Daniel J. Benjamin’s research while affiliated with University of California, Los Angeles and other places

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Publications (144)


Illustration of different standard and FGWAS estimators and theoretical gain in effective sample size for DGEs
a, We illustrate the different sample subsets used by different FGWAS and standard GWAS methods. We give the numbers for each subset for the UKB ‘White British’ sample for illustration. The sibling difference estimator uses samples with one or more siblings’ genotypes observed (35,259 individuals), whereas the Young et al. estimator uses all related samples, which also include individuals with both parents’ genotypes observed (894) and those with one parent’s genotype observed (5,316); in addition to the related samples, the standard GWAS and unified estimators also use singletons (368,629). b, Illustration of regressions performed by standard GWAS and the unified estimator. Through linear imputation of parental genotypes, the unified estimator incorporates singletons into the FGWAS regression, enabling use of the same sample as standard GWAS to estimate the parameter vector [δ, α]T. Although the design matrix for the singleton subset (in blue) in FGWAS is collinear, the design matrix for the related sample subset (in red) is not, so the stacked design matrix is not collinear. c,d, We show the effective sample size for the unified estimator applied to n0 = 20,000 sibling pairs and n1 singletons, relative to the effective sample size of using the sibling pairs alone with imputation. The parental genotypes in the sibling sample are imputed³ using phased data (c) and unphased data (d). The parental genotypes for the singletons are imputed linearly. The theoretical gain depends upon the correlation between the siblings’ residuals, which we show in c. When imputing using unphased data, the gain depends upon the minor allele frequency³, which we show in d for a fixed correlation between siblings’ residuals of 0.3. We confirmed the theoretical results using simulations (Supplementary Note 2.1).
Bias and nonsampling variance of GWAS estimators for different levels of population structure
We simulated four different populations with different levels of structure, as measured by Wright’s Fst. Each population consisted of two equally sized subpopulations with 2,000 independent sibling pairs and 18,000 singletons. Allele frequencies for the two subpopulations were simulated from the Balding-Nichols³¹ model with ancestral allele frequency set to 0.5 (Methods). We simulated phenotypes with no causal genetic effects but where subpopulation membership explained 50% of the phenotypic variance, so that any deviation from the null distribution indicates population stratification confounding. a, Mean of squared Z-statistics across 20,000 SNPs for the four estimators, which are expected to be above 1 (dashed line) when there is bias due to population stratification. b, Same as a but with the standard GWAS removed. c, Mean of nonsampling variances (Methods) of the estimators relative to that observed for standard GWAS with Fst = 0.001, which gives a measure of the magnitude of bias due to population stratification, with values above 0 indicating bias. d, Same as c but with the standard GWAS removed. Error bars display 95% jackknife confidence intervals over 20,000 SNPs.
Bias and nonsampling variance of estimators under complex population structure
We simulated four different populations with different levels of structure, as measured by Wright’s Fst. Each population consisted of 100 equally sized subpopulations with 100 independent sibling pairs and 900 singletons. Allele frequencies for the subpopulations were simulated from the Balding-Nichols³¹ model with ancestral allele frequencies, f, drawn from a distribution proportional to 1/f (Methods). We simulated phenotypes with no causal genetic effects but where subpopulation membership explained 50% of the phenotypic variance, so that any deviation from the null distribution indicates population stratification confounding. For standard GWAS estimators, we inferred PCs and performed standard GWAS adjusting for different numbers of PCs (Methods): 0, 20, 50 and 99. a, Mean of squared Z-statistics across 4,000 SNPs for the four estimators, which is expected to be above 1 (dashed line) when there is bias due to population stratification. b, Mean of nonsampling variances (Methods) of the estimators relative to the that observed for standard GWAS with Fst = 0.001, which gives a measure of the magnitude of bias due to population stratification, with values above 0 indicating bias. Error bars display 95% jackknife confidence intervals over 4,000 SNPs.
Bias-variance tradeoff for family-based estimators
a–d, The simulated datasets used in Fig. 2 are used for this demonstration: 2,000 independent sibling pairs and 18,000 singletons in each of two subpopulations with different levels of Fst (Methods): Fst = 0 (a), Fst = 0.001 (b), Fst = 0.01 (c) and Fst = 0.1 (d). The effective sample size (x-axis) is defined relative to that of the sib-difference estimator (Table 2) and should be equal to 1 (vertical dashed line) for the robust/sib-difference estimators—which are equivalent here—and higher than 1 for the other estimators. Bias (y-axis) is measured as the nonsampling variance (Methods) relative to that for standard GWAS with Fst = 0.001, and is expected to be above 0 (horizontal dashed line) when there is bias due to population stratification. Error bars display a 95% jackknife confidence interval over 20,000 SNPs. See Extended Data Figs. 3 and 4 for plots including the standard GWAS estimator and a sibling-only scenario (that is, no singletons).
Empirical gain in effective sample for DGEs
We compute the effective sample size of the different estimators in UKB data (Table 2 and Supplementary Table 1) relative to that of the sib-difference estimator (y-axis), so that a value of (1 + y) means a gain of 100y% in effective sample size over the sib-difference estimator (Methods). We give the phenotypic correlation between siblings on the x-axis, as theory indicates the gain in effective sample size should decline with this correlation (Fig. 1c). a, Effective sample size for the unified (actual n = 408,254) and Young et al. (actual n = 44,570) estimators relative to the sib-difference estimator (actual n = 35,259) within the White British ancestry subsample. b, Effective sample size for the robust estimator (actual n = 51,875) relative to sib-difference estimator (actual n = 46,698), applied to the relevant samples without ancestry restrictions. The Young et al. estimator is more powerful than the sib-difference estimator because it uses information on NT parental alleles inferred by Mendelian imputation³, and because it can incorporate individuals with one or both parents genotyped but without any siblings genotyped. The unified estimator gains over the Young et al. estimator by further including individuals without any genotyped first-degree relatives (singletons) through linear imputation (Fig. 1a,b). The robust estimator gains power over the sib-difference estimator by using parental genotypes for samples with one or both parents genotyped (Methods). HDL, high-density lipoprotein.

