Likelihood ratio testing for admixture models with application to genetic linkage analysis.

ABSTRACT: We consider likelihood ratio tests (LRT) and their modifications for homogeneity in admixture models. The admixture model is a two-component mixture model, where one component is indexed by an unknown parameter while the parameter value for the other component is known. This model is widely used in genetic linkage analysis under heterogeneity in which the kernel distribution is binomial. For such models, it is long recognized that testing for homogeneity is nonstandard, and the LRT statistic does not converge to a conventional χ(2)  distribution. In this article, we investigate the asymptotic behavior of the LRT for general admixture models and show that its limiting distribution is equivalent to the supremum of a squared Gaussian process. We also discuss the connection and comparison betw

SUBMITTER: Di CZ 

PROVIDER: S-EPMC3120934 | biostudies-literature | 2011 Dec

REPOSITORIES: biostudies-literature