Contrastes de Hipótesis Múltiples Bajo Dependencia con Aplicación a los Microarraysuna Aproximación Bayesiana

Zusammenfassung

Many experiments require the simultaneous testing of a large number of hypotheses. An example of this, are the experiments with DNA microarrays in the field of genomics, where it is usual to simultaneously analyze a large number of genes in order to identify which of them are differentially expressed under two experimental conditions. One of the problems that arise in this context, in addition to the need to simultaneously test a large number of hypotheses, one for each gene, is how to model the dependence that usually exists in the level of expression between genes. The literature on the matter is extensive. However, the proposed procedures, most from a frequentist point of view and under the assumption of independence, do not usually solve the problems raised above.The main objective of this thesis is the identification of genes with differential expression in two different and independent treatment conditions by considering the dependence on the expression level of the genes. To achieve this goal, a Bayesian procedure is proposed in which the dependency is modelled using copula functions...