Mathematical Psychology
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SDT in Eyewitness Identification

SDT provides a rigorous framework for analyzing eyewitness lineup decisions, separating a witness's ability to discriminate guilty from innocent suspects from their willingness to make an identification.

Eyewitness identification from lineups is fundamentally a signal detection task: the witness must discriminate between lineups containing the guilty suspect (target-present) and lineups where the suspect is innocent (target-absent). SDT analysis reveals that identification accuracy depends on both discriminability (the witness's memory strength) and criterion (their willingness to identify someone).

Diagnosticity and ROC Analysis

Eyewitness SDT Diagnosticity ratio = P(ID | target-present) / P(ID | target-absent)
This ratio varies with criterion — not a pure measure of accuracy

ROC analysis: plot correct ID rate vs. false ID rate
AUC provides criterion-free accuracy measure

Traditional eyewitness research used diagnosticity ratios or individual hit/false alarm rates, which confound sensitivity and criterion. ROC analysis, advocated by Wixted and Mickes (2012), provides criterion-free accuracy measures that allow fair comparison of lineup procedures (simultaneous vs. sequential, different lineup sizes, and different instructions).

Policy Implications

SDT analysis has changed conclusions about lineup procedures. Sequential lineups, once thought to be more accurate than simultaneous lineups based on lower false identification rates, actually show similar or lower ROC performance — the apparent advantage was a criterion shift (more conservative responding) rather than improved discrimination. This finding has had direct implications for police lineup policy recommendations.

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.

Related Topics

References

  1. Wixted, J. T., & Mickes, L. (2012). The field of eyewitness memory should abandon probative value and embrace receiver operating characteristic analysis. Perspectives on Psychological Science, 7(3), 275–278. https://doi.org/10.1177/1745691612442906
  2. Gronlund, S. D., Wixted, J. T., & Mickes, L. (2014). Evaluating eyewitness identification procedures using receiver operating characteristic analysis. Current Directions in Psychological Science, 23(1), 3–10. https://doi.org/10.1177/0963721413498891
  3. Wells, G. L., & Lindsay, R. C. L. (1980). On estimating the diagnosticity of eyewitness nonidentifications. Psychological Bulletin, 88(3), 776–784. https://doi.org/10.1037/0033-2909.88.3.776
  4. Clark, S. E. (2012). Costs and benefits of eyewitness identification reform: Psychological science and public policy. Perspectives on Psychological Science, 7(3), 238–259. https://doi.org/10.1177/1745691612439584

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