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Validating cluster size inference : random field and permutation methods

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Hayasaka, Satoru and Nichols, Thomas E.. (2003) Validating cluster size inference : random field and permutation methods. NeuroImage, Vol.20 (No.4). pp. 2343-2356. ISSN 10538119

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Official URL: http://dx.doi.org/10.1016/j.neuroimage.2003.08.003

Abstract

Cluster size tests used in analyses of brain images can have more sensitivity compared to intensity based tests. The random field (RF) theory has been widely used in implementation of such tests, however the behavior of such tests is not well understood, especially when the RF assumptions are in doubt. In this paper, we carried out a simulation study of cluster size tests under varying smoothness, thresholds, and degrees of freedom, comparing RF performance to that of the permutation test, which is known to be exact. For Gaussian images, we find that the RF methods are generally conservative, especially for low smoothness and low threshold. For t images, the RF tests are found to be conservative at lower thresholds and do not perform well unless the threshold is high and images are sufficiently smooth. The permutation test performs well for any settings though the discreteness in cluster size must be accounted for. We make specific recommendations on when permutation tests are to be preferred to RF tests.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Brain -- Imaging -- Statistical methods, Cluster analysis, Mathematical statistics, Permutations, Random fields
Journal or Publication Title: NeuroImage
Publisher: Elsevier
ISSN: 10538119
Date: 27 October 2003
Volume: Vol.20
Number: No.4
Page Range: pp. 2343-2356
Identification Number: 10.1016/j.neuroimage.2003.08.003
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/38237

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