Mathematical Psychology
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SDT in Memory Recognition

SDT models of recognition memory treat old/new discrimination as a signal detection problem, revealing that recognition involves both familiarity (continuous) and recollection (threshold-like) processes.

Recognition memory — judging whether an item was previously studied — is naturally modeled as a signal detection task. Studied ("old") items have higher familiarity than unstudied ("new") items, and the observer sets a criterion on the familiarity axis. SDT analysis separates the ability to discriminate old from new items (d′) from the tendency to say "old" (criterion c).

Key Findings

Recognition Memory SDT zROC slope ≈ 0.80 (unequal variance)
σ_old > σ_new (old items more variable)

d_a recommended over d′ when slope ≠ 1

The most robust finding in recognition memory SDT is that zROC curves are linear with slopes around 0.80, indicating that old-item distributions have about 25% greater variance than new-item distributions. This asymmetry is attributed to encoding variability: some studied items are well-encoded and highly familiar, while others receive poor encoding.

Dual-Process Models

The debate between single-process (pure SDT) and dual-process (familiarity + recollection) models has been a central issue. Yonelinas' dual-process model proposes that recognition combines a continuous familiarity process (modeled by SDT) and a threshold recollection process. The relative contributions of these processes are estimated from ROC curve shape, with recollection producing a threshold-like component and familiarity producing the curvilinear component.

Interactive Calculator

Each row represents a trial: trial_type (signal or noise) and response (yes or no). Computes hit rate, false-alarm rate, d′, criterion c, and β.

Click Calculate to see results, or Animate to watch the statistics update one record at a time.

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References

  1. Yonelinas, A. P. (1994). Receiver-operating characteristics in recognition memory: Evidence for a dual-process model. Journal of Experimental Psychology: Learning, Memory, and Cognition, 20(6), 1341–1354. https://doi.org/10.1037/0278-7393.20.6.1341
  2. Wixted, J. T. (2007). Dual-process theory and signal-detection theory of recognition memory. Psychological Review, 114(1), 152–176. https://doi.org/10.1037/0033-295X.114.1.152
  3. Ratcliff, R., Sheu, C.-F., & Gronlund, S. D. (1992). Testing global memory models using ROC curves. Psychological Review, 99(3), 518–535. https://doi.org/10.1037/0033-295X.99.3.518
  4. Glanzer, M., Kim, K., Hilford, A., & Adams, J. K. (1999). Slope of the receiver-operating characteristic in recognition memory. Journal of Experimental Psychology: Learning, Memory, and Cognition, 25(2), 500–513. https://doi.org/10.1037/0278-7393.25.2.500

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