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Validating the unequal-variance assumption in recognition memory using response time distributions instead of ROC

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Summary

Recognition memory z-transformed Receiver Operating Characteristic (zROC) functions show less variability for studied items. The diffusion model supports this unequal-variance assumption, offering insights into decision-making processes.

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Area of Science:

  • Cognitive Psychology
  • Computational Neuroscience
  • Psychophysics

Background:

  • Recognition memory z-transformed Receiver Operating Characteristic (zROC) functions consistently exhibit slopes less than 1.
  • This observation is often explained by assuming greater variability in memory evidence for studied (old) items compared to non-studied (new) items.
  • Previous signal detection models incorporated this unequal-variance assumption but could not account for the temporal dynamics of decision-making.

Purpose of the Study:

  • To empirically test the unequal-variance assumption in recognition memory.
  • To evaluate the utility of the diffusion model in capturing between-trial variability in memory evidence.
  • To determine if memory evidence is indeed more variable for targets than lures.

Main Methods:

  • Fitting the diffusion model to accuracy and response time (RT) distributions.
  • Utilizing nine previously published old/new recognition memory datasets (N=376 participants).
  • Analyzing the eta (η) parameter, which quantifies between-trial variability in evidence.

Main Results:

  • Estimates of the eta (η) parameter were consistently higher for targets than lures across all nine datasets.
  • Statistical model comparisons decisively rejected an equal-variance model in favor of an unequal-variance model.
  • Parameter recovery simulations confirmed that observed variability differences were not artifacts of biased estimation.

Conclusions:

  • The diffusion model provides robust support for the unequal-variance assumption in recognition memory.
  • Memory evidence is demonstrably more variable for studied (target) items than non-studied (lure) items.
  • These findings validate the unequal-variance assumption using response time data, independent of zROC analysis.