematically inflate across SES strata, allowing for comparable classification of cognitive ability levels. The general factor of intelligence, g, demonstrates invariance in factor structure across cultural and ethnic groups, emerging as the dominant common variance in batteries of diverse cognitive tasks worldwide.[129] Cross-cultural factor analyses, including those in non-Western populations, consistently extract a large g component alongside primary mental abilities, underscoring the test's capacity to measure a core, biologically grounded construct rather than culture-specific knowledge.[130] In racial comparisons, such as between White, Black, Asian, and Hispanic samples, strong measurement invariance is often tenable for IQ batteries when evaluating item response and factor loadings, though partial scalar invariance may require adjustments for mean differences.[131] Predictive reliability extends to life outcomes across contexts, with IQ correlations to educational attainment, job performance, and income holding similarly for majority and minority groups, including within lower-SES environments where environmental confounds are pronounced.[132] For example, g-loaded tests maintain equivalent validity coefficients (around 0.5-0.6 for occupational success) irrespective of racial or cultural background, countering claims of differential unreliability by demonstrating causal consistency in forecasting real-world criteria.[129] Culturally adapted versions of tests, such as Raven's Progressive Matrices, further affirm this by yielding reliable scores in non-industrialized settings, though persistent group mean disparities highlight that reliability does not preclude substantive differences in underlying ability distributions.[133] Mainstream critiques of cultural bias often overlook these psychometric invariants, which empirical factor analytic evidence prioritizes over anecdotal fairness concerns.Controversies and Debates
Claims of Cultural Bias and Counter-Evidence
Critics have long asserted that IQ tests exhibit cultural bias by incorporating items reliant on Western educational experiences, language familiarity, and socioeconomic norms, thereby disadvantaging non-Western or minority groups and inflating score disparities unrelated to innate cognitive ability.[134] For instance, vocabulary or analogy questions may presuppose exposure to specific cultural knowledge, leading to claims that such tests measure acculturation rather than intelligence.[135] These arguments, prominent in mid-20th-century critiques, posit that equalizing cultural exposure would eliminate group differences.[136] Counter-evidence challenges this view by demonstrating that culture-reduced tests, such as Raven's Progressive Matrices (RPM), which rely on abstract visual pattern recognition without verbal or cultural content, yield similar group score patterns and high correlations (r ≈ 0.7–0.8) with full-scale IQ measures.[137] [138] RPM's cross-cultural validity has been affirmed in diverse populations, including non-Western samples, where it predicts educational and occupational outcomes comparably to verbal tests, indicating measurement of a culture-transcendent general factor (g). [139] Transracial adoption studies provide further rebuttal, as black children reared from infancy in affluent white families—minimizing cultural deprivation—still averaged IQs of 89 at age 17, compared to 106 for white adoptees and 99 for biological white children of adoptive parents in the Minnesota Transracial Adoption Study (1976–1992 follow-up).[140] [141] This persisted despite equivalent socioeconomic environments, with no convergence in scores over time, contradicting pure cultural bias explanations.[142] Empirical tests of bias, including item response analysis and predictive validity across ethnic groups, reveal minimal differential item functioning in modern IQ batteries, where score differences align with real-world criteria like academic achievement and job performance regardless of cultural background.[143] [133] Internationally, IQ correlates strongly (r > 0.6) with national outcomes such as GDP per capita and innovation rates, even after controlling for cultural variables, underscoring tests' validity beyond Western contexts.[144] While some item-level biases exist, they do not undermine the overall g-loading or utility of IQ as a predictor, as evidenced by consistent heritability estimates (0.5–0.8) in diverse samples.[145]Group Differences: Racial, Ethnic, and Sex-Based
Studies of IQ test performance reveal consistent average differences between sexes, with males and females exhibiting mean scores of approximately 100 on standardized scales such as the Wechsler Adult Intelligence Scale (WAIS).[146] No significant overall mean disparity exists, though males demonstrate greater variability, resulting in disproportionate representation at both high and low extremes of the distribution.[146] This pattern holds in large-scale samples, including Scottish population surveys of children, where male IQ distributions showed wider spreads even above modal levels around 105.[146] Greater male variance aligns with observed sex ratios in intellectual achievements and disabilities, such as higher male prevalence among Nobel laureates and individuals with intellectual impairment.[146] Racial and ethnic group differences in average IQ scores are well-documented in meta-analyses of standardized tests. In the United States, East Asians average 105-106, Whites 100, Hispanics 90, and Blacks 85, corresponding to gaps of about 0.3-0.7 standard deviations (SD) for Asians and Hispanics relative to Whites, and 1 SD (15 points) for Blacks.[147][148] These patterns persist across cognitive batteries like the WAIS-IV (Black-White gap 14.5 points) and WISC-V (11.6-14.5 points), with minimal closure over decades despite socioeconomic controls reducing gaps by only 3-5 points.[147][148]| Racial/Ethnic Group | Average IQ (US Norms) |
|---|---|
| East Asians | 105-106 |
| Whites | 100 |
| Hispanics | 90 |
| Blacks | 85 |
