Binormal model AUC function

Returns the Binormal model ROC-AUC corresponding to specified parameters. See also UtilAnalyticalAucsRSM, UtilAucPROPROC and UtilAucCBM

UtilAucBIN(a, b)

Arguments

a

The a parameter of the binormal model (separation of non-diseased and diseased pdfs)

b

The b parameter of the binormal model (std. dev. of non-diseased diseased pdf; diseased pdf has unit std. dev)

Value

Binormal model-predicted ROC-AUC

References

Dorfman DD, Alf E (1969) Maximum-Likelihood Estimation of Parameters of Signal-Detection Theory and Determination of Confidence Intervals - Rating-Method Data, Journal of Mathematical Psychology. 6:487-496.

Examples

a <- 2;b <- 0.7
UtilAucBIN(a,b)
#> [1] 0.9493375