QIMR Logo

QIMR GENROC Calculator

The genetic interpretation of area under the ROC curve in genomic profiling

Naomi R Wray, Jian Yang, Michael E Goddard, Peter M Visscher
PLoS Genetics
In press
Online calculator by Harry Beeby
Please refer to the manuscript to understand this calculator.
Instructions:
  1. To calculate the maximum AUC statistics enter values for disease prevalence and EITHER sibling recurrence risk OR heritability of liability
  2. To calculate the "proportion of..explained" statistics also enter the estimated AUC
Please enter parameters in left column below:           Results:
Disease Prevalence K (<1):         Maximum AUC from a genomic profile that explains all the genetic variance, AUCmax (eq 3):
Either           Maximum AUC from a genomic profile that explains half of the genetic variance, AUChalf:
Sibling recurrence or risk λs (>1):         Maximum AUC from a genomic profile that explains a quarter of the genetic variance, AUCquar:
Or           Maximum AUC from 2 parent family history, AUCFH:2parent (eq S1):
Heritability of liability h 2L (0-1):         Where AUC estimate is provided:
            Proportion of variance explained on the liability scale, h2L[x] (eq 4):
Optional           Proportion of genetic variance explained on the liability scale, ρ2GhatG (eq 5):
Estimated AUC (0.5-1):         Sibling risk explained by genomic profile, λs[x] (uses eq 6):
            Proportion of total sibling risk explained, (λs[x] -1)/(λs - 1):


  Interim Calculations:  
            Threshold T:
            Height of normal curve at T, z:
            Mean liability of diseased group = "selection intensity", i:
            Proportion of sibs affected, KS:
            Threshold for sibs T1 (see eq 1):
            Threshold for sibs on profile, T1[x] (see eq 6):