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Intelligence

Psychology (BA/B.Sc) · Foundations · free study notes for exams, placements and interviews

In short

Intelligence is the global capacity to learn, reason abstractly, adapt to new situations and solve problems effectively. Psychology studies it through theories of its structure (one general ability, several factors, or many independent intelligences) and through psychometric tests that yield an IQ. It is examined in every BA/B.Sc Foundations paper, in UGC-NET Psychology (Psychology is a UGC-NET subject, not a CSIR-NET one), UPSC Psychology optional and M.Phil Clinical Psychology entrances (NIMHANS, RCI-recognised institutes). Applied in India in clinical diagnosis and disability certification under the RPwD Act, 2016, in special education, in school guidance, and in recruitment aptitude testing (TCS NQT, AMCAT, CoCubes, eLitmus, Mettl, SHL), where reasoning tests are essentially group intelligence tests.

Explained

What intelligence is - definitions and the nature of the construct

Theories of structure

Measurement - from Binet to current Indian tests

Distribution, extremes and classification

Determinants - heredity and environment

Strengths and limitations of IQ testing

Key points

Formulas and examples

Ratio IQ = (MA / CA) × 100 - MA = mental age, CA = chronological age (same units, usually months)
z = (X − M) / SD - X = raw score, M = norm-group mean, SD = norm-group standard deviation
Deviation IQ = 100 + 15z (Wechsler-type scales); = 100 + 16z for the classical Stanford-Binet
Social Quotient (SQ) = (Social Age / CA) × 100 - from the Vineland Social Maturity Scale
SEM = SD × √(1 − r) - SEM = standard error of measurement, r = reliability coefficient
95% confidence interval for a true score ≈ obtained IQ ± 1.96 × SEM
h² (Falconer) = 2 × (r_MZ − r_DZ) - r = intra-pair correlation for monozygotic and dizygotic twins
Spearman-Brown: r_full = 2r_half / (1 + r_half) - split-half reliability corrected for test length

Example 1 - Ratio IQ and its breakdown. A child aged 10 years 0 months scores at the level of an average 12-year-old.

Example 2 - Deviation IQ and percentile. On a subtest with norm mean M = 52 and SD = 8, a candidate scores X = 68.

Example 3 - Confidence band around an IQ. A WISC-type FSIQ of 112 from a test with SD = 15 and reliability r = 0.95.

Example 4 - Heritability from twin data. In a sample, r_MZ(together) = 0.86 and r_DZ(together) = 0.59.

Example 5 - Flynn-effect correction and social quotient. A child is tested in 2026 on a scale last standardised in 1996, and obtains IQ 104; the same child's Vineland social age is 7 years 6 months at CA 10 years.

TheoryStructure claimedKey evidence/toolMain criticism
Spearman two-factorg + sPositive manifold, tetrad differencesToo simple; ignores group factors
Thurstone PMA7 independent abilitiesRotated factor analysis, PMA testThe abilities still correlate (g reappears)
Guilford SOI120-180 cellsDivergent-thinking testsUnwieldy; weak empirical support
Cattell-Horn-Carrollg → broad → narrowWISC-V, Woodcock-JohnsonComplex; little practical gain over FSIQ
Sternberg triarchic3 intelligencesPractical/tacit-knowledge testsHard to measure reliably
Gardner MI8-9 intelligencesCase studies, savants, lesionsNot factorially independent; "talents"
ScaleTypeAge rangeMean/SDNote
Stanford-Binet (classical)Individual, verbal-heavy2-adult100/16MA-based origin
WAIS-IV / WISC-VIndividual, index-based16+/6-16100/15FSIQ + 5 indices
Raven's SPMGroup, non-verbal6-adultPercentile/std scoreCulture-fair measure of Gf
Bhatia's BatteryIndividual, performance11-16 (Indian norms)IQUsable with illiterate testees
MISICIndividual, verbal + performance6-15100/15Indian adaptation of WISC
VSMSInformant interview0-15SQAdaptive behaviour, not IQ

Where it is used

Interview questions

Common mistakes

Related topics

Learning · Memory · Personality theories · Motivation and emotion · Schools of psychology · Psychological testing, statistics and research methods

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