Signal Detection Theory
d' separates sensitivity from response bias — building the ROC curve
Parameters
d' (sensitivity):
1.50
Criterion c (bias):
0.00
Noise distribution σ:
1.0
Detection Metrics
d' = 1.50
Hit rate P(Y|S)
—
False alarm P(Y|N)
—
d'
—
Beta β (bias)
—
A' (AUC approx)
—
d' = z(Hit) − z(FA). Pure sensitivity measure — unaffected by criterion shift. ROC curve sweeps over all criteria.