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Family-based genome-wide association study designs for increased power and robustness
  • Article
  • Full-text available

March 2025

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8 Reads

Nature Genetics

Junming Guan

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Tammy Tan

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Seyed Moeen Nehzati

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[...]

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Alexander Strudwick Young

Family-based genome-wide association studies (FGWASs) use random, within-family genetic variation to remove confounding from estimates of direct genetic effects (DGEs). Here we introduce a ‘unified estimator’ that includes individuals without genotyped relatives, unifying standard and FGWAS while increasing power for DGE estimation. We also introduce a ‘robust estimator’ that is not biased in structured and/or admixed populations. In an analysis of 19 phenotypes in the UK Biobank, the unified estimator in the White British subsample and the robust estimator (applied without ancestry restrictions) increased the effective sample size for DGEs by 46.9% to 106.5% and 10.3% to 21.0%, respectively, compared to using genetic differences between siblings. Polygenic predictors derived from the unified estimator demonstrated superior out-of-sample prediction ability compared to other family-based methods. We implemented the methods in the software package snipar in an efficient linear mixed model that accounts for sample relatedness and sibling shared environment.

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Genetic correlations between income measures
LDSC estimates of pairwise genetic correlations between the four input income measures, the meta-analysed income (Income Factor) and EA. The diagonal elements report SNP heritabilities from LDSC. The standard errors are reported in parentheses. Some of the results were out-of-bound estimates (exceeding 1.2).
Multivariate GWAS of income
Manhattan plot presenting the GWAS results for the Income Factor. Unadjusted two-sided Z-test. P values are plotted on the −log10 scale. The red crosses indicate the lead SNPs found from FUMA (r² < 0.1). The horizontal dashed line indicates genome-wide significance (P < 5 × 10⁻⁸).
Polygenic prediction of income measures
Polygenic prediction results in the STR, the UKB-sib and the HRS with PGIs for Income Factor and EA. Prior to fitting the regressions, each phenotype was residualized for demographic covariates (sex, a third-degree polynomial of age and interactions with sex) within each wave, and the mean of the residuals was obtained across the waves for each individual (only a single wave for the UKB-sib). Incremental R² is the difference between the R² from regressing the residualized outcome on the PGI and the controls (20 genetic PCs and genotyping batch indicators) and the R² from a regression only on the controls. Only individuals of European ancestry were included, and one sibling from each family was randomly chosen: N = 24,946 (individual), 19,245 (occupational) and 15,655 (household) for the STR; 15,556 (occupational) and 18,303 (household) for the UKB-sib; and 6,171 (individual) for the HRS. The error bars indicate 95% CIs obtained by bootstrapping the sample 1,000 times.
Genetic correlation estimates with health outcomes
Genetic correlation estimates of Income Factor, NonEA-Income and EA with health outcomes. Point estimates were obtained from LDSC and are displayed as dots. The whiskers show 95% CIs. The black asterisks indicate statistical significance of NonEA-Income at the FDR of 5%. The red asterisks indicate that the estimate is also significantly different from the estimate for EA at the FDR of 5%. The standard error for the difference was computed from jackknife estimates. Detailed results for all traits, including the sample size for each of the traits, is presented in Supplementary Table 23. ADHD, attention deficit hyperactivity disorder.
Phenome-wide association study of the Income Factor PGI (without parental PGI controls) in electronic health records for the UKB-sib sample
The genetic association of Income Factor PGI with 115 diseases from 15 categories without controlling for parental PGIs. The yellow boxes, with arrows pointing to the observations and −log10(P) values reported after the phenotypes, highlight diseases that are strongly associated with the Income Factor PGI (−log10(P) > 10). The P values were obtained via unadjusted two-sided Z-tests. The black and red dashed lines represent the threshold for statistical significance at P < 0.05. GERD, gastroesophageal reflux disease.
