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Permutation inference for the general linear model
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Winkler, Anderson M., Ridgway, Gerard R., Webster, Matthew A., Smith, Stephen M. and Nichols, Thomas E. (2014) Permutation inference for the general linear model. NeuroImage, Volume 2 . pp. 381-397. doi:10.1016/j.neuroimage.2014.01.060 ISSN 1053-8119.
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Official URL: http://dx.doi.org/10.1016/j.neuroimage.2014.01.060
Abstract
Permutation methods can provide exact control of false positives and allow the use of non-standard statistics, making only weak assumptions about the data. With the availability of fast and inexpensive computing, their main limitation would be some lack of flexibility to work with arbitrary experimental designs. In this paper we report on results on approximate permutation methods that are more flexible with respect to the experimental design and nuisance variables, and conduct detailed simulations to identify the best method for settings that are typical for imaging research scenarios. We present a generic framework for permutation inference for complex general linear models (glms) when the errors are exchangeable and/or have a symmetric distribution, and show that, even in the presence of nuisance effects, these permutation inferences are powerful while providing excellent control of false positives in a wide range of common and relevant imaging research scenarios. We also demonstrate how the inference on glm parameters, originally intended for independent data, can be used in certain special but useful cases in which independence is violated. Detailed examples of common neuroimaging applications are provided, as well as a complete algorithm – the “randomise” algorithm – for permutation inference with the glm.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics R Medicine > R Medicine (General) |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) |
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| Library of Congress Subject Headings (LCSH): | Permutations, Linear models (Statistics), Imaging systems in medicine -- Research | ||||||||
| Journal or Publication Title: | NeuroImage | ||||||||
| Publisher: | Elsevier | ||||||||
| ISSN: | 1053-8119 | ||||||||
| Official Date: | 15 May 2014 | ||||||||
| Dates: |
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| Volume: | Volume 2 | ||||||||
| Page Range: | pp. 381-397 | ||||||||
| DOI: | 10.1016/j.neuroimage.2014.01.060 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 28 December 2015 | ||||||||
| Date of first compliant Open Access: | 28 December 2015 |
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