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The expected behaviour of random fields in high dimensions : contradictions in the results of Bansal and Peterson

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Davenport, Samuel and Nichols, Thomas E. (2022) The expected behaviour of random fields in high dimensions : contradictions in the results of Bansal and Peterson. Magnetic Resonance Imaging, 90 . pp. 70-75. doi:10.1016/j.mri.2021.11.010

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  • bioRxiv
  • PubMed Central
Official URL: http://dx.doi.org/10.1016/j.mri.2021.11.010

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Abstract

Bansal and Peterson (2018) found that in simple stationary Gaussian simulations Random Field Theory incorrectly estimates the number of clusters of a Gaussian field that lie above a threshold. Their results contradict the existing literature and appear to have arisen due to errors in their code. Using reproducible code we demonstrate that in their simulations Random Field Theory correctly predicts the expected number of clusters and therefore that many of their results are invalid.

Item Type: Journal Item
Divisions: Faculty of Science, Engineering and Medicine > Science > Statistics
Journal or Publication Title: Magnetic Resonance Imaging
Publisher: Elsevier
ISSN: 0730-725X
Official Date: July 2022
Dates:
DateEvent
July 2022Published
2 May 2022Available
23 November 2021Accepted
21 January 2021Submitted
Volume: 90
Page Range: pp. 70-75
DOI: 10.1016/j.mri.2021.11.010
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: Elsevier
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
100309/Z/12/ZWellcome Trusthttp://dx.doi.org/10.13039/100010269
UNSPECIFIED[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
Open Access Version:
  • bioRxiv
  • PubMed Central

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