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Inferences on interclass and intraclass correlations in multivariate familial data
Authors:Sadanori Konishi  C G Khatri
Institution:(1) The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minata-ku, 106 Tokyo, Japan;(2) Center for Multivariate Analysis, Department of Statisties, The Pennsylvania State University, 16802 University Park, PA, U.S.A.;(3) Present address: Gujarat University, 380009 Ahmedabad, India
Abstract:Inference procedures for interelass and intraclass correlations are given in the multivariate context of familial data for which measurements are taken on more than one characteristic. Unified estimators are proposed based on a certain class of unbiased estimators of covariance matrices. Asymptotic distributions of the proposed estimators are derived under the assumption of multivariate normality. The results can be used to construct approximate confidence intervals and test procedures.Research supported by the Department of Statistics, the Pennsylvania State University and the Air Force Office of Scientific Research under Grant AFSO-88-0030.Institute of Statistical Mathematics
Keywords:Asymptotic distribution  interclass and intraclass correlation matrices  interval estimation  hypothesis testing  multivariate familial data
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