Compound and Conditioned Likelihood Ratio Behavior within a Probabilistic Genotyping Context

In cases where multiple questioned individuals are separately supported as contributors to a mixed DNA profile, guidance documents recommend performing a comparison to see if there is support for their joint contribution. Anecdotal observations suggest the summed log of the individual likelihood rat...

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Main Authors: Kyle Duke, Daniela Cuenca, Steven Myers, Jeanette Wallin
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Genes
Subjects:
Online Access:https://www.mdpi.com/2073-4425/13/11/2031
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author Kyle Duke
Daniela Cuenca
Steven Myers
Jeanette Wallin
author_facet Kyle Duke
Daniela Cuenca
Steven Myers
Jeanette Wallin
author_sort Kyle Duke
collection DOAJ
description In cases where multiple questioned individuals are separately supported as contributors to a mixed DNA profile, guidance documents recommend performing a comparison to see if there is support for their joint contribution. Anecdotal observations suggest the summed log of the individual likelihood ratios (LR), termed the simple LR product, should be roughly equivalent to or less than the log(LR) for the joint likelihood ratio, termed the compound LR. To assist casework analysts in evaluating statistical weights applied to a case at hand, this study assessed how consistently compound LRs conform to an additive behavior when compared to the simple LR product counterparts. Two-, three-, and four-person DNA mixture data, of various mixture proportions and DNA inputs, were interpreted by STRmix<sup>®</sup> version 2.8 Probabilistic Genotyping Software. Relative magnitudes of LR increases were found to be dependent on both template level and mixture composition. The distribution of log(LR) differences between all compound/simple LR comparisons was ~−2.7 to ~28.3. This level of information gain was similar to that for compound LR comparisons, with and without interpretation conditioning (~−3.2 to ~27.7). In both scenarios, the probability density peaked at approximately 0.5, indicating the information gain from constrained genotype combinations has a comparable impact on the outcome of LR calculations whether the restriction is applied before or after interpretation.
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spelling doaj.art-40b148c1480d43199c8437f0852cbc1b2023-11-24T04:48:41ZengMDPI AGGenes2073-44252022-11-011311203110.3390/genes13112031Compound and Conditioned Likelihood Ratio Behavior within a Probabilistic Genotyping ContextKyle Duke0Daniela Cuenca1Steven Myers2Jeanette Wallin3California Department of Justice, Richmond, CA 94804, USACalifornia Department of Justice, Richmond, CA 94804, USACalifornia Department of Justice, Richmond, CA 94804, USACalifornia Department of Justice, Richmond, CA 94804, USAIn cases where multiple questioned individuals are separately supported as contributors to a mixed DNA profile, guidance documents recommend performing a comparison to see if there is support for their joint contribution. Anecdotal observations suggest the summed log of the individual likelihood ratios (LR), termed the simple LR product, should be roughly equivalent to or less than the log(LR) for the joint likelihood ratio, termed the compound LR. To assist casework analysts in evaluating statistical weights applied to a case at hand, this study assessed how consistently compound LRs conform to an additive behavior when compared to the simple LR product counterparts. Two-, three-, and four-person DNA mixture data, of various mixture proportions and DNA inputs, were interpreted by STRmix<sup>®</sup> version 2.8 Probabilistic Genotyping Software. Relative magnitudes of LR increases were found to be dependent on both template level and mixture composition. The distribution of log(LR) differences between all compound/simple LR comparisons was ~−2.7 to ~28.3. This level of information gain was similar to that for compound LR comparisons, with and without interpretation conditioning (~−3.2 to ~27.7). In both scenarios, the probability density peaked at approximately 0.5, indicating the information gain from constrained genotype combinations has a comparable impact on the outcome of LR calculations whether the restriction is applied before or after interpretation.https://www.mdpi.com/2073-4425/13/11/2031likelihood ratiosub-source propositionsconditioningcompound LRadditive behavior
spellingShingle Kyle Duke
Daniela Cuenca
Steven Myers
Jeanette Wallin
Compound and Conditioned Likelihood Ratio Behavior within a Probabilistic Genotyping Context
Genes
likelihood ratio
sub-source propositions
conditioning
compound LR
additive behavior
title Compound and Conditioned Likelihood Ratio Behavior within a Probabilistic Genotyping Context
title_full Compound and Conditioned Likelihood Ratio Behavior within a Probabilistic Genotyping Context
title_fullStr Compound and Conditioned Likelihood Ratio Behavior within a Probabilistic Genotyping Context
title_full_unstemmed Compound and Conditioned Likelihood Ratio Behavior within a Probabilistic Genotyping Context
title_short Compound and Conditioned Likelihood Ratio Behavior within a Probabilistic Genotyping Context
title_sort compound and conditioned likelihood ratio behavior within a probabilistic genotyping context
topic likelihood ratio
sub-source propositions
conditioning
compound LR
additive behavior
url https://www.mdpi.com/2073-4425/13/11/2031
work_keys_str_mv AT kyleduke compoundandconditionedlikelihoodratiobehaviorwithinaprobabilisticgenotypingcontext
AT danielacuenca compoundandconditionedlikelihoodratiobehaviorwithinaprobabilisticgenotypingcontext
AT stevenmyers compoundandconditionedlikelihoodratiobehaviorwithinaprobabilisticgenotypingcontext
AT jeanettewallin compoundandconditionedlikelihoodratiobehaviorwithinaprobabilisticgenotypingcontext