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Related Experiment Videos

The optimal correction for estimating extreme discriminability.

Glenn S Brown1, K Geoffrey White

  • 1Department of Psychology, University of Otago, Dunedin, New Zealand.

Behavior Research Methods
|January 13, 2006
PubMed
Summary

To address infinite discriminability measures like d

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Area of Science:

  • Psychology
  • Psychophysics
  • Signal Detection Theory

Background:

  • Discriminability indices such as d' and log d can yield infinite values with perfect performance, posing challenges in data analysis.
  • Arbitrary corrections are often applied to obtain finite estimates, but their accuracy in reflecting true performance is uncertain.

Purpose of the Study:

  • To evaluate the accuracy of various arbitrary corrections for infinite discriminability measures.
  • To determine the most effective correction method when additional trials are not feasible.

Main Methods:

  • Directly calculated the impact of different correction techniques on the sampling distributions of d' and log d.
  • Compared the performance of arbitrary corrections against the intuitive method of rerunning experimental conditions.

Main Results:

  • Several arbitrary corrections provided more accurate estimates of discriminability than rerunning conditions.
  • Adding a constant correction of 0.25 to 0.5 to all response counts emerged as the superior method.

Conclusions:

  • Arbitrary corrections can be effective for handling infinite discriminability values when more data cannot be collected.
  • A small additive constant (0.25-0.5) to response counts is recommended as a robust correction method.

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