2001
DOI: 10.1002/1097-0193(200102)12:2<61::aid-hbm1004>3.0.co;2-w
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Colored noise and computational inference in neurophysiological (fMRI) time series analysis: Resampling methods in time and wavelet domains

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Cited by 560 publications
(478 citation statements)
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“…This addresses the problem inherent in the use of the F-statistic that the residual degrees of freedom are often unknown in fMRI time series due to the presence of colored noise in the signal. Following computation of the observed SSQ ratio at each voxel, the data were permuted by the wavelet-based method described and extensively characterized in Bullmore et al, 33 which permits the data-driven calculation of the null distribution of SSQ ratios under the assumption of no experimentally determined response. This distribution can then be used to threshold the activation maps at any desired type I error rate.…”
Section: Discussionmentioning
confidence: 99%
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“…This addresses the problem inherent in the use of the F-statistic that the residual degrees of freedom are often unknown in fMRI time series due to the presence of colored noise in the signal. Following computation of the observed SSQ ratio at each voxel, the data were permuted by the wavelet-based method described and extensively characterized in Bullmore et al, 33 which permits the data-driven calculation of the null distribution of SSQ ratios under the assumption of no experimentally determined response. This distribution can then be used to threshold the activation maps at any desired type I error rate.…”
Section: Discussionmentioning
confidence: 99%
“…The detection of activated regions was extended from voxel to cluster level using the method described in detail by Bullmore et al 33 The observed One patient in non-hoarding OCD group had missing data in the following variables: SI-R, OCI-R washing, OCI-R checking, OCI-R order and STAI-S. Values are given in means (standard deviations) unless otherwise specified.…”
Section: Discussionmentioning
confidence: 99%
“…16 http://go.warwick.ac.uk/tenichols/software/snpm 17 More flexible wavelet decorrelation can whiten better (Bullmore et al, 2001), but can have problems with simple block designs (Friman & Westin, 2005). Also note that a randomized experimental design justifies a randomization test with any data (Raz et al, 2003), though this has limited application.…”
Section: Permutationmentioning
confidence: 99%
“…However, constructing surrogate data by simply permuting the original data will destroy the background correlations in the data which we wish to retain within our null distribution. Bullmore et al (2001) show that resampling the detail coefficients of discrete wavelet transformed data and reconstructing by the inverse discrete wavelet transform preserves much of the correlations of the original data while spatially rearranging the exact correlations. Permuting a subset of the wavelet coefficients corresponding to the intracranial region of the brain allows us to construct surrogate data for which a large portion of the energy of the original data is retained in the intracranial space of the surrogate data .…”
Section: Introductionmentioning
confidence: 99%