Rapid Acceleration of the Permutation Test via Transpositions

  • Moo K. ChungEmail author
  • Linhui Xie
  • Shih-Gu Huang
  • Yixian Wang
  • Jingwen Yan
  • Li Shen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11848)


The permutation test is an often used test procedure for determining statistical significance in brain network studies. Unfortunately, generating every possible permutation for large-scale brain imaging datasets such as HCP and ADNI with hundreds of subjects is not practical. Many previous attempts at speeding up the permutation test rely on various approximation strategies such as estimating the tail distribution with known parametric distributions. In this study, we propose the novel transposition test that exploits the underlying algebraic structure of the permutation group. The method is applied to a large number of diffusion tensor images in localizing the regions of the brain network differences.


Permutation test Transposition test Structural brain networks Permutation group Online statistics computation 



This work was supported by NIH grant R01 EB022856, R01 EB022574 and NSF IIS 1837964. We would like to thank Jean-Baptiste Poline of McGill University, John Kornak of University of California - San Fransisco and Michale A. Newton of University of Wisconsin - Madison for valuable comments and discussions on the mixing time of the transposition test.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Moo K. Chung
    • 1
    Email author
  • Linhui Xie
    • 2
  • Shih-Gu Huang
    • 1
  • Yixian Wang
    • 1
  • Jingwen Yan
    • 2
  • Li Shen
    • 3
  1. 1.University of WisconsinMadisonUSA
  2. 2.Indiana University-Purdue University IndianapolisIndianapolisUSA
  3. 3.University of PennsylvaniaPhiladelphiaUSA

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