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A Brief Primer on Test Accuracy Statistics and Related Matters

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Abstract

In deciding which instrument to use in making a prediction or classification, forensic psychologists strive to use the most accurate test possible for their purpose. But accuracy in prediction or classification can be measured in many different ways. Choosing the right approach to measuring accuracy requires a basic understanding of various test accuracy statistics including, most fundamentally, sensitivity, specificity, positive predictive power, and negative predictive power. These statistics and their purposes are reviewed, along with related concepts such as base rates, cut scores, and the application of Bayes’ theorem to the use of tests in particular circumstances. The advantages of using ROC (receiver operating characteristics) curves and AUC (area under the curve) statistics in choosing tests are also briefly reviewed.

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Fig. 1

Notes

  1. It would be exactly equal to sensitivity when BR = 0.50 if sensitivity and specificity were the same.

  2. This figure is in line with data from Finkelhor, Hotaling, Lewis, & Smith, 1990, based on a 1985 Los Angeles Times national telephone poll that asked 1145 adult males about their experience of sexual abuse as children.

  3. A statistically sophisticated defense expert may further challenge this figure by calculating that the confidence interval in making predictions for a group of children who exhibit a particular behavior is much narrower than for an individual who exhibits this behavior, but this technical problem is beyond the scope of this primer. Also, of course, the figures tell us nothing about whether the perpetrator, if there was one, was employed at the school.

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Acknowledgments

I would like to thank David L. Streiner for his helpful comments on an earlier draft of this article.

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Correspondence to Robert E. Erard.

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Gerald Young served as Action Editor for this paper

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Erard, R.E. A Brief Primer on Test Accuracy Statistics and Related Matters. Psychol. Inj. and Law 8, 40–45 (2015). https://doi.org/10.1007/s12207-015-9217-3

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