Methods
Sample
We leveraged data from the Twins Early Development Study (TEDS), a
longitudinal cohort of 13,759 families with twins born between 1994 and 1996 in
England and Wales (Lockhart et al., 2023b). Phenotypic data were collected across
multiple waves, including assessments at approximately ages 2, 3, 4, 7, 8, 9, 10, 12,
14, 16, 18, 21, 25, and 26 years. Genotypic data were available for 10,346
participants. Ethical approval for TEDS was obtained from King’s College London
Research Ethics Committee (References: PNM/09/10–104 and HR/DP-20/2122060),
and informed consent was obtained prior to each wave of data collection.
For cross-sectional analyses, all participants with available DNA data and at
least one phenotypic measure were included. To calculate a total score for a given
measure, participants were required to have completed at least half of the scale. For
measures composed of multiple subscales, the same rule applied to each subscale,
and a participant was included only if at least half of the subscales were available.
For longitudinal analyses, we included participants with data available for at
least two ages (N = ~4500 to ~8000).
Measures
Phenotypic Measures
The present study focuses on outcomes selected for their consistent
collection across the ages. From ages 2 to 26, we assessed cognitive abilities,
educational achievement, behaviour problems, and anthropometric measures
consistently using age-appropriate measures. Additional measures specific to one
age or one developmental stage are provided in Appendix A. Complete
documentation of all measures across ages is available in the TEDS data dictionary
(https://datadictionary.teds.ac.uk/home.htm).
Early Cognitive Abilities (Ages 2-4). Phenotypic measures at early ages
were collected via booklets sent to families. At ages 2 and 3, booklets were sent only
to families of twins born in 1994 and 1995, as twins born in 1996 were not age-
appropriate for the tests. At age 4, booklets were sent to all families.
Verbal ability at ages 2 to 4 included vocabulary (what children can say) and
grammar (how children use words). Vocabulary was assessed via parent-reported
checklists. At age 2, parents completed a 100-word checklist adapted from the
MacArthur Communicative Development Index (MCDI; Fenson et al., 1993, 2000). At
age 3, the checklist included 45 MCDI words and 55 new words from a literature
review and pilot testing with an additional two questions about whether the child was
talking and combining words. At age 4, 48 words selected from the literature review
and pilot testing were used. Grammar was also measured using questions derived
from the MCDI. At ages 2 and 3, parents completed the 6-item word use and 12-item
sentence complexity scales. At age 3, the word use scale was expanded to 12 items.
At age 4, a single 6-point global rating scale assessed language complexity from ‘not
yet talking’ to ‘talking in long and complicated sentences.’ The verbal ability
composite for the MCDI was calculated as the standardised mean of vocabulary and
grammar scores. More detailed descriptions of the TEDS verbal measures between
ages 2 to 4 are available in the TEDS data dictionary and previous TEDS
publications (Dionne et al., 2003; Hayiou-Thomas et al., 2012).
Nonverbal ability was assessed using the Parent Report of Children's Abilities
(PARCA; Saudino et al., 1998), including parent-administered tasks and parent-
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Charting cognitive development using adult ‘polygenic g scores’ 5
report questionnaires. At age 2, parent-administered tasks included matching (8
items), brick building (4 items), folding (1 item), and copying (7 items) from the
Bayley Scales of Infant Development (Bayley, 1993) and a design drawing task (4
items) adapted from the McCarthy Scales (McCarthy, 1972). The parent-report
component assessed conceptual knowledge (26 items). At age 3, parent-
administered tasks included odd-one-out (16 items), design drawing (6 items), and
matching (16 items), with conceptual knowledge assessed via 24 items. At age 4,
parent-administered tasks comprised the age 3 odd-one-out and design drawing
tasks, plus draw-a-man (1 item) and puzzles (12 items). Conceptual knowledge was
assessed via 12 items. The nonverbal ability composite was calculated as the
standardised mean of parent-administered and parent-report PARCA scores,
following the TEDS data dictionary and established practice in previous TEDS
publications (Asbury et al., 2005; Oliver et al., 2004; Petrill et al., 2001; Saudino et
al., 1998).
General cognitive ability at each age was calculated as the standardised
mean of verbal and nonverbal composites.
Cognitive Abilities at Later Ages (Ages 7-25). Cognitive ability measures at
ages 7, 9, 10, 12, 16, and 25 have been described in detail in a previous TEDS
publication and are only briefly summarised here (see Lin et al., 2025 supplementary
materials).
