A permutation test of association between configurations by means of the RV coefficient

Moonseong Heo, K. Ruben Gabriel

Research output: Contribution to journalArticle

54 Scopus citations


The RV coefficient is known to be suitable for measuring association between homologous configurations. The randomness of such association can be tested by permutational significance. In order to approximate the p-value, we derive the first two moments of the population permutation distribution of the RV coefficient. The permutational distributions of the RV coefficients are explored through several examples. Their permutation distributions appear to be markedly skewed to the right, regardless of the magnitudes of the observed RV coefficients herein. Log-transformation of the first two moments is suggested for a better approximation to the permutational p-value.

Original languageEnglish (US)
Pages (from-to)843-856
Number of pages14
JournalCommunications in Statistics Part B: Simulation and Computation
Issue number3
StatePublished - Dec 1 1998



  • Form
  • Homology
  • Mantel's coefficient
  • Moments
  • Orthogonality
  • Significance

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation

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