A comparison of estimators of a common correlation coefficient

Stephen W. Looney

Research output: Contribution to journalArticlepeer-review


It is often of interest to test the hypothesis that all off-diagonal elements of the correlation matrix of a multivariate normal distribution are equal. If the hypothesis of equal correlation can be accepted, it then may be of interest to estimate the common correlation coefficient. In this paper, four estimators of the common correlation are compared in terms of bias, variance, mean squared error, adequacy of the normal approximation, and ease of calculation. The average sample correlation is seen to be comparable to the other estimators and is recommended here since it is the easiest to calculate. The estimators are compared using simulation.

Original languageEnglish (US)
Pages (from-to)531-543
Number of pages13
JournalCommunications in Statistics - Simulation and Computation
Issue number2
StatePublished - Jan 1 1986
Externally publishedYes


  • CPU time
  • Fisher z-transform
  • correlation matrix
  • equicorrelation
  • mean squared error
  • normal approximation

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation


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