On distance-based permutation tests for between-group comparisons

Philip T. Reiss, M. Henry H. Stevens, Zarrar Shehzad, Eva Petkova, Michael P. Milham

Research output: Contribution to journalArticlepeer-review


Permutation tests based on distances among multivariate observations have found many applications in the biological sciences. Two major testing frameworks of this kind are multiresponse permutation procedures and pseudo-F tests arising from a distance-based extension of multivariate analysis of variance. In this article, we derive conditions under which these two frameworks are equivalent. The methods and equivalence results are illustrated by reanalyzing an ecological data set and by a novel application to functional magnetic resonance imaging data.

Original languageEnglish
Pages (from-to)636-643
Number of pages8
Issue number2
StatePublished - Jun 2010
Externally publishedYes


  • Analysis of distance
  • Bray-Curtis distance
  • Functional magnetic resonance imaging
  • Multiresponse permutation procedure
  • Multivariate analysis of variance
  • Pseudo-F test

ASJC Scopus subject areas

  • General Agricultural and Biological Sciences
  • Applied Mathematics
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • Statistics and Probability


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