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Jeffreys Scale

Definition

A logarithmic scale for Bayes factors proposed by Harold Jeffreys in Theory of Probability (1961). Levels run from 'barely worth mentioning' at log10(BF) between 0 and 0.5, through 'substantial', 'strong', and 'very strong', to 'decisive' at log10(BF) greater than 2. Widely referenced in forensic science but rarely applied without modification.

Proposed by
Harold Jeffreys
Source
Theory of Probability (1961)
Metric used
log10 of the Bayes factor
Top category
Decisive, log10(BF) greater than 2
Common use
Forensic likelihood-ratio verbal scales

Common questions

How does the Jeffreys scale differ from verbal scales used in forensic labs, such as ENFSI's?+

Forensic verbal scales are usually adapted from Jeffreys' original bands rather than copied directly, with different thresholds and wording chosen to fit the type of evidence being reported.

Why do critics warn against applying the Jeffreys scale directly in court?+

It was designed as a general statistical convention, not for forensic evidence evaluation, so translating a Bayes factor into a verbal label for a jury risks implying more precision or certainty than the underlying data supports.

Related terms

ENFSI Guideline
The European Network of Forensic Science Institutes Guideline for Evaluative Reporting in Forensic Science (2015, updated 2016). It defines the propositions framework,...
Likelihood Ratio (LR)
The ratio of two conditional probabilities: the probability of the observed evidence given the prosecution's hypothesis (same source), divided by the probability...
Log10(LR)
The base-10 logarithm of the likelihood ratio, sometimes called the weight of evidence (following I.J. Good). A log10(LR) of 1 corresponds to...
Transposition Fallacy
The error of treating the probability of the evidence given a hypothesis as though it were the probability of the hypothesis given...
Verbal Equivalence Scale
A table that assigns a verbal phrase to a range of LR values or log10(LR) values. The phrase is used in written...

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