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Database Match Probability

Definition

The adjusted probability that a coincidental match to a crime-scene profile exists somewhere in a database, accounting for the number of profiles searched. Calculated as approximately N times the single-comparison random match probability, where N is the database size.

Field
Forensic DNA statistics
Formula
Approximately N x random match probability
N represents
Number of profiles searched in the database
Purpose
Corrects for multiple-comparison search effect

Common questions

Why can't a single-comparison random match probability be quoted directly when a match came from a database search?+

A database search compares one crime-scene profile against many stored profiles simultaneously, so the chance of at least one coincidental match rises with the number of comparisons made, similar to the multiple-testing problem in statistics; using the single-comparison figure without adjustment understates the true probability of a chance match arising from the search itself.

Does a database search producing a hit mean the identification is weaker than a direct suspect comparison?+

The evidential weight is not necessarily weaker, but it must be calculated differently and reported using the database-adjusted probability rather than the single-comparison figure, and courts in several jurisdictions require this distinction to be made explicit in expert testimony to avoid overstating certainty.

Related terms

Base Rate
The prior probability of an event or proposition before specific evidence is considered. In forensic inference, the base rate is the probability...
Bonferroni Correction
A standard adjustment for multiple comparisons: the significance threshold for any individual test is divided by the total number of tests performed,...
Ecological Fallacy
The error of applying a statistical association observed at the population or group level to an individual, without verifying that the individual...
Look-Elsewhere Effect
The inflated apparent significance of a finding that arises when many features, tests, or subsets are examined and only the significant result...
Multiple Comparisons Problem
The inflation of the probability of at least one false-positive result that occurs when many statistical tests or pairwise comparisons are made....

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