At age 7, cognitive assessments were conducted via telephone interviews.
Verbal ability was measured using the Wechsler Intelligence Scale for Children
(WISC-III) Similarity and Vocabulary tests (Wechsler, 1992). Nonverbal ability was
assessed using the Conceptual Grouping Test and WISC Picture Completion Test
(McCarthy, 1972).
At ages 9 and 10, verbal ability was assessed using WISC-III as a Process
Instrument (WISC-III-PI) Vocabulary and General Knowledge tests (Kaplan et al.,
1999). Nonverbal ability was measured using the Cognitive Abilities Test 3 (CAT3)
figure classification and figure analogy tests at age 9 and WISC-III-UK Picture
Completion and Raven's tests at age 10 (Raven et al., 1996; Smith et al., 2001).
Assessments were administered via mailed booklets at age 9 and online at age 10
and all subsequent ages.
At age 12, verbal ability comprised language tests (syntax, semantics,
pragmatics) and reading tests (comprehension and fluency) (GOAL plc (2002), n.d.;
Hammill et al., 1994; Markwardt, 1997; Torgesen et al., 1999; Wiig et al., 1989;
Woodcock et al., 2001). Nonverbal ability was assessed using mathematical ability
tests from the National Foundation for Education Research (Smith et al., 2001).
General cognitive ability was independently assessed using WISC-III-PI Vocabulary,
General Knowledge, Picture Completion (Wechsler, 1992), and Raven’s Pattern test
(Raven et al., 1996).
At age 14, verbal ability was assessed using a 27-item WISC-III-PI vocabulary
multiple-choice test (Kaplan et al., 1999). Nonverbal ability was measured using the
30-item Raven's Standard Progressive Matrices (Raven et al., 1996).
At age 16, verbal and nonverbal abilities were assessed using the Mill Hill
Vocabulary test (Raven et al., 1998) and Raven's Standard and Advanced
Progressive Matrices (Raven et al., 1996).
Between ages 7 and 16, except for age 12, verbal and nonverbal composites
were calculated as standardised means of their respective component tests, and
general cognitive ability was calculated as the standardised mean of the verbal and
nonverbal composites.
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Charting cognitive development using adult ‘polygenic g scores’ 6
Age 18, assessment only included two spatial ability online measures
developed by TEDS researchers (Malanchini et al., 2020; Rimfeld et al., 2017): a
bricks test and a navigation study. The Bricks test measured spatial ability through
mental rotation and visualisation using both 2D and 3D stimuli across six subtests (9
items each): 2D rotation, 2D rotation and visualisation, 2D visualisation, 3D rotation,
3D rotation and visualisation, and 3D visualisation. Both individual subtest scores
and the overall Bricks total score (mean of all six subtests) were included in the
present study. The Navigation test included 30 tasks across six types (5 items each):
orientation-direction, orientation-landmarks, map reading without memory, map
reading with memory, perspective, and scanning. Each task generated accuracy,
speed, and total scores; only the overall total score (mean of the six task types) was
used in analyses.
At age 25, cognitive abilities were assessed using Pathfinder, a gamified web-
based measure developed by TEDS researchers (Malanchini et al., 2021). Verbal
ability (20 items) included the Mill Hill vocabulary, missing letter, and verbal
reasoning tests. Nonverbal ability (20 items) included Raven’s standard progressive
matrices and three visual puzzle tests on analogies, grouping, and logical
sequences. Unlike earlier ages, cognitive ability scores at age 25 were not
standardised; general cognitive ability scores ranged from 0-40, while verbal and
nonverbal scores each ranged from 0-20.
Educational Achievement. Educational outcomes were examined using
educational achievement from primary school to university. Educational outcomes at
ages 7, 9, 10, 12, 16, 18, 21, and 26 have been described previously (Lin et al.,
2025). The present study extended these general outcomes by including subject-
specific grades up to age 18 and adding assessment at age 14.
At ages 7, 9, 10, and 12, teachers rated achievement in English and
mathematics (starting at age 7) and science (starting at age 9) based on the National
Curriculum Levels (https://www.gov.uk/national-curriculum/overview). The ratings
ranged from 0-4 at age 7 and 0-9 at later ages.
At age 14, parents reported grades in English, mathematics, and science and
the grades were translated to the 0-9 National Curriculum Levels.
