On distance-based permutation tests for between-group comparisons

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

doi:10.1111/j.1541-0420.2009.01300.x

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 journal › Article › peer-review

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 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 language	English
Pages (from-to)	636-643
Number of pages	8
Journal	Biometrics
Volume	66
Issue number	2
DOIs	https://doi.org/10.1111/j.1541-0420.2009.01300.x
State	Published - Jun 2010
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

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

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10.1111/j.1541-0420.2009.01300.x

Cite this

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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 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.",

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year = "2010",

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AU - Petkova, Eva

AU - Milham, Michael P.

PY - 2010/6

Y1 - 2010/6

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AB - 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.

KW - Analysis of distance

KW - Bray-Curtis distance

KW - Functional magnetic resonance imaging

KW - Multiresponse permutation procedure

KW - Multivariate analysis of variance

KW - Pseudo-F test

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On distance-based permutation tests for between-group comparisons

Abstract

Keywords

ASJC Scopus subject areas

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