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Overdispersion in allelic counts and θ-correction in forensic genetics

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  • Tvedebrink, Torben

Abstract

We present a statistical model for incorporating the extra variability in allelic counts due to subpopulation structures. In forensic genetics, this effect is modelled by the identical-by-descent parameter θ, which measures the relationship between pairs of alleles within a population relative to the relationship of alleles between populations (Weir, 2007). In our statistical approach, we demonstrate that θ may be defined as an overdispersion parameter capturing the subpopulation effects. This formulation allows derivation of maximum likelihood estimates of the allele probabilities and θ together with computation of the profile log-likelihood, confidence intervals and hypothesis testing.

Suggested Citation

  • Tvedebrink, Torben, 2010. "Overdispersion in allelic counts and θ-correction in forensic genetics," Theoretical Population Biology, Elsevier, vol. 78(3), pages 200-210.
    • Handle: RePEc:eee:thpobi:v:78:y:2010:i:3:p:200-210
    DOI: 10.1016/j.tpb.2010.07.002
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    References listed on IDEAS

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    1. Torben Tvedebrink & Poul Svante Eriksen & Helle Smidt Mogensen & Niels Morling, 2010. "Evaluating the weight of evidence by using quantitative short tandem repeat data in DNA mixtures," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(5), pages 855-874, November.
    2. Samanta, Suvajit & Li, Yi-Ju & Weir, Bruce S., 2009. "Drawing inferences about the coancestry coefficient," Theoretical Population Biology, Elsevier, vol. 75(4), pages 312-319.
    3. Neerchal, Nagaraj K. & Morel, Jorge G., 2005. "An improved method for the computation of maximum likeliood estimates for multinomial overdispersion models," Computational Statistics & Data Analysis, Elsevier, vol. 49(1), pages 33-43, April.
    4. C. A. Field & A. H. Welsh, 2007. "Bootstrapping clustered data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 69(3), pages 369-390, June.
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