At age 16, General Certificate of Secondary Education (GCSE) is a national-
level exam taken at the end of compulsory education. GCSE exam grades were
obtained for core subjects (English, mathematics, and science), humanities, and
languages. The grades ranged from 4 (G) to 11 (A*).
At age 18, A-level and AS-level qualifications were assessed across English,
mathematics, science, technology, humanities, languages, and vocational subjects.
A-levels are two-year qualifications completed after compulsory education and
required for university entry. AS-levels represent completion of the first year only.
When A-level grades were unavailable, AS-level grades were used. Grades ranged
from 1 (E) to 6 (A*).
At age 21, university degree classification was self-reported on a scale from 1
(lowest pass) to 5 (first-class honours).
At age 26, most twins have completed their education. Therefore, educational
attainment (i.e., years of schooling) was used to measure educational outcomes. For
twins missing age 26 data, age 21 educational attainment was used (correlation
between ages: r = 0.86).
Behaviour Problems. Behaviour problems were primarily assessed using the
Strengths and Difficulties Questionnaire (SDQ) (Goodman, 1997), which was
administered consistently across ages from 2 to 26 and across multiple informants.
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Charting cognitive development using adult ‘polygenic g scores’ 7
The SDQ yields five subscales: conduct problems, emotional problems,
hyperactivity, peer problems, and prosocial behaviour. The first four problem
subscales were summed to create a total problems score at each age.
Between the ages 2 to 4, the Preschool Behaviour Questionnaire (Behar
scales) was used to measure parent-reported behaviour problems (Behar, 1977),
with items converted to SDQ-comparable components by TEDS researchers
(https://datadictionary.teds.ac.uk/pdfs/4yr/234yr_behaviour_items.pdf). From age 7
onward, the standard 25-item SDQ was administered with multiple informants:
parent reports at ages 7, 9, 12, 16, and 21 (emotional and peer problem subscales
were not available from parents at age 16); teacher reports at ages 7, 9, and 12; and
self-reports at ages 12, 16, 21, and 26.
We also included measures of anxiety and ADHD symptoms collected at
multiple ages. Additional behaviour problems assessed at one or two ages were
examined as outcomes; these results are presented in the Appendices.
Socioeconomic Status (SES). Family SES was assessed at birth and at
ages 7, 16, and 21. Each SES composite was standardised as z-scores and
calculated from parental employment status (coded according to the UK Standard
Occupational Classification or SOC,
https://www.ons.gov.uk/methodology/classificationsandstandards/standardoccupatio
nalclassificationsoc/), parental highest educational qualifications, and household
income.
Genetic Measures
Genotyping for the TEDS participants was conducted on one of two platforms:
the Affymetrix Genome-Wide Human SNP Array 6.0 and the Illumina
HumanOmniExpressExome-8v1.2. DNA was obtained from either buccal cheek
swabs or saliva samples collected over several waves.
Following quality control, genotypes from both platforms were separately
phased using EAGLE2 and then imputed to the Haplotype Reference Consortium
(release 1.1) (Durbin, 2014; Loh et al., 2016; McCarthy, 2016). After imputation,
harmonisation, and merging of the two datasets, a final set of 7,363,646 SNPs for
10,346 twins remained for analysis. More details of the genotyping and imputation
processes are described in previous TEDS publications (Lin et al., 2025; Selzam et
al., 2018).
We constructed polygenic scores using LDpred2-auto, a Bayesian method
that adjusts GWAS summary statistics for linkage disequilibrium (LD) using the
HapMap3+ reference panel (Privé et al., 2021). Approximately 1.1 million SNPs
common between the TEDS sample and the HapMap3+ panel were included. The
most recent GWAS summary statistics of educational attainment (EA4) and
intelligence (IQ3) were used (Okbay et al., 2022; Savage et al., 2018).
To maximise the prediction of general cognitive ability, we combined the EA4
and IQ3 polygenic scores using SMTPred, which applies an ordinary least squares
(OLS) weighting approach (Maier et al., 2018). In our sample, EA4 was weighted
0.08 and IQ3 0.05. The resulting combined score, termed the polygenic g score,
correlated highly with IQ3 (r = 0.81) and EA4 (r = 0.87) polygenic scores in our
sample. This polygenic g score was used as the primary predictor for all cognitive
abilities, educational achievement, behaviour problems, and anthropometric
outcomes in the present study.
