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A note on the unbiased estimation of the intraclass correlation
Authors:John R Donoghue  Linda M Collins
Institution:(1) J. P. Guilford Laboratory of Quantitative Psychology, MC 1061, University of Southern California, 90089 Los Angeles, CA
Abstract:The intraclass correlation,rgr, is a parameter featured in much psychological research. Two commonly used estimators ofrgr, the maximum likelihood and least squares estimators, are known to be negatively biased. Olkin and Pratt (1958) derived the minimum variance unbiased estimator of the intraclass correlation, but use of this estimator has apparently been impeded by the lack of a closed form solution. This note briefly reviews the unbiased estimator and gives a FORTRAN 77 subroutine to calculate it.The first author was supported by an All-University Fellowship from the University of Southern California.
Keywords:hierarchical linear models  intraclass correlation  unbiased estimation  FORTRAN  algorithm
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