Testing for spatial heterogeneity in functional MRI using the multivariate general linear model
Leech, Robert, Dr. and Leech, Dennis (2010) Testing for spatial heterogeneity in functional MRI using the multivariate general linear model. Working Paper. Coventry: University of Warwick. Dept. of Economics. (Warwick economics research paper series (TWERPS)).
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Much current research in functional MRI employs multivariate machine learning approaches (e.g., support vector machines) to detect fine-scale spatial patterns from the temporal fluctuations of the neural signal. The aim of many studies is not classification, however, but investigation of multivariate spatial patterns, which pattern classifiers detect only indirectly. Here we propose a direct statistical measure for the existence of fine-scale spatial patterns (or spatial heterogeneity) applicable for fMRI datasets. We extend the univariate general linear model (typically used in fMRI analysis) to a multivariate case. We demonstrate that contrasting maximum likelihood estimations of different restrictions on this multivariate model can be used to estimate the extent of spatial heterogeneity in fMRI data. Under asymptotic assumptions inference can be made with reference to the X2 distribution. The test statistic is then assessed using simulated timecourses derived from real fMRI data. This demonstrates the utility of the proposed measure of heterogeneity as well as considerations in its application. Measuring spatial heterogeneity in fMRI has important theoretical implications in its own right and has potential uses for better characterising neurological conditions such as stroke and Alzheimer’s disease.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||R Medicine > R Medicine (General)
Q Science > QA Mathematics
|Divisions:||Faculty of Social Sciences > Economics|
|Library of Congress Subject Headings (LCSH):||Magnetic resonance imaging -- Statistical methods, Linear models (Statistics)|
|Series Name:||Warwick economics research paper series (TWERPS)|
|Publisher:||University of Warwick. Dept. of Economics|
|Place of Publication:||Coventry|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
|Version or Related Resource:||Leech, R. and Leech, D. (2011). Testing for spatial heterogeneity in functional MRI using the multivariate general linear model. IEEE Transactions on Medical Imaging, 30(6), pp. 1293-1302. http://wrap.warwick.ac.uk/id/eprint/41341|
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