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Charting cognitive development using adult ‘polygenic g scores’ 8
Statistical Analyses
The present study was pre-registered at https://osf.io/vhuyj/overview.
Analyses were performed using RStudio 2023.09.1+494 with codes available on
GitHub (https://github.com/YujingLinn/Cog-PGS).
Before carrying out the main analyses, we conducted sensitivity tests to
examine potential effects of age, sex, zygosity, twin birth order, genotyping chip, and
the first ten genomic principal components (PCs) on all phenotypes and family
socioeconomic status measured across development. Sensitivity analyses of the
polygenic g score were also conducted, except for age effects. Results are detailed
in Appendix Table B1.
Sensitivity analyses revealed significant associations between several
covariates and the phenotypes. Specifically, age, sex, zygosity, genotyping chip, and
the first ten genomic PCs showed significant effects on about half of the phenotypes.
Twin birth order showed no significant effects. For the polygenic g score, significant
effects were detected for zygosity, genotyping chip, and the ninth and tenth PCs.
Thus, we adopted a conservative approach by including age, sex, genotyping chip,
and the first ten genomic PCs as covariates in all cross-sectional analyses for
consistency, even though not all phenotypes were significantly associated with every
covariate. Age was excluded as a covariate in longitudinal analyses. Since including
zygosity as a covariate is relatively unconventional, we performed additional
analyses stratifying the sample into monozygotic and dizygotic twins to examine
whether the polygenic g score predictions were robust across zygosity groups.
Polygenic Score Prediction
Our main analysis was to examine associations between our polygenic g
score and outcomes at each age using a subsample of unrelated individuals (one
randomly selected twin per pair). All phenotypes were analysed, including both
composite scores and their constituent components or specific test scores.
All continuous outcomes were standardised prior to analysis. Models included
age, sex, genotyping chip, and the first ten PCs as covariates to control for batch
effects and population structure. We report standardised beta coefficients for the
polygenic g predictor. Incremental variance explained was calculated as the
difference in R² between the full model and a reduced model containing only
covariates. Confidence intervals were estimated using percentile bootstrapping with
1000 iterations.
To ensure the robustness of our findings, we repeated all prediction analyses
separately among females, males, monozygotic twins, and dizygotic twins.
Common Factor Analyses
Next, we examined the polygenic g score prediction of cross-time common
factor of the phenotypes. We extracted cross-time common factors from repeated
measures of the same construct, assuming these reflect stable underlying latent
traits. Using multilevel structural equation modelling (SEM) to account for twin
structure (i.e., family clustering), we conducted confirmatory factor analyses (CFA)
for g, verbal ability, nonverbal ability, SDQ, anxiety, and ADHD. Whereas cross-
sectional analyses used one randomly selected twin per family to ensure
independence, SEM analyses included both twins from each pair to increase
statistical power, retaining the full sample while appropriately adjusting for within-
family non-independence. Common factors were extracted for both total scales and
subscales where applicable.
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Charting cognitive development using adult ‘polygenic g scores’ 9
For cognitive and educational outcomes, TEDS employed the most
appropriate informant depending on the developmental stage. Cognitive measures at
early ages were administered by parents, and then the children took the tests
themselves. Educational achievement was mainly evaluated by teachers, while
national exam scores were provided by parents. Because different informants were
used at different ages (e.g., parent-administered tests in early childhood, self-
administered tests in adolescence), the common factors for cognitive abilities and
educational achievement reflect developmental changes over time as well as
potential method variance associated with different informants.
For behaviour outcomes, multiple informants were used at the same age. For
example, SDQ was reported by parents at ages 2, 3, 4, 7, 9, 12, 16, and 21; by
teachers at ages 7, 9, and 12; and via self-report at ages 12, 16, 21, and 26. This
multi-informant approach reflects developmental appropriateness: parent reports are
most suitable in early childhood when children cannot report reliably, teacher reports
provide complementary school-based perspectives during school age, and self-
reports become increasingly valid as adolescents develop greater self-awareness
and autonomy.
We therefore extracted both cross-rater common factors (combining all
informants) and within-rater common factors when three or more assessments from
the same informant were available for a given construct.
We then used the polygenic g score to predict these common factors and
compared predictive validity against the age-specific cross-sectional predictions.
Models included age, sex, genotyping chip, and the first 10 genomic principal
components as covariates, with standardised beta coefficients and incremental R²
reported. All analyses were repeated separately for female and male subsamples.
