Abstract

Continuous mixture interpretation methods that employ probabilistic genotyping to compute the Likelihood Ratio (LR) utilize more information than threshold-based systems. The continuous interpretation schemes described in the literature, however, do not all use the same underlying probabilistic model and standards outlining which probabilistic models may or may not be implemented into casework do not exist; thus, it is the individual forensic laboratory or expert that decides which model and corresponding software program to implement. For countries, such as the United States, with an adversarial legal system, one can envision a scenario where two probabilistic models are used to present the weight of evidence, and two LRs are presented by two experts. Conversely, if no independent review of the evidence is requested, one expert using one model may present one LR as there is no standard or guideline requiring the uncertainty in the LR estimate be presented. The choice of model determines the underlying probability calculation, and changes to it can result in non-negligible differences in the reported LR or corresponding verbal categorization presented to the trier-of-fact. In this paper, we study the impact of model differences on the LR and on the corresponding verbal expression computed using four variants of a continuous mixture interpretation method. The four models were tested five times each on 101, 1-, 2- and 3-person experimental samples with known contributors. For each sample, LRs were computed using the known contributor as the person of interest. In all four models, intra-model variability increased with an increase in the number of contributors and with a decrease in the contributor’s template mass. Inter-model variability in the associated verbal expression of the LR was observed in 32 of the 195 LRs used for comparison. Moreover, in 11 of these profiles there was a change from LR > 1 to LR < 1. These results indicate that modifications to existing continuous models do have the potential to significantly impact the final statistic, justifying the continuation of broad-based, large-scale, independent studies to quantify the limits of reliability and variability of existing forensically relevant systems.

Highlights

  • Within the forensic sciences, the accepted method by which to report the weight of DNA evidence in the courtroom is by presenting Likelihood Ratio (LR), which compares the probability of observing the evidence under two alternative hypotheses [1], and is expressed as: LR 1⁄4 PrðEjHp; IÞ ; PrðEjHd; IÞ where E is the evidence and Hp and Hd are two competing hypotheses, and I is the case or contextual information

  • A 1-person sample resulted in one LR, a 2-person sample resulted in two LRs and a 3-person sample resulted in three LRs

  • We studied the impact on the LR of changing a continuous model by using four different, but closely related variants of a continuous method

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Summary

Introduction

Within the forensic sciences, the accepted method by which to report the weight of DNA evidence in the courtroom is by presenting Likelihood Ratio (LR), which compares the probability of observing the evidence under two alternative hypotheses [1], and is expressed as: LR 1⁄4 PrðEjHp; IÞ ; PrðEjHd; IÞ where E is the evidence and Hp and Hd are two competing hypotheses, and I is the case or contextual information. The numerator is the probability of observing the evidence given the person of interest is a contributor to the item of evidence (the prosecution’s hypothesis, Hp) and the denominator is the probability of observing the evidence given the person of interest did not contribute to the item of evidence (the defense’s hypothesis, Hd). The evidence shows support for the prosecution’s hypotheses if LR > 1, while if LR < 1 the defense’s hypothesis is supported [1]. Continuous LR approaches, unlike binary [7] and semi-continuous methods [8, 9], evaluate most of the quantitative information in the signal. Quantitative probabilistic genotyping methods have been shown to be more robust to small quantities of DNA and have, in general, a greater ability to distinguish donors from non-donors [10, 11]

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