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Abilities related to intelligence
Reasoning
Planning
Solving problems
Thinking abstractly
Comprehending complex ideas
Learning quickly
Learning from experience
Can intelligence be taught?
It is not:
Book learning; a narrow academic skill; or test‑taking smarts.
It reflects a broader and deeper capability for comprehending our surrounding
‘Catching on’
‘Making sense’ of things
‘Figuring out’ what to do.
Francis Galton
Made the first attempt at creating a standardised test for rating a person's intelligence
Created the statistical concept of correlation
First to apply this to the study of human differences and the inheritance of intelligence.
Galton’s main theories
Intelligence should correlate with observable traits such as reflexes, muscle grip, and head size.
“Hereditary” Genius (1869)
How genius clusters in families > count eminent relatives of eminent men
“The history of twins” (1875)
Better to study the similarity between twins reared in either similar or dissimilar environments > than the nature/nurture debate.
Galton (1883) - Eugenics
Concerned with “race betterment” and conscious efforts to “improve the race”.
State involvement.
First, by encouraging healthy, capable people of above-average intelligence to bear more children (so-called ‘positive eugenics’).
Later, it aimed at removing the related genes from the population
Policies included involuntary sterilisation or institutionalisation (so-called ‘negative eugenics’).
Policies specifically targeted minority women, immigrants, the physically and mentally ill, and the poor.
Buck v. Bell
US Supreme Court
A woman was alleged to be “feebleminded” and promiscuous, following her rape and the birth of a child.
Legitimised eugenic sterilisation laws across the U.S. led to the sterilisation of tens of thousands of individuals.
Has never been explicitly overturned, though later cases like Skinner v. Oklahoma (1942) limited its application.
Widely condemned today as a violation of human rights and an example of the dangers of pseudoscience influencing law.
Factor Analysis of Intelligence - Spearman
Charles Spearman
Noticed that there were positive correlations between students’ performance in lots of very different subjects
He compared scholastic performance with the ability to discriminate weights and pressures
Found that these correlated as well
What is a factor analysis (FA)?
A method of dimension reduction
Seeks to identify underlying unobservable variables (i.e. latent variables) that are reflected in the observed variables.
You are looking for a simple structure.
The starting point is a correlation matrix (i.e. the intercorrelations between the observed variables).
Factor Analysis & Intelligence
Vast array of different tasks with some element of cognitive difficulty
Exhibit a manifold of positive correlations.
Posited that a latent factor exists that explains these correlations.
Spearman’s analysis confirmed this, and this latent factor is known as g (or Spearman’s g).
Spearman’s g
IQ (intelligence quotient)
General intelligence
General cognitive and mental ability
g factor (g = general)
G factor and IQ tests
The g factor typically accounts for ~50 per cent of the variance in IQ test performance
IQ scores are typically regarded as estimates of individuals' g factor
Alfred Binet (1857-1911)
Physician. France – Universal Elementary Education
Sought to find an objective way to identify children who needed additional help
Constructed the Simon-Binet Intelligence Scale (with Theodore Simon)
Mental vs Chronological Age
Important Realisations from Binet
Recognised limitations of Intelligence Scales
Importantly, he believed that measures of intelligence were not always generalisable
Could only apply to children with similar backgrounds and experiences
The WAIS (Wechsler Adult Intelligence Test)
A modern intelligence test battery
15 different tests
WAIS - Matrix reasoning task
Measures nonverbal abstract problem-solving ability
Shown a series of pictures
For each picture, there is an aspect missing
Choose missing part from five choices
WAIS - Block Design Test (Kohs, 1920)
Measures spatial visualisation and constructional skills
Shown a two-dimensional geometric pattern.
Given a set of red and white blocks (typically with solid or diagonally divided colours).
They must reproduce the pattern using the blocks within a time limit.
WAIS - Figure Weights
Measure of quantitative and analogical reasoning
Scale or balance with shapes or weights on one or both sides.
One side of the scale may be missing a piece or have a question mark (? symbol).
