A generalization of voxel-wise procedures for highdimensional statistical inference using ridge regression



AbstractWhole-brain morphometry denotes a group of methods with the aim of relating clinical and cognitive measurements to regions of the brain. Typically, such methods require the statistical analysis of a data set with many variables (voxels and exogenous variables) paired with few observations (subjects). A common approach to this ill-posed problem is to analyze each spatial variable separately, dividing the analysis into manageable subproblems. A disadvantage of this method is that the correlation structure of the spatial variables is not taken into account. This paper investigates the use of ridge regression to address this issue, allowing for a gradual introduction of correlation information into the model. We make the connections between ridge regression and voxel-wise procedures explicit and discuss relations to other statistical methods. Results are given on an in-vivo data set of deformation based morphometry from a study of cognitive decline in an elderly population.
TypeConference paper [With referee]
ConferenceProceedings of the SPIE, Medical Imaging 2008: Image Processing
Year2008    Vol. 6914
AddressRichard Petersens Plads, Building 321, DK-2800 Kgs. Lyngby
ISBN / ISSNdoi:10.1117/12.770728
BibTeX data [bibtex]
IMM Group(s)Image Analysis & Computer Graphics