Listy Biometryczne-Biometrical Letters Vol.36(1), 1999, pp.61-67


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BAYESIAN ESTIMATION OF THE INTRACLASS CORRELATION COEFFICIENTS
IN THE MULTIVARIATE ONE-WAY MODEL


Teresa H. Jelenkowska

Institute of Applied Mathematics University of Agriculture, Akademicka 13,
20-934 Lublin, Poland


The paper presents a procedure to estimate the matrix of intraclass correlation coefficients from the Bayesian point of view. Multivariate measures of intraclass correlations are introduced to assess the degree of resemblance between family members with respect to more than one characteristic. Unified estimators for the multivariate measures are proposed as the posterior means of the multivariate inverted beta distribution. The proposed method is illustrated with the one-way model. An illustrative example is included.


Baesian estimation; MANOVA model; one-way layout; multivariate inverted beta distribution; intraclass correlations