Properties of information matrices for linear models and universal optimality of experimental designs
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Publication:1361740
DOI10.1016/S0378-3758(96)00106-1zbMath0898.62094MaRDI QIDQ1361740
Publication date: 14 October 1998
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Schur complementlinear modelsoptimal experimental designsrow-column designsmixed effects modelrepeated measurements designKiefer orderingG-majorization
Optimal statistical designs (62K05) Linear inference, regression (62J99) Statistical block designs (62K10)
Related Items (12)
\(\Phi\) admissibility for linear estimators on regression coefficients in a general multivariate linear model under balanced loss function ⋮ Universally optimal designs under mixed interference models with and without block effects ⋮ Universally optimal designs under an interference model with equal left- and right-neighbor effects ⋮ \(\Phi\) admissibility of stochastic regression coefficients in a general multivariate random effects model under a generalized balanced loss function ⋮ Connectedness of complete block designs under an interference model ⋮ Universally optimal designs under interference models with and without block effects ⋮ Optimality of neighbor balanced designs under mixed effects model. ⋮ On the Optimality of Circular Block Designs Under a Mixed Interference Model ⋮ Optimality of type I orthogonal arrays for general interference model with correlated observa\-tions ⋮ On dependence structures preserving optimality ⋮ Optimal designs for a mixed interference model ⋮ Universal optimality of Patterson's crossover designs
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- Optimal design and refinement of the linear model with applications to repeated measurements designs
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- Balanced block designs under interactive linear models
- Optimal designs for comparing test treatments with controls. With comments and a rejoinder by the authors
- G-majorization with applications to matrix orderings
- On the choice of optimality criteria in comparing statistical designs
- Universal optimality of experimental designs: Definitions and a criterion
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- Incomplete Block Designs for Comparing Treatments with a Control: General Theory
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