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The mirror effect and mixture signal detection theory.

Lawrence T DeCarlo1

  • 1Department of Human Development, Teachers College, Columbia University, New York, NY 10027, USA. decarlo@tc.edu

Journal of Experimental Psychology. Learning, Memory, and Cognition
|January 5, 2007
PubMed
Summary

The mirror effect in word frequency shows low-frequency words are easier to detect. Conventional signal detection theory (SDT) explains this, but mixture SDT suggests underlying distributions may differ.

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Area of Science:

  • Cognitive Psychology
  • Psycholinguistics
  • Memory Research

Background:

  • The mirror effect demonstrates that low-frequency words yield higher hit rates and lower false alarm rates compared to high-frequency words.
  • This phenomenon is traditionally explained using conventional signal detection theory (SDT).

Purpose of the Study:

  • To investigate the implications of mixture signal detection theory (SDT) on the interpretation of the mirror effect.
  • To determine if the order of underlying distributions aligns with observed hit and false alarm rates under mixture SDT.

Main Methods:

  • Analysis of data from four experiments examining word frequency effects on recognition memory.
  • Fitting mixture signal detection theory (SDT) models to the experimental data.

Main Results:

  • Conventional signal detection theory (SDT) suggests mirroring between old and new item distributions based on hit and false alarm rates.
  • Fits of mixture SDT models to the experimental data did not reveal a reversal in the underlying distributions.

Conclusions:

  • The mirror effect's interpretation may require considering mixture SDT, which accounts for potential mixing effects.
  • Empirical data from four experiments did not support a reversal in underlying distributions when analyzed with mixture SDT models.