University of Washington - Department of Statistics
Genetic linkage between two genome locations is dependence in the inheritance of genome at those locations. This dependence leads to individuals who share a trait of interest having increased probability of sharing genome at locations that are linked to genes that affect the trait. Tests for genetic linkage capitalize on detection of regions of the genome that exhibit this increased sharing among individuals of like trait phenotype. However, genome sharing is unobservable, and in standard testing approaches the uncertainty in latent genome sharing is confounded with strength of the evidence for linkage. Fuzzy p-values have recently been introduced by Geyer and Meeden (2005: in press) in a different context. In the current context, they provide a way to express both the strength of the evidence for linkage and the uncertainty in that evidence. The approach is applicable to any situation where the ideal measure of evidence is a function of unobservable latent variables, provided only realization of these variables conditional on observed data is possible.