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Article
On Distance-Based Permutation Tests for Between-Group Comparisons
Biometrics (2010)
  • Philip T. Reiss, New York University
  • M. Henry H. Stevens, Miami University
  • Zarrar Shehzad, New York University
  • Eva Petkova, New York University
  • Michael P. Milham, New York University
Abstract

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 paper 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.

Keywords
  • Analysis of distance,
  • Bray-Curtis distance,
  • Functional magnetic resonance imaging,
  • Multiresponse permutation procedure,
  • Multivariate analysis of variance,
  • Pseudo-F test
Publication Date
June, 2010
Citation Information
Philip T. Reiss, M. Henry H. Stevens, Zarrar Shehzad, Eva Petkova, et al.. "On Distance-Based Permutation Tests for Between-Group Comparisons" Biometrics Vol. 66 Iss. 2 (2010)
Available at: http://works.bepress.com/phil_reiss/14/