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Designs for Variance Components Estimation: Past and Present
Authors:André I Khuri
Institution:Department of Statistics, University of Florida, P.O. Box 118545, Gainesville, Florida 32611-8546, USA
Abstract:This article provides (1) a comprehensive coverage of the literature on designs for estimating variance components, and (2) a review of recent applications of such designs in genetics, statistical process control, and quality improvement. In addition, recent methods of estimation of variance components and model forms, other than the linear, are discussed. The latter developments have a direct effect on the choice of design. Some suggested ideas for future research directions are also given.
Keywords:ANOVA estimation  Balanced designs  Bayesian designs  Design dependence  Heritability  Maximum likelihood estimation  Mixed linear models  Nested and Crossed classification models  Random effects  Staggered nested design  Statistical process control
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