In classic twin studies, monozygotic twins share 100% of their genetic backgrounds, while dizygotic twins share only 50%.
19 It is also assumed that common environmental effects are 100% shared by members of both monozygotic and dizygotic pairs.
19 Based on these assumptions, the phenotypic variance is separated into additive genetic (A), common environmental (C), and unshared environmental (E) components. The A components represent the sum effect of all alleles, shared 100% within monozygotic twins and 50% within dizygotic twins. The C components represent environmental influences (e.g., diet and socioeconomic status) that are assumed to be shared 100% within both monozygotic and dizygotic twin pairs. The E components represent environmental exposures (e.g., accident, virus infection) or measurement errors unique to each member of a twin pair. Model fitting was performed using the Mx statistical program (
http://www.vcu.edu/mx). Reduced models were constructed by removing a specific parameter (A, C, or E), and then comparing the result with the full ACE model. Parameters were removed from the full model if the removal did not result in a significant deterioration of the model fit. The model with the lowest Akaike Information Criteria (AIC) was chosen as the best fitting one.
19
We then performed a multivariate genetic model fitting by constructing a Cholesky decomposition model with age correction. Age and the first set of factor loadings (i.e., A1, C1, and E1) have impacts on all the 4 phenotypes (MAP, BMI, retinal arteriolar caliber, and retinal venular caliber). The second set of factor loadings (i.e., A2, C2, and E2) has impacts on MAP, retinal arteriolar caliber, and retinal venular caliber, with the third set (i.e., A3, C3, and E3) on retinal arteriolar caliber and venular caliber, and the final set (i.e., A4, C4, and E4) on retinal venular caliber only. We performed genetic modeling analysis by removing each factor loading from the full Cholesky model, leading to a submodel with fewer parameters. The model with the lowest AIC reflects the best balance between goodness of fit and parsimony. We also performed a power calculation by assuming that there are two phenotypes (for the first phenotype: A1 = 0.50, C1 = 0.05, E1 = 0.45; for the second phenotype: A2 = 0.65, C2 = 0.10, E2 = 0.25). Based on the current sample size, we would have a power of 98% to detect a significant genetic correlation and a power of 20% to detect a significant common environment correlation between the two phenotypes.