Bayesian non-parametric conditional copula estimation of twin data

Several studies on heritability in twins aim at understanding the different contribution of environmental and genetic factors to specific traits. Considering the national merit twin study, our purpose is to analyse correctly the influence of socio-economic status on the relationship between twins�...

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Bibliographic Details
Published in:Journal of the Royal Statistical Society Series C: Applied Statistics 2018-04, Vol.67 (3), p.523-548
Main Authors: Valle, Luciana Dalla, Leisen, Fabrizio, Rossini, Luca
Format: Article
Language:English
Subjects:
Bayesian analysis
Bayesian non‐parametrics
Cognitive ability
Conditional copula models
Density
Economic analysis
Economic status
Environmental aspects
Heritability
National merit twin study
Nonparametric statistics
Slice sampling
Social science
Twin studies
Twins
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Summary:Several studies on heritability in twins aim at understanding the different contribution of environmental and genetic factors to specific traits. Considering the national merit twin study, our purpose is to analyse correctly the influence of socio-economic status on the relationship between twins' cognitive abilities. Our methodology is based on conditional copulas, which enable us to model the effect of a covariate driving the strength of dependence between the main variables. We propose a flexible Bayesian non-parametric approach for the estimation of conditional copulas, which can model any conditional copula density. Our methodology extends the work of Wu, Wang and Walker in 2015 by introducing dependence from a covariate in an infinite mixture model. Our results suggest that environmental factors are more influential in families with lower socio-economic position.
ISSN:0035-9254
1467-9876
DOI:10.1111/rssc.12237