Events
Warwick Oxford Joint Seminar (at Warwick)
Oxford-Warwick Joint Seminar (2 talks)
Speaker 1: Andrew Stuart (University of Warwick)
Title: MCMC in High Dimensions
2. Tom Nichols (University of Warwick and University of Oxford)
A Hierarchical Spatial Bayesian Model for Multisubject Functional MRI Data
Standard practice in Functional Magnetic Resonance Imaging (fMRI) is to use a 'mass-univariate' model, where linear models are fit independently at each spatial location. A fundamental assumption of this approach is that the image data has been spatially warped so that anatomy of each subject's brain aligns. In practice, even after the best anatomical warping, practitioners find that individual subjects have activations in different locations (though still in the same general anatomic area). Within the mass-univariate framework the only recourse is to spatially smooth the data, causing the effects to be blurred out and allowing areas of common activation to be detected. Our approach is to fit a Bayesian hierarchical spatial model to the unsmoothed data. We model each subject's data with individual activation centres which are assumed to cluster about population centres. Our model thus allows and explicitly estimates intersubject heterogeneity in location and yet also makes precise inferences on the activation location in the population. We demonstrate the method on simulated and real data of a visual working memory experiment.
[joint with Lei Xu, Department of Biostatistics, Vanderbilt University, and Timothy Johnson, Department of Biostatistics, University of Michigan.]