Functional Magnetic Resonance Imaging (fMRI) is a technique that allows the study of sensory, motor, and cognitive functions of the brain. This thesis deals with the development of methods for the analysis of fMRI data: two major aspects of data analysis represented by confirmatory, or hypothesis driven, and exploratory, or data driven, approaches are taken into account. Within the hypothesis driven approaches, two mixed effects models were evaluated: the first uses an expectation maximization algorithm, for the simultaneous estimation of first and second level parameters of the model. The second employs a two stage procedure for estimating separately subjects and group related parameters. The two methods gave similar results on simulated d...