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October 1, 2005Law and Human Behavior

Comparing effect sizes in follow-up studies: ROC Area, Cohen's d, and r.

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Authors

MRMarnie E. RiceUniversity of LethbridgeGHGrant T. HarrisNorthumbria Healthcare NHS Foundation Trust

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Overview

Methodological analysis reveals conversion equivalencies among AUC, Cohen's d, and r in follow-up studies, suggesting numeric reporting improves diagnostic evaluation in forensic settings.

Key Points

  • To establish equivalencies among three primary effect size measures—ROC area (AUC), Cohen's d, and Pearson's r—and evaluate their utility in predictive and diagnostic research.
  • Derived mathematical equivalency conversions among AUC, Cohen's d, and r for follow-up study designs.
  • Assessed theoretical and practical constraints of each metric within forensic psychology and psychiatry evaluations.
  • Produced a reference table detailing direct conversions among AUC, Cohen's d, and r.
  • Demonstrated that AUC serves as the preferred index of predictive or diagnostic accuracy in forensic evaluations.
  • Advocated replacing ambiguous verbal effect-size labels with exact numerical values to minimize reporting bias.

Cite This Study

Rice et al. (2005) studied this question.

synapsesocial.com/papers/69d9fbf23e67f8d1386843cdhttps://doi.org/10.1007/s10979-005-6832-7
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