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Least squares and generalized least squares in models with orthogonal block structure
Authors:Miguel Fonseca  João Tiago Mexia  Roman Zmy?lony
Institution:1. Department of Mathematics, Faculty of Science and Technology, New University of Lisbon, Monte da Caparica, 2829-516 Caparica, Portugal;2. Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland
Abstract:Besides the basic model, Kronecker products of rotated models are used to isolate the variance components as parameters of a linear model. A characterization of BLUE given by Zmy?lony (1980) is applied to the different models. Generalized least squares are used to complete the estimation.
Keywords:Linear mixed models  Inference  Orthogonal block structure  Variance components
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