title: Exact computation of the distribution of likelihood ratios with forensic applications.
abstract: If complex DNA profiles, conditioned on multiple individuals are evaluated, it may be difficult to assess the strength of the evidence based on the likelihood ratio. A likelihood ratio does not give information about the relative weights that are provided by separate contributors. Alternatively, the observed likelihood ratio can be evaluated with respect to the distribution of the likelihood ratio under the defense hypothesis. We present an efficient algorithm to compute an exact distribution of likelihood ratios that can be applied to any LR-based model. The distribution may have several applications, but is used here to compute a p-value that corresponds to the observed likelihood ratio. The p-value is the probability that a profile under the defense hypothesis, substituted for a questioned contributor e.g. suspect, would attain a likelihood ratio which is at least the same magnitude as that observed. The p-value can be thought of as a scaled version of the likelihood ratio, giving a quantitative measure of the strength of the evidence relative to the specified hypotheses and the model used for the analysis. The algorithm is demonstrated on examples based on real data. R code for the algorithm is freely available in the R package euroMix.
authors: Department of Chemistry, Biotechnology and Food Science, Norwegian University of Life Sciences (UMB), Norway. Electronic address: guro.dorum@nmbu.no.
authors: Guro
authors: G
authors: Dørum
authors: Department of Forensic Genetics, Norwegian Institute of Public Health, Oslo, Norway.
authors: Øyvind
authors: Ø
authors: Bleka
authors: Department of Forensic Genetics, Norwegian Institute of Public Health, Oslo, Norway; Rikshospitalet, University of Oslo, Oslo, Norway.
authors: Peter
authors: P
authors: Gill
authors: Netherlands Forensic Institute, Department of Human Biological Traces, The Hague, The Netherlands.
authors: Hinda
authors: H
authors: Haned
authors: Department of Chemistry, Biotechnology and Food Science, Norwegian University of Life Sciences (UMB), Norway.
authors: Lars
authors: L
authors: Snipen
authors: Department of Chemistry, Biotechnology and Food Science, Norwegian University of Life Sciences (UMB), Norway.
authors: Solve
authors: S
authors: Sæbø
authors: Department of Chemistry, Biotechnology and Food Science, Norwegian University of Life Sciences (UMB), Norway; Department of Forensic Genetics, Norwegian Institute of Public Health, Oslo, Norway.
authors: Thore
authors: T
authors: Egeland
mesh_terms: D000465:Algorithms; D016172:DNA Fingerprinting; D005787:Gene Frequency; D005838:Genotype; D006801:Humans; D016013:Likelihood Functions; D008957:Models, Genetic
keywords: Complex mixtures; Distribution of likelihood ratios; Likelihood ratios; p-Values