Latent Growth Curve Model
We conducted latent growth curve analyses to examine how the polygenic g
score predicts both baseline levels (intercept) and developmental trajectories (slope)
across time. A positive association with the intercept indicates that higher polygenic g
scores predict higher initial levels of the phenotype, while a positive association with
the slope indicates that higher polygenic g scores predict steeper increases in the
phenotype over time. These analyses were conducted for measures with repeated
assessments across development, including general cognitive ability, verbal and
nonverbal abilities, educational outcomes, the subscales of the SDQ, anxiety, ADHD,
height, and BMI.
For measures with multiple potential informants, we prioritised consistency
across developmental stages. For most phenotypes, we used parent reports before
age 18 and self-reports from age 18 onwards. When parent reports were unavailable
in childhood or adolescence, we prioritised teacher reports, followed by child reports;
however, in most cases, child reports were used when parent reports were
unavailable.
Missing data in the repeated measures were handled using Full Information
Maximum Likelihood within the latent growth curve models (Enders & Bandalos,
2001). This approach uses all available data points for each participant, allowing
inclusion of individuals with partially missing timepoints. Participants were included if
they had data available for at least two timepoints. No additional imputation was
performed for other variables included in the models.
Like the confirmatory factor analyses, all latent growth models used the full
twin sample with multilevel modelling to account for family clustering, maximising
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Charting cognitive development using adult ‘polygenic g scores’ 10
statistical power. Sex was included as a covariate in models for the whole sample.
We also conducted multi-group analyses to compare intercepts and slopes between
females and males, with family clustering accounted for within each sex-stratified
sample.
Profile Analysis of Extremely High and Extremely Low Polygenic g Scores
We examined the developmental trajectories of participants with extreme
polygenic g scores, defined as scores above or below three standard deviations from
the population mean.
To maximise sample size, we assigned polygenic g scores to the MZ co-twins
of genotyped individuals, as only one twin per MZ pair was genotyped because MZ
twins share identical genomes. This yielded 19 participants with scores three
standard deviations above the mean and 14 participants with scores three standard
deviations below the mean.
We plotted the observed values of cognitive, educational, and behaviour
problem outcomes for these extreme groups across development (standardised for
comparability). Socioeconomic status was also plotted alongside the trajectories for
context, rather than included as a covariate, given the potential circularity between
polygenic g scores and SES.
To formally compare differences in outcomes across development between
extreme groups, we divided the full sample into deciles based on polygenic g scores
and conducted independent samples t-tests comparing the top and bottom deciles at
each age.
Nonlinearity Tests
Finally, to test whether the relationship between polygenic g scores and
outcomes is linear, we conducted regression analyses including a quadratic term for
the polygenic g score. A significant quadratic term would indicate nonlinearity,
representing either accelerating or decelerating effects at the extremes of the
distribution. Conversely, a non-significant quadratic term would support linearity,
suggesting that high and low extremes differ only quantitatively, not qualitatively,
from the rest of the distribution.
Multiple Testing Correction
We applied the false discovery rate (FDR) correction to account for multiple
testing across all regression analyses. All reported p-values are FDR-adjusted
values.
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Charting cognitive development using adult ‘polygenic g scores’ 11
Results
We focus primarily on cognitive, educational, and behaviour problem
phenotypes in this section, with other phenotypes discussed as relevant. Full results
for all phenotypes, including anxiety, ADHD, anthropometric outcomes, and those
assessed at just one or two ages, are reported in the appendices. Descriptive
statistics for all phenotypes and the polygenic g score are shown in Appendix Table
B2 and correlation matrices in Appendix Figure C1.
1a)
1b)
1c)
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Charting cognitive development using adult ‘polygenic g scores’ 12
Figure 1. Polygenic g score prediction of cognitive abilities, educational
achievement, and behaviour problems across development.
