The inbreeding coefficient, which represents the probability that the two alleles at a given locus are identical by descent (i.e., derived from the same ancestral chromosome), was calculated, based on all available genealogical information, by means of PEDIG software.
33 This coefficient was analyzed in quartiles, since its distribution was skewed toward zero.
Other putative covariates of glaucoma pathogenesis that were studied included age, sex, height, body mass index, systolic blood pressure, pulse rate, fasting blood glucose level, blood cholesterol level, IOP, time of IOP measurement, axial length of the eye, spherical equivalent of refractive error, and mean corneal curvature. The glaucoma markers that were studied were IOP, TSNIT average, superior average, inferior average, worst hemifield average, disc area, rim area, superotemporal rim area, inferotemporal rim area, rim-to-disc area ratio, vertical cup-to-disc ratio, and cup shape measure. These markers were based on the eye most representative of glaucoma: the eye with the lower RNFL thickness parameters, rim area parameters, and rim-to-disc area ratio and the eye with the higher IOP, vertical cup-to-disc ratio, and cup shape measurement. We calculated the mean of both eyes for the analyses of disc area. If a measurement could be obtained in only one eye, the parameters of this eye were included in the analyses.
Associations were explored by univariate and multivariate linear regression (SPSS version 11.0 for Windows; SPSS, Chicago, IL). All determinants below the 0.10 significance level in the multivariate analyses were retained in the final model for heritability estimation. The distribution of the multivariate regression residuals in the final model was tested for normality with the nonparametric, one-sample Kolmogorov-Smirnov test. To reduce kurtosis of the distribution in parameters describing RNFL thickness or rim area, we excluded the upper and lower 0.5 percentile values of these traits. We further transformed traits that were skewed using natural logarithm (disc area, rim area), or exponential function (vertical cup-to-disc ratio).
We estimated the heritability by means of a variance component maximum likelihood analysis, as implemented in Solar software (ver. 2.1.2).
34 35 A variance component analysis separates the observed phenotypic variance into components that are attributable to different causes. Heritability describes the relative importance of the component that is attributable to heredity. This component is called the additive genetic variance and represents the cumulative effects of alleles. Heritability can be estimated from the resemblance between family members. We first examined the proportion of the phenotypic variance associated with the covariates. Subsequently, we estimated the proportion of the remaining phenotypic variance explained by additive genetic effects. Finally, the heritability of each glaucoma marker was calculated as the proportion of the total phenotypic variance explained by additive genetic effects. In addition, we investigated the genetic correlation between rim area and disc area with a linear bivariate analysis.