ABSTRACT
D d (image) In signal detection theory, an effective
signal-to-noise ratio (SNR) that applies only to situations in which the decision variable arises from one of two normal distributions having equal variances, but different means. In such situations, the receiver operating characteristic (ROC) curve is symmetric about the diagonal of the unit square in which it is plotted and is given by the mathematical expression:
TPF Φ(dZFPF),
where Φ represents the cumulative standardnormal distribution function and ZFPF represents the normal deviate that corresponds to the false-positive fraction (see binormal ROC curve).
