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DNA database matches: A p versus np problem.

R W J Meester1, K Slooten2

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PubMed
Summary

The evidential value of DNA database matches is clarified. This study explains when to use likelihood ratios 1/p or 1/(np) based on the specific case context, not just mathematics.

Keywords:
Criminal caseworkDNA databaseDatabase controversyEvidential valueLikelihood ratio

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Area of Science:

  • Forensic Science
  • Probability Theory
  • Statistical Inference

Background:

  • The evidential weight of unique DNA database matches is debated.
  • Mathematical frameworks exist, but practical application in choosing likelihood ratios (1/p vs. 1/(np)) remains unclear.

Purpose of the Study:

  • To clarify the selection of likelihood ratios in DNA database searches.
  • To provide a general framework for calculating posterior odds applicable to various search scenarios.
  • To guide the choice between 1/p and 1/(np) likelihood ratios based on case specifics.

Main Methods:

  • Derivation of posterior odds in a general form, independent of premature model or prior probability assumptions.
  • Identification of three essential probabilities: match, database, and individual.
  • Analysis of how these probabilities vary based on search context (suspect-centered vs. database-centered, information availability).

Main Results:

  • The choice between 1/p and 1/(np) likelihood ratios is context-dependent, not mathematically dictated.
  • A general method is presented to evaluate required probabilities for diverse DNA database search circumstances.
  • Guidance is offered on selecting the most appropriate likelihood ratio (1/p or 1/(np)) for specific forensic cases.

Conclusions:

  • The selection of likelihood ratios in DNA evidence interpretation depends on the specific forensic context and the question being asked.
  • This work provides a unified approach to evaluating DNA match evidence, enhancing clarity in forensic science.
  • Understanding the nuances of database searches is crucial for accurate evidential reporting.