Associations between common genetic variants and income provide insights about the socio-economic health gradient

January 2025

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122 Reads

Nature Human Behaviour

We conducted a genome-wide association study on income among individuals of European descent (N = 668,288) to investigate the relationship between socio-economic status and health disparities. We identified 162 genomic loci associated with a common genetic factor underlying various income measures, all with small effect sizes (the Income Factor). Our polygenic index captures 1–5% of income variance, with only one fourth due to direct genetic effects. A phenome-wide association study using this index showed reduced risks for diseases including hypertension, obesity, type 2 diabetes, depression, asthma and back pain. The Income Factor had a substantial genetic correlation (0.92, s.e. = 0.006) with educational attainment. Accounting for the genetic overlap of educational attainment with income revealed that the remaining genetic signal was linked to better mental health but reduced physical health and increased risky behaviours such as drinking and smoking. These findings highlight the complex genetic influences on income and health.


Simple models of non-random mating and environmental transmission bias standard human genetics statistical methods

October 2024

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7 Reads

There is recognition among human complex-trait geneticists that not only are many common assumptions made for the sake of statistical tractability (e.g., random mating, independence of parent/offspring environments) unlikely to apply in many contexts, but that methods reliant on such assumptions can yield misleading results, even in large samples. Investigations of the consequences of violating these assumptions so far have focused on individual perturbations operating in isolation. Here, we analyze widely used estimators of genetic architectural parameters, including LD-score regression and both population-based and within-family GWAS, across a broad array of perturbations to classical assumptions, such as multivariate assortative mating and vertical transmission (parental effects on offspring phenotypes not mediated by genetic inheritance). We find that widely-used statistical approaches are unreliable across a broad range of perturbations, and that structural sources of confounding often operate synergistically to distort conclusions. For example, mild multivariate assortative mating and vertical transmission together can dramatically inflate heritability estimates and GWAS false positive rates. Further, GWAS will become progressively more polluted by off-target associations as sample sizes increase. Given these challenges, we introduce xftsim, a forward time simulation library capable of modeling a wide range of genetic architectures, mating regimes, and transmission dynamics, to facilitate the systematic comparison of existing approaches and the development of robust methods. Together, our findings illustrate the importance of comprehensive sensitivity analysis and present a valuable tool for future research.


Genetic architecture reconciles linkage and association studies of complex traits

October 2024

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113 Reads

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3 Citations

Nature Genetics

Linkage studies have successfully mapped loci underlying monogenic disorders, but mostly failed when applied to common diseases. Conversely, genome-wide association studies (GWASs) have identified replicable associations between thousands of SNPs and complex traits, yet capture less than half of the total heritability. In the present study we reconcile these two approaches by showing that linkage signals of height and body mass index (BMI) from 119,000 sibling pairs colocalize with GWAS-identified loci. Concordant with polygenicity, we observed the following: a genome-wide inflation of linkage test statistics; that GWAS results predict linkage signals; and that adjusting phenotypes for polygenic scores reduces linkage signals. Finally, we developed a method using recombination rate-stratified, identity-by-descent sharing between siblings to unbiasedly estimate heritability of height (0.76 ± 0.05) and BMI (0.55 ± 0.07). Our results imply that substantial heritability remains unaccounted for by GWAS-identified loci and this residual genetic variation is polygenic and enriched near these loci.


