AUC related statistics for complex genetic diseases.

aAUCmax is the maximum AUC possible based on the genetic epidemiology parameters of disease prevalence (K) and sibling recurrence risk i.e. (λS) when all the known genetic variance is explained by the genomic profile, = 1. bAUChalf is the AUC possible if the variants included in the genomic profile explain half of the known genetic variance i.e., = 0.5. cAUCquar is the AUC possible if the variants included in the genomic profile explain 1/4 of the known genetic variance i.e., = 0.25. d and (λS[x] – 1)/(λS – 1), proportion of sibling risk explained, when the measured AUC for a genomic profile is 0.75.