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Tippett Plot

Definition

A calibration diagnostic plot that shows the cumulative distributions of LR values calculated for known same-source pairs and known different-source pairs. Well-calibrated systems show the two curves diverging strongly; overlapping curves indicate poor discrimination.

Type
Calibration diagnostic plot for likelihood ratio systems
Curve 1
LR distribution for known same-source pairs
Curve 2
LR distribution for known different-source pairs
Well-calibrated result
Curves diverge strongly rather than overlap

Common questions

What does it mean if the two curves on a Tippett plot overlap heavily?+

Heavy overlap means the system's likelihood ratios do not reliably separate true same-source comparisons from true different-source comparisons, so a given LR value from casework carries less discriminating power than a wider-separated pair of curves would give.

Who uses a Tippett plot and when?+

It is used during validation of a likelihood-ratio method, such as a geological or trace-evidence comparison system, before that method is relied on in casework, to demonstrate the system's real-world discrimination performance rather than just its theoretical design.

Related terms

Between-Source Variation
The variation observed among samples from different locations in the reference population. Used to estimate the probability of the observed similarity under...
Denominator Hypothesis
The defence hypothesis under which the LR denominator is calculated. Typically: the questioned sample comes from some other location within the relevant...
ENFSI Verbal Scale
A standardised table published by the European Network of Forensic Science Institutes that maps ranges of LR values to verbal expressions of...
Numerator Hypothesis
The prosecution hypothesis under which the LR numerator is calculated. In a source comparison it is typically: the questioned sample and the...
Within-Source Variation
The natural variation observed among multiple samples collected from a single source location. Used to estimate the probability of the observed difference...

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