Figure 4. Comparison of genetic correlations estimated from population effects (x-axis) and direct genetic effects (y-axis). The shading gives the density of points from 435 pairs of phenotypes. We have marked and labeled the trait pairs where the genetic correlations are statistically distinguishable (FDR<0.01, two-sided test). The diagonal line is the identity. Errors bars indicate 95% confidence intervals. Trait abbreviations: BMI, body mass index; EA, educational attainment (years); FEV1, forced expiratory volume in 1 second; Non-HDL, total cholesterol minus high density lipoprotein cholesterol; Ever-smoker, whether an individual has ever smoked.
Figure 6. Out-of-sample polygenic prediction analysis using the educational attainment (EA) direct genetic effect (DGE) PGI. Familybased PGI analysis was performed on education and cognitiveperformance-related outcomes. Error bars give 95% confidence intervals. Outcome phenotypes: Avg. Eng. & Math GCSE Score (Supplementary Note Section 4); educational attainment outcome as defined in Okbay et al. 18 ; word Activity score from MCS Sweep 6 (age 14); cognitive assessment outcome from MCS Sweep 7 (age 17); fluid intelligence score from UK Biobank. Full descriptions of outcome phenotypes can be found in Supplementary Table 8. An expanded set of numerical results is available in Supplementary Table 9.
Family-GWAS reveals effects of environment and mating on genetic associations

October 2024

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162 Reads

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2 Citations

Genome–wide association studies (GWAS) have discovered thousands of replicable genetic associations, guiding drug target discovery and powering genetic prediction of human phenotypes and diseases. However, genetic associations can be affected by gene–environment correlations and non–random mating, which can lead to biased inferences in downstream analyses. Family–based GWAS (FGWAS) uses the natural experiment of random assignment of genotype within families to separate out the contribution of direct genetic effects (DGEs) — causal effects of alleles in an individual on an individual — from other factors contributing to genetic associations. Here, we report results from an FGWAS meta–analysis of 34 phenotypes from 17 cohorts. We found evidence that factors uncorrelated with DGEs make substantial contributions to genetic associations for 27 phenotypes, with population stratification confounding — a form of gene–environment correlation — likely the major cause. By estimating SNP heritability and genetic correlations using DGEs, we found evidence that assortative mating has led to overestimation of SNP heritability for 5 phenotypes and overestimation of the degree of shared genetic effects (pleiotropy) between 22 pairs of phenotypes. Polygenic predictors constructed from DGEs are particularly useful for studying natural selection, assortative mating, and indirect genetic effects (effects of relatives′ genes mediated through the family environment). We validate our meta–analysis results by predicting phenotypes in hold–out samples using polygenic predictors constructed from DGEs, achieving statistically significant out–of–sample prediction for 24 phenotypes with little attenuation of predictive power within–families. We provide FGWAS summary statistics for 34 phenotypes that can be used for downstream analyses. Our study provides both a template for performing FGWAS and an argument for its value for debiasing inferences and understanding the impact of environment and mating patterns.


From Happiness Data to Economic Conclusions

May 2024

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15 Reads

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3 Citations

Annual Review of Economics

Happiness data—survey respondents’ self-reported well-being (SWB)—have become increasingly common in economics research, with recent calls to use them in policymaking. Researchers have used SWB data in novel ways—for example, to learn about welfare or preferences when choice data are unavailable or difficult to interpret. Focusing on leading examples of this pioneering research, the first part of this review uses a simple theoretical framework to reverse-engineer some of the crucial assumptions that underlie existing applications. The second part discusses evidence bearing on these assumptions and provides practical advice to the agencies and institutions that generate SWB data, the researchers who use them, and the policymakers who may use the resulting research. While we advocate creative uses of SWB data in economics, we caution that their use in policy will likely require both additional data collection and further research to better understand the data.


