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August 2008 Semiparametric detection of significant activation for brain fMRI
Chunming Zhang, Tao Yu
Ann. Statist. 36(4): 1693-1725 (August 2008). DOI: 10.1214/07-AOS519

Abstract

Functional magnetic resonance imaging (fMRI) aims to locate activated regions in human brains when specific tasks are performed. The conventional tool for analyzing fMRI data applies some variant of the linear model, which is restrictive in modeling assumptions. To yield more accurate prediction of the time-course behavior of neuronal responses, the semiparametric inference for the underlying hemodynamic response function is developed to identify significantly activated voxels. Under mild regularity conditions, we demonstrate that a class of the proposed semiparametric test statistics, based on the local linear estimation technique, follow χ2 distributions under null hypotheses for a number of useful hypotheses. Furthermore, the asymptotic power functions of the constructed tests are derived under the fixed and contiguous alternatives. Simulation evaluations and real fMRI data application suggest that the semiparametric inference procedure provides more efficient detection of activated brain areas than the popular imaging analysis tools AFNI and FSL.

Citation

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Chunming Zhang. Tao Yu. "Semiparametric detection of significant activation for brain fMRI." Ann. Statist. 36 (4) 1693 - 1725, August 2008. https://doi.org/10.1214/07-AOS519

Information

Published: August 2008
First available in Project Euclid: 16 July 2008

zbMATH: 1142.62026
MathSciNet: MR2435453
Digital Object Identifier: 10.1214/07-AOS519

Subjects:
Primary: 62G08 , 62G10
Secondary: 62F30 , 65F50

Keywords: Deconvolution , local polynomial regression , Nonparametric test , spatio-temporal data , stimuli , time resolution

Rights: Copyright © 2008 Institute of Mathematical Statistics

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Vol.36 • No. 4 • August 2008
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