Choose the missing weight from multiple-choice options
Shapes have implied weights or values, deduce them based on balance logic
WAIS - Digit Span Backward Test
Measures Working memory, Attention and Cognitive Flexibility
Psychologist reads series of numbers
Examinee replies with numbers in reverse
WAIS - Letter-number sequencing
Measures Working memory, Attention and Cognitive Flexibility
Psychologist reads series of numbers and letters
Examinee replies with numbers and letters in reverse
WAIS - Coding test - Deary (2020)
A.k.a Digit Symbol Substitution Test (DSST)
Measures processing speed, visual-motor coordination, and attention to detail
Refer to the key
Find the matching symbol
Write it in the correct place — quickly and accurately.
WAIS - Vocabulary test
Measures verbal knowledge and expressive language abilities
Define the word as precisely as possible in your own word
Starts simple and gets more advanced/abstract
WAIS - Similarities Test
Measures abstract verbal reasoning and comprehension
Describe what two words have in common, not how they are different.
Starts simple and gets more advanced/abstract
The WAIS-IV - Development and Marketing
The Psychological Corporation
2200 people tested in the USA for the WAIS-IV
Aged 16 to 90
Ethnic, sex and regional mix reflective of US population
Good spread of educational backgrounds
Every person sat the 15 tests that make up the WAIS-IV
Evaluation of the WAIS
Observed substantial correlations between scores on…
…all of the tasks
105 correlations, all significant, lowest 0.21 and highest 0.74.
The average of the correlations was 0.45
Full-scale IQ, our best estimate of g, is a weighted average of all of them
Standardisation of IQ scores
Have a Mean of 100
Standard Deviation of 15.
Normal distribution
WAIS-IV IQ Levels and Rank
130 → Very Superior → 98-99.9 percentile
90-109 → Average → 25-73 percentile
69 and below → Intellectual disability → .01-2 percentile
Statistical Associations Amongst the Individual Tests
Three-level hierarchy of mental ability test scores (WAIS-IV)
Optimal way of presenting associations
Level III of Three-level hierarchy (WAIS-IV)
General intelligence (g)
Level II of Three-level hierarchy (WAIS-IV)
Cognitive domains
Verbal comprehension
Perceptual reasoning
Working memory
Processing speed
Level I of Three-level hierarchy (WAIS-IV)
Individual cognitive traits (15 tests)
Individual Level/Specific factors
The combination of general ability (Level 3, g) and group factor (Level 2, Cognitive Domain) is not enough to account for how well people perform on the individual tests.
There seems to be very specific ability (s) (Level 1, Individual Test) needed to do well on each test
Something that is not shared with any other test even where the material in the test is quite similar to that in other tests.
Hierarchical Structure
This hierarchical structure has been known for over a century
It means that talking about a single general intelligence is supported to some extent
This finding has been replicated in hundreds of dataset
Salthouse (2004) - Method
The Hierarchical Structure of Intelligence
33 studies;
n = approximately 7000;
age range 18-95 years
16 cognitive tests – coalesce into five factors (broad domains)
All five factors/domains have high associations with g
Salthouse (2004) - Findings
LEVEL 3: Approx 50% variance among this group of participants could be attributed to a general mental ability required for all the tests
Spearman’s g (i.e. the shared variance across sets of intercorrelating cognitive tasks)
General Intelligence
General Cognitive Ability
LEVEL 2: Narrower types of mental ability that relate to the specific type of mental work
LEVEL 1: Specific ability to do well on a specific task
Warne & Burningham (2019)
Spearman’s g is robustly observed in Western populations
Spearman’s g as an cross-cultural phenomenon?
Used exploratory factor analysis to analyse 97 samples from 31 non-Western, non-industrialised nations (totalling 52,340 individuals).
Found that a single factor emerged unambiguously from the majority of the samples.
The first factor explained an average of 45.9% of observed variable variance, which is similar to what is seen in Western samples.
Spearman’s g is likely a universal phenomenon in humans.
Arden & Adams (2015)
Dogs exhibit a general intelligence factor that influences performance in various cognitive tasks
68 Border Collies were selected to minimise variability due to breed and environmental factors
Three-factor Hierarchy Model accounted for 68% of the variance in task performance
17% of the variance with the general intelligence factor alone