Exploring the role of digital tools in rare disease management: An interview-based study

Journal of Genetic Counseling

While digital tools, such as the Internet, smartphones, and social media, are an important part of modern society, little is known about the specific role they play in the healthcare management of individuals and caregivers affected by rare disease. Collectively, rare diseases directly affect up to 10% of the global population, suggesting that a significant number of individuals might benefit from the use of digital tools. The purpose of this qualitative interview‐based study was to explore: (a) the ways in which digital tools help the rare disease community; (b) the healthcare gaps not addressed by current digital tools; and (c) recommended digital tool features. Individuals and caregivers affected by rare disease who were comfortable using a smartphone and at least 18 years old were eligible to participate. We recruited from rare disease organizations using purposive sampling in order to achieve a diverse and information rich sample. Interviews took place over Zoom and reflexive thematic analysis was utilized to conceptualize themes. Eight semistructured interviews took place with four individuals and four caregivers. Three themes were conceptualized which elucidated key aspects of how digital tools were utilized in disease management: (1) digital tools should lessen the burden of managing a rare disease condition; (2) digital tools should foster community building and promote trust; and (3) digital tools should provide trusted and personalized information to understand the condition and what the future may hold. These results suggest that digital tools play a central role in the lives of individuals with rare disease and their caregivers. Digital tools that centralize trustworthy information, and that bring the relevant community together to interact and promote trust are needed. Genetic counselors can consider these ideal attributes of digital tools when providing resources to individuals and caretakers of rare disease.


Overconfidence persists despite years of accurate, precise, public, and continuous feedback: Two studies of tournament chess players

March 2024

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19 Reads

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1 Citation

Overconfidence is thought to be a fundamental cognitive bias, but it is typically studied in environments where people lack accurate information about their abilities. Tournament chess players receive objective, precise, and public feedback, so we conducted a preregistered survey experiment and replication to learn whether overconfidence persists in an environment that should diminish or eradicate it. Our combined sample comprised 3388 rated players aged 5–88 years, from 22 countries, with M=18.8 years of tournament experience. On average, participants asserted their ability was 89 Elo rating points higher than their observed ratings indicated—expecting to outscore an equally-rated opponent by 2:1. One year later, only 11.3% of overconfident players achieved their asserted ability rating. Low-rated players overestimated their skill the most and top-rated players were calibrated. These patterns emerged in every sociodemographic subgroup we considered. We conclude that overconfidence persists even in real-world information environments that should be inhospitable to it.


summarises the results. Occupational and household income produced the most genetic associations (59 and 41 loci, respectively), as expected based on sample sizes and SNP-based heritability estimates based on linkage disequilibrium score
Associations between common genetic variants and income provide insights about the socioeconomic health gradient

January 2024

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191 Reads

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1 Citation

We conducted a genome-wide association study (GWAS) on income among individuals of European descent and leveraged the results to investigate the socio-economic health gradient (N=668,288). We found 162 genomic loci associated with a common genetic factor underlying various income measures, all with small effect sizes. Our GWAS-derived polygenic index captures 1 - 4% of income variance, with only one-fourth attributed to direct genetic effects. A phenome-wide association study using this polygenic index showed reduced risks for a broad spectrum of diseases, including hypertension, obesity, type 2 diabetes, coronary atherosclerosis, depression, asthma, and back pain. The income factor showed a substantial genetic correlation (0.92, s.e. = .006) with educational attainment (EA). Accounting for EA's genetic overlap with income revealed that the remaining genetic signal for higher income related to better mental health but reduced physical health benefits and increased participation in risky behaviours such as drinking and smoking.



Citations (75)


... Height-direct. Tan et al. (2024) carried a family-based GWAS (FGWAS) on 34 phenotypes, including body height. We used the within-family ('direct') beta of 565 independent SNPs significant at p < 5 × 10^-8. ...

Reference:

Directional Selection and Evolution of Polygenic Traits in Eastern Eurasia: Insights from Ancient DNA
Family-GWAS reveals effects of environment and mating on genetic associations

... As a result, assortative mating may induce a genetic correlation between phenotypes that do not share the same causal genetic pathways 26 . Ignoring assortative mating can thus lead to serious biases in estimates of variant effects on complex traits, heritability, and genetic correlation [26][27][28][29][30][31] . However, few studies have explored approaches to remedy these issues to date 32 . ...

