The results were analyzed using Student’s
t-test or the Mann-Whitney test (two-sided), linear regression (least square), and correlation analysis (Pearson’s correlation coefficient). The proportion of total variation attributable to genetic factors is expressed as heritability (h
2), which is twice the difference in interclass correlation (
r) between MZ and DZ twins
19 \[\mathrm{h}^{2}\ {=}\ 2\ (r_{\mathrm{mz}}\ {-}\ r_{\mathrm{dz}})\]
where
r is defined as
\[r\ {=}\ \mathrm{covar}_{\mathrm{(twinA,twinB)}}/\ {\surd}(\mathrm{var}_{\mathrm{(twinA)}}\ {\times}\ \mathrm{var}_{\mathrm{(twinB)}})\]
covar meaning covariance and var variance.
20 Within a twin pair, the A and B status was randomly chosen. To obtain a symmetric distribution around the identity line, both of the two coordinates A,B and B,A for any one pair of twins was used in the correlation analysis. The 95%-confidence interval (ci
95) of the heritability is calculated as
\[\mathrm{ci}_{95}\ {=}\ \mathrm{h}^{2}\ {\pm}\ 2\ {\times}\ {\sigma}_{t}\]
where σ
t is the SE of the heritability,
21 which is calculated as
\[{\sigma}_{t}\ {=}\ {\{}2{[}1\ {+}\ (n\ {-}\ 1)t{]}^{2}\ {\times}\ (1\ {-}\ t)^{2}/n(n\ {-}\ 1)(N\ {-}\ 1){\}}^{1/2}\]
where
n is the number of offspring per family (
n = 2) and
t is 1/2h
2.
N is twice the number of families (100) because h
2 is calculated using both of the two coordinates A,B and B,A for any one pair of twins.
The sample size did not allow a more differentiated analysis of the genetic and environmental effects by structural equation modeling.
22 Data analysis was made using R computer software version 1.2.3 (http://www.r-project.org).