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December 2015 Optimal experimental designs for fMRI via circulant biased weighing designs
Ching-Shui Cheng, Ming-Hung Kao
Ann. Statist. 43(6): 2565-2587 (December 2015). DOI: 10.1214/15-AOS1352


Functional magnetic resonance imaging (fMRI) technology is popularly used in many fields for studying how the brain reacts to mental stimuli. The identification of optimal fMRI experimental designs is crucial for rendering precise statistical inference on brain functions, but research on this topic is very lacking. We develop a general theory to guide the selection of fMRI designs for estimating a hemodynamic response function (HRF) that models the effect over time of the mental stimulus, and for studying the comparison of two HRFs. We provide a useful connection between fMRI designs and circulant biased weighing designs, establish the statistical optimality of some well-known fMRI designs and identify several new classes of fMRI designs. Construction methods of high-quality fMRI designs are also given.


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Ching-Shui Cheng. Ming-Hung Kao. "Optimal experimental designs for fMRI via circulant biased weighing designs." Ann. Statist. 43 (6) 2565 - 2587, December 2015.


Received: 1 December 2014; Revised: 1 June 2015; Published: December 2015
First available in Project Euclid: 7 October 2015

zbMATH: 1331.62381
MathSciNet: MR3405604
Digital Object Identifier: 10.1214/15-AOS1352

Primary: 62K05

Keywords: $m$-sequence , Circulant orthogonal array , design efficiency , Hadamard matrix , hemodynamic response function

Rights: Copyright © 2015 Institute of Mathematical Statistics


Vol.43 • No. 6 • December 2015
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