Social-Science Genomics: Progress, Challenges, and Future Directions
  • Citing Article
  • January 2024

SSRN Electronic Journal

... Life satisfaction, which is closely related to the slightly more general concept of subjective well-being, has been studied at length in Economics, Management, and Psychology, among other elds. Moreover, this topic appears to be garnering an increasing amount of research attention (Benjamin et al., 2023). Survey questions about life satisfaction, such the NSCW's question displayed in the prior section, ask respondents to subjectively assess their current life-satisfaction level, typically on a Likert scale. ...

From Happiness Data to Economic Conclusions
  • Citing Article
  • May 2024

Annual Review of Economics

... Yet overconfidence is not limited to those with the lowest intelligence as measured by knowledge and skills; it is a pervasive tendency that has been repeatedly demonstrated across decades, populations, and contexts (Fischhoff et al. 1977;Koriat et al. 1980;Loftus and Wagenaar 2014;Svenson 1981). Recently, stubborn overconfidence was found in tournament chess players, despite receiving years of feedback about their chess skills (Heck et al. 2024). Can we really consider all of the people in these examples of overconfidence, including proficient chess players, to be unintelligent? ...

Overconfidence persists despite years of accurate, precise, public, and continuous feedback: Two studies of tournament chess players
  • Citing Preprint
  • March 2024

... In turn, research on educational fields can enrich genomic studies of education and social stratification. Genomic research on attainment (defined simply as the number of years a person spends in education; EA), income 28 and occupational status 29,30 is valuable. However, the focus on these conventional measures of a person's position in a socioeconomic hierarchy, ignores the diversity of preferences, traits, and skills that educational pathways entail. ...

Associations between common genetic variants and income provide insights about the socioeconomic health gradient

... Economists have long been interested in the determinants and consequences of happiness, which plays a key role in maximising utility. Happiness predicts future income and affects labour market performance (Benjamin et al., 2023;De Neve & Oswald, 2012;Piekałkiewicz, 2017). For instance, happiness can enhance productivity at work by up to 12% (Oswald et al., 2015). ...

From Happiness Data to Economic Conclusions
  • Citing Article
  • January 2023

SSRN Electronic Journal

... Examples of such assumptions have included purely additive genetic architectures, random mating, absence of indirect genetic effects, representative sampling, Mendelian randomization's exclusion restriction assumption, and independence of genotypes and effects, among others. Understanding that the progress made possible by such simplifications must be balanced by sensitivity analysis and evaluation of alternative models, recent work has interrogated the consequences of perturbing such assumptions, including non-random mating (1)(2)(3)(4)(5), fine-scale population structure (6,7), participation bias (8,9), indirect genetic effects (10)(11)(12), and non-additivity (13)(14)(15)(16)(17)(18). ...

A General Approach to Adjusting Genetic Studies for Assortative Mating

... Wellbeing frameworks that focus on understanding people's subjective wellbeing are influenced by the approach of 18th-and 19th-century utilitarian philosophers (e.g., Bentham, 1789;Mill, 1879). Subjective wellbeing approaches have been adopted by scholars across several social science and humanities disciplines, including philosophy, psychology, sociology and economics (e.g., Singer, 2011;Pinker, 2018;Diener, 1984;Veenhoven, 2014;Layard, 2011;Helliwell, Layard and Sachs, 2012;Easterlin, 2020;Benjamin et al., 2021). Following the guidance of Stiglitz, Sen and Fitoussi (2009), 7 the OECD (2013) 8 posits three main concepts comprising subjective wellbeing: (positive and negative) affect (referred to as hedonic wellbeing by Stiglitz, Sen and Fitoussi), eudaimonia (psychological flourishing) and evaluative wellbeing (often summarised through a measure of overall life satisfaction). ...

What do Happiness Data Mean? Theory and Survey Evidence
  • Citing Article
  • May 2023

Journal of the European Economic Association

... The findings of our study support recommendations that have been made both in the context of epigenetics and social and behavioral genomics studies in vulnerable populations such as strategies for careful dissemination and community-driven partnerships [8,16,17,44,45], but focus group participants recommended additional actions. Many of the recommendations interconnect and all can be supported by involving members of vulnerable communities in all stages of the research process. ...

Wrestling with Social and Behavioral Genomics: Risks, Potential Benefits, and Ethical Responsibility
  • Citing Article
  • March 2023

The Hastings Center Report