Standardised beta (β) coefficients with 95% bootstrapped confidence intervals
(1000 iterations) for the prediction of developmental outcomes by polygenic g
score. Analyses were conducted in the unrelated sample by randomly
selecting one twin from each pair. Panel a: General cognitive ability (g)
composite, and domain-specific verbal and nonverbal ability composites
measured from ages 2 to 25. Panel b: Educational achievement in English,
mathematics, and science, and a core-subject composite. Science was first
measured at age 9, while English and mathematics were also assessed at
age 7. The core-subject composite was derived from English, mathematics,
and science (where available) from ages 7 to 18, with general university
grades used at age 21 and years of schooling at age 26. For plotting
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Charting cognitive development using adult ‘polygenic g scores’ 13
purposes, 'core subject' serves as an overarching category representing
educational achievement and attainment through age 26. Panel c: Strengths
and Difficulties Questionnaire (SDQ) five subscales (conduct problems,
emotion problems, hyperactivity, peer problems, and prosocial behaviour) and
total problems score measured from ages 2 to 26. For SDQ, the rater is
indicated by a symbol shape (parent, teacher, or child). For other outcomes,
performance-based measures were used, with parent ratings at early ages
and self-reports or test-based assessments at later ages. The vertical dashed
line at β = 0 represents no association. Asterisks denote statistical
significance: * p < 0.05, ** p < 0.01, *** p < 0.001, **** p < 0.0001. Complete
numerical results, including sex-stratified and zygosity-stratified analyses, are
reported in Appendix Table B3. Individual tests comprising the cognitive
composites are presented in Appendix Figures C2 and C3.
Polygenic g Score Prediction from Infancy to Early Adulthood
Polygenic g score significantly predicted most outcomes across phenotypes at
most ages from childhood onwards. As shown in Figure 1a, for cognitive abilities, the
prediction was weak or absent in infancy (ages 2 to 4). From childhood, the
prediction increased steadily and reached a peak in early adulthood (age 25) with
standardised beta coefficients of 0.35 (95% CI [0.31, 0.39]) for both g and verbal
ability, and 0.28 [0.24, 0.31] for nonverbal ability.
We also examined polygenic g score prediction for the individual verbal and
nonverbal tests used to construct the cognitive ability composites (see Appendix
Figures C2 and C3). Similar patterns as in the composites were identified: weak or
absent prediction in infancy that strengthened with age. Among verbal tests
(Appendix Figure C2), the strongest prediction emerged for the Verbal Reasoning
task from the Pathfinder battery at age 25 (βstandardised = 0.32 [0.28, 0.36]). Among
nonverbal tests (Appendix Figure C3), the strongest prediction was observed for the
Understanding Number task at age 16 (βstandardised = 0.31 [0.27, 0.35]).
For educational outcomes (see Figure 1b), polygenic g score associations
were moderate at age 7 (βstandardised ≈ 0.25), increased through mid-adolescence.
Prediction strength peaked at age 16 for GCSE grades: English (β = 0.33 [0.30,
0.38]), mathematics (βstandardised = 0.38 [0.34, 0.42]), science (βstandardised = 0.38 [0.34,
0.42]), and the core-subject composite (βstandardised = 0.39 [0.35, 0.43]). Polygenic g
score associations declined for A-level, university grades and years of schooling.
For behaviour problems, we focused on SDQ measures (Figure 1c). Negative
associations were observed for most behaviour problem measures across ages and
raters. Significant predictions emerged in infancy for all SDQ subscales. For conduct
problems and hyperactivity, associations strengthened slightly and peaked at
approximately βstandardised = -0.12 and -0.13, respectively, in late childhood and
adolescence, then weakened in early adulthood—becoming non-significant for
hyperactivity but remaining significant for conduct problems. For emotional and peer
problems, associations were largely non-significant from infancy to adolescence but
became significantly negative though weak in adulthood. We also examined
associations between the polygenic g score and the total problem scale. A consistent
pattern of significant weak negative associations was observed across ages and
raters, ranging from βstandardised = -0.06 to -0.13.
For prosocial behaviour, the polygenic g score explained negligible variance
(all <0.5%) after accounting for age and sex effects. Associations were generally
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Charting cognitive development using adult ‘polygenic g scores’ 14
weak and inconsistent across raters and ages, with some being slightly negative
early in life.
For other behaviour problems (anxiety in Appendix Figure C4; ADHD in
Appendix Figure C5), weak negative associations were observed from infancy
onward. Interesting patterns emerged for height and BMI, with non-significant
associations until early adulthood, then positive associations with height and
negative associations with BMI (Appendix Figures C6 and C7). For other
miscellaneous outcomes, associations were largely positive for education- and
cognitive-related phenotypes and showed mixed patterns for wellbeing-related
phenotypes (Appendix Figure C8).
