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December 2013 Maximin and maximin-efficient event-related fMRI designs under a nonlinear model
Ming-Hung Kao, Dibyen Majumdar, Abhyuday Mandal, John Stufken
Ann. Appl. Stat. 7(4): 1940-1959 (December 2013). DOI: 10.1214/13-AOAS658


Previous studies on event-related functional magnetic resonance imaging experimental designs are primarily based on linear models, in which a known shape of the hemodynamic response function (HRF) is assumed. However, the HRF shape is usually uncertain at the design stage. To address this issue, we consider a nonlinear model to accommodate a wide spectrum of feasible HRF shapes, and propose efficient approaches for obtaining maximin and maximin-efficient designs. Our approaches involve a reduction in the parameter space and a search algorithm that helps to efficiently search over a restricted class of designs for good designs. The obtained designs are compared with traditional designs widely used in practice. We also demonstrate the usefulness of our approaches via a motivating example.


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Ming-Hung Kao. Dibyen Majumdar. Abhyuday Mandal. John Stufken. "Maximin and maximin-efficient event-related fMRI designs under a nonlinear model." Ann. Appl. Stat. 7 (4) 1940 - 1959, December 2013.


Published: December 2013
First available in Project Euclid: 23 December 2013

zbMATH: 1283.62158
MathSciNet: MR3161708
Digital Object Identifier: 10.1214/13-AOAS658

Keywords: A-optimality , cyclic permutation , design efficiency , Genetic algorithms , hemodynamic response function , information matrix

Rights: Copyright © 2013 Institute of Mathematical Statistics


Vol.7 • No. 4 • December 2013
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