Core Psychophysics

FOUR FOUNDATIONAL FINDINGS IN PERCEPTION & RESPONSE

Signal Detection Theory

c = 1.0d′ = 2.0NoiseSignal+NoiseCRHIT-4-202460.10.20.3Decision VariableProbability DensityNoise N(0,1)Signal N(d′,1)
d′ — Discriminability2.0
Criterion (c) — Response Bias1.0
HIT RATE (H)
92%
MISS RATE
8%
FALSE ALARM (FA)
8%
CORR. REJECTION
92%

Signal Detection Theory separates sensitivity (d′) from response bias (criterion c). A liberal observer (low c) earns more hits but also more false alarms; a conservative observer does the reverse. d′ measures the signal-to-noise gap independently of criterion placement — a key advance over classical threshold theory. Green & Swets (1966) · Macmillan & Creelman (2005)