Polygenic g Score Prediction of Cross-Time and Cross-Rater Latent Factor
We extracted cross-time latent factors to systematically examine polygenic g
score prediction across age and raters. For parent, teacher, and child reports of
behaviour problems, we extracted both cross-rater and within-rater latent factors.
All observed variables loaded significantly onto their respective latent
constructs (Appendix Table B4), with standardised loadings ranging from 0.27 to
0.83. Model fit indices are provided in Appendix Table B5. For cognitive abilities
(Appendix Figure C9), model fit was suboptimal compared to behaviour problems,
yet predictions for the latent factors matched the strongest individual measure
predictions for g (βstandardised = 0.39 [0.37, 0.41]), verbal ability (0.36 [0.34, 0.38]), and
nonverbal ability (0.33 [0.31, 0.35).
For behaviour problems, model fits were mostly good. Cross-rater predictions
showed that the polygenic g score was negatively associated with total SDQ
problems (βstandardised = -0.19), conduct problems (-0.21), hyperactivity (-0.20),
emotional problems (-0.11), peer problems (-0.08), and prosocial behaviour (-0.05;
Appendix Figure C9). Cross-rater estimates approximated the average of within-rater
estimates, with no clear pattern about which rater showed stronger prediction.
Within-rater models tended to show slightly better fit, which is expected given that
combining ratings across informants introduces additional method variance due to
informant effects.(Achenbach et al., 1987; Glaser et al., 1997). Standardised path
diagrams for all 39 models appear in Appendix Figure C10.
Polygenic g Score Prediction of Developmental Trajectories
Beyond examining associations at individual ages and cross-time common
factors, we used latent growth curve models to examine how the polygenic g score
predicts both baseline levels (intercepts) and rates of developmental change
(slopes). Only longitudinal measures were included for cognitive abilities, educational
achievement, behaviour problem and anthropometric outcomes. The full results are
presented in Appendix Table B6 for the full sample and in Appendix Table B7 for the
sex-stratified sample.
At the baseline, the polygenic g score already displayed significant positive
associations with cognitive, educational, and anthropometric outcomes. The
strongest baseline predictions were for science achievement and core-subject
achievement (both βstandardised = 0.35), followed by cognitive composites: g and verbal
ability (both 0.10) and nonverbal ability (0.09). In contrast, all behaviour problem
intercepts showed negative associations ranging from -0.02 to -0.17, indicating that
children with higher polygenic g scores exhibited fewer behaviour problems.
Across development, the polygenic g score predicted steeper developmental
increases for most cognitive and educational outcomes, including both g and verbal
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Charting cognitive development using adult ‘polygenic g scores’ 15
ability (βstandardised = 0.31), which were followed by science achievement (0.28),
nonverbal ability (0.27), and core-subject achievement (0.13). Together, the positive
baseline and growth effects for cognitive and educational outcomes implied that
children with higher polygenic g scores started with higher cognitive and educational
performance and continued to increase at a faster rate across development.
For behaviour problems, although half of the growth effects were negative and
non-significant, the significant effects were primarily positive. For example, positive
associations were found for ADHD and its subscales (βstandardised = 0.09 to 0.11), for
ARBQ negative affect (0.06), and for SDQ hyperactivity (0.07). Peer problems
showed the only significant negative slope (-0.09). Together with the negative
baseline effects, the positive growth effects suggested that children with higher
polygenic g scores begin with fewer behaviour problems but show slightly larger
increases over time, gradually moving closer to the average developmental
trajectories. In contrast, we found the opposite for BMI, which yielded a combination
of a positive intercept (0.08) and a negative slope (-0.13), indicating that children
with higher polygenic g scores started with a higher BMI, which increased at a slower
rate with age.
Additionally, across models, consistently negative correlations between
intercepts and slopes were identified, ranging from -0.31 to -0.68, indicating that
individuals with higher baseline levels tended to show slower rates of increase over
time.
Polygenic g Score Prediction Across the Distribution
To examine whether polygenic g score prediction varies across the
distribution, we first tested for nonlinear effects by including both linear and quadratic
terms in the same model. Across all outcomes, no significant quadratic effects were
observed in either the full sample or sex-stratified analyses (all incremental R² 0.05; Appendix Table B8). These results indicate that
associations are linear throughout the distribution, with no evidence of stronger or
weaker effects at the ends of the polygenic score distribution.
