The Open Mathematics, Statistics and Probability Journal

2011, 3 : 7-12
Published online 2011 March 30. DOI: 10.2174/1876527001103010007
Publisher ID: TOSPJ-3-7

On the Informativeness of Dominant and Co-Dominant Genetic Markers for Bayesian Supervised Clustering

Gilles Guillot and Alexandra Carpentier-Skandalis
Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Lyngby, Copenhagen, Denmark.

ABSTRACT

We study the accuracy of a Bayesian supervised method used to cluster individuals into genetically homogeneous groups on the basis of dominant or codominant molecular markers. We provide a formula relating an error criterion to the number of loci used and the number of clusters. This formula is exact and holds for arbitrary number of clusters and markers. Our work suggests that dominant markers studies can achieve an accuracy similar to that of codominant markers studies if the number of markers used in the former is about 1.7 times larger than in the latter.