Efficient Moments-Based Permutation Tests: A Framework, Methods and Applications
Zhou, Chunxiao
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https://hdl.handle.net/2142/81153
Description
Title
Efficient Moments-Based Permutation Tests: A Framework, Methods and Applications
Author(s)
Zhou, Chunxiao
Issue Date
2009
Doctoral Committee Chair(s)
Yongmei Michelle Wang
Department of Study
Electrical and Computer Engineering
Discipline
Electrical and Computer Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Biomedical
Language
eng
Abstract
The key and only assumption for permutation tests is data exchangeability. In real applications, the data exchangeability condition is not always valid. In order to preserve the exchangeability condition required in permutation tests, we propose a new blockwise permutation test approach based on the moments of the test statistic. The accuracy and efficiency of the proposed method are demonstrated through simulated experiments and magnetic resonance imaging (MRI) brain data, including the multi-site voxel-based morphometry analysis from structural MRI (sMRI) and activation detection from functional MRI (fMRI).
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