LI Feng, LIU Xin. A-Optimal Design for Hierarchical Linear Model with Intraclass Positive Correlation[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(4): 521-530. DOI: 10.3969/j.issn.1001-4268.2022.04.003
Citation: LI Feng, LIU Xin. A-Optimal Design for Hierarchical Linear Model with Intraclass Positive Correlation[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(4): 521-530. DOI: 10.3969/j.issn.1001-4268.2022.04.003
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A-Optimal Design for Hierarchical Linear Model with Intraclass Positive Correlation

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  • This paper discusses the optimal design problem for the hierarchical linear model with intraclass positive correlation. A-optimal designs are considered for the estimation of the fixed effects as well as the prediction of random effects. We provide two equivalence theorems to determine the A-optimality of a given design. Two illustrative examples of the A-optimal designs are presented.
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