Signal detection metrics can be computed as time-varying functions of stimulus onset

Evidence

We computed d’ values to assess the ability to detect changes, while taking their false alarm rate into account. Due to the present task structure, d’ was computed as a function of time from stimulus onset (see Fig. 1e for an illustration), approximated as d’(t) = Z(HR(t)) ‑Z(FAR(t)), where Z(p) is the inverse of the cumulative Gaussian distribution. HR(t) is the hit rate as a function of time t since stimulus onset. Hit rate was computed as the fraction of correct change detections, in relation to the number of trials with changes occurring at t. Similarly, the false alarm rate FAR(t) was computed as the number of false alarms that occurred over all 2 s windows (starting at t), in which no change in statistics occurred. — Dijk, Pim van, Physiology, Psychoacoustics and…, 3317

Categorization

• DEFINE: Defines time-resolved d’(t) as a function of onset-to-change latency using cumulative Gaussian inversion of hit and false-alarm rates.
• XREF: Relates to signal detection theory (SDT) treats sensitivity and bias independently; time-varying extension differs from the usual single-value d’ in detection experiments.