Second, we compared phenotypic outcomes between individuals at the
distributional tails—those in the top versus bottom polygenic g score deciles
(Appendix Table B9). For cognitive abilities, individuals at the top of the distribution
consistently scored significantly higher than those at the bottom from around age 7
onwards, with occasional exceptions (e.g., spatial ability in adolescence and
adulthood). Differences were non-significant in infancy. For educational achievement,
all comparisons between distributional extremes were statistically significant. For
behaviour problems, approximately half of the phenotypes showed non-significant
differences between the top and bottom deciles. For example, peer problems across
most ages and raters, as well as height and BMI, showed no significant differences
between top and bottom deciles. The magnitude of decile differences generally
corresponded to population-level prediction strength. Outcomes with stronger overall
associations (such as cross-age and cross-rater composite scores) consistently
showed significant differences between the top and the bottom polygenic g score
deciles.
Polygenic g Score Prediction for the Highest and Lowest Individuals
To examine outcomes at the distributional extremes in greater detail, we
identified individuals with the highest (N = 19) and lowest (N = 14) polygenic g
scores (Figure 2). Sample characteristics are presented in Appendix Table B2 and
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Charting cognitive development using adult ‘polygenic g scores’ 16
group comparisons in Appendix Table B10. Due to small sample sizes, most
comparisons were not statistically significant. Notably, SES differed significantly
between groups at all ages.
For cognitive abilities, both groups initially performed within one standard
deviation (SD) of the population mean in infancy and early childhood (Figures 2a and
2d). By middle childhood, the high polygenic score group had IQ-equivalent scores
of about 110. The low polygenic score group had IQ-equivalent scores between 80
and 90 in middle childhood but experienced substantial attrition; by adulthood, only
one individual remained in the study.
Educational achievement yielded similar developmental trends. The high
polygenic score group (Figure 2b) performed about one SD above the population
mean, while the low polygenic score group performed about one SD below the mean
(Figure 2e). For behaviour problems, neither group differed significantly from the
population mean or from each other (Figures 2c and 2f). Mean trajectory
comparisons for the additional phenotypic groups are presented in Appendix Figure
C11. Individual trajectories with SES annotations for all participants with the highest
and lowest polygenic g scores are shown in Appendix Figures C12 and C13,
respectively.
Figure 2. Mean developmental trajectories for individuals with the
highest and lowest polygenic g scores. Mean trajectories across
development for individuals with polygenic g scores >145 (panels a-c) and
<55 (panels d-f). Panel a/d: General cognitive ability (g) composite and
domain-specific composites (nonverbal and verbal ability). Panel b/e:
educational achievement outcomes including English, mathematics, science,
and core-subject composite (sum of English, mathematics, and science).
Panel c/f: Strengths and Difficulties Questionnaire (SDQ) five subscales and
total problem score. All measures are standardised to mean = 0, SD = 1,
except for cognitive ability measures (mean = 100, SD = 15). Shaded areas
represent 95% confidence intervals; absence of confidence intervals indicates
that only one individual was measured at that age. For phenotypes with
multiple raters, one rater per age is used: parent ratings before age 18 and
child/self-ratings at age 18 and older. Black horizontal line at y = 0 represents
the population average.
Polygenic g Score Prediction Among Subsamples
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Charting cognitive development using adult ‘polygenic g scores’ 17
Polygenic g score predictions showed high consistency across sexes at each
age, the latent factor across ages, developmental trajectories, across distributions,
and among the most extreme scorers. Estimates were typically within one to two
standard errors of each other, well within the range of overlapping 95% confidence
intervals. Cognitive composites and individual cognitive tests showed nearly identical
predictions for males and females. Educational outcomes showed similar patterns for
both sexes, with predictions increasing through high school and declining thereafter.
For behaviour problems, predictions were also comparable between sexes, with only
occasional deviations (e.g., peer problems at age 21 showed βstandardised = -0.17 for
females and -0.06 for males). On average, the differences in standardised beta
coefficients between sexes were smaller than 0.01.
Zygosity comparisons likewise revealed minimal differences. Predictions were
highly similar for monozygotic and dizygotic twins, with an average difference in
standardised beta coefficients of only 0.01 across all phenotypes. The largest
observed difference was for English achievement at age 16 (βstandardised = 0.37 for
monozygotic twins vs. 0.24 for dizygotic twins), though such differences were rare
exceptions rather than a consistent pattern.
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Charting cognitive development using adult ‘polygenic g scores’ 18
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