Construction of optimal designs in random coefficient regression models

DOI10.1080/02331888208801650zbMath0498.62061OpenAlexW2073425578MaRDI QIDQ3963892

Jürgen Pilz, Johannes Gladitz

Publication date: 1982

Published in: Series Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888208801650

zbMATH Keywords

information matrixquadratic lossconstruction of optimal designsequivalence theoremsBayesian linear modelsrandom coefficient regression modelslinear Bayes estimatorstructure of optimal designs

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Optimal statistical designs (62K05) Bayesian inference (62F15)

Related Items (11)

Minimax linear regression estimation with symmetric parameter restrictions ⋮ Computing optimal experimental designs with respect to a compound Bayes risk criterion ⋮ The optimality of single-group designs for certain mixed models ⋮ Optimal designs in multiple group random coefficient regression models ⋮ Optimal designs for prediction of random effects in two-groups models with multivariate response ⋮ Optimal designs for prediction in random coefficient regression with one observation per individual ⋮ Considerations on group-wise identical designs for linear mixed models ⋮ \(R\)-optimal designs for individual prediction in random coefficient regression models ⋮ \(D\)-optimal designs for hierarchical linear models with intraclass covariance structure ⋮ Optimizing the allocation of trials to sub-regions in multi-environment crop variety testing ⋮ The conditional expectation as estimator of normally distributed random variables with values in infinitely dimensional Banach spaces

This page was built for publication: Construction of optimal designs in random coefficient regression models