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In some ways the Bayesian framework is ideal for the analysis of functional MRI data. As we have seen in previous chapters, the data are often described in a hierarchical manner, with voxel-level models being embedded in subject- level models, which in turn may be nested in a group-level model. The hier- archical nature of the standard general linear model approach fits well into the Bayesian setting (Friston et al., 2002). Spatiotemporal models are an- other class that well describe functional neuroimaging data, and these too lend themselves quite naturally to a Bayesian analysis. Indeed, in Chapter 6 we saw several examples of Bayesian spatial or spatiotemporal analyses (for example, G¨ ossl et al. 2000; Hartvig and Jensen 2000; G¨ ossl et al. 2001; Smith et al. 2003). In addition, the basis function approaches that incor- porate anatomical information, as discussed in Section 8.2, have a distinctly Bayesian “flavor” even if they aren’t explicitly Bayes methods. The well-known criticisms of classical significance testing – the non- intuitive meaning of a p-value, the lack of symmetry between the null and alternative hypotheses (such that the null can never be accepted), increas- ing sensitivity with sample size so that a “statistically
Published: Jun 7, 2008
Keywords: Bayesian Method; fMRI Data; Reversible Jump; Marked Point Process; fMRI Data Analysis
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