Optimal designs for random effect models with correlated errors with applications in population pharmacokinetics

DOI10.1214/09-AOAS324zbMath1202.62101arXiv1011.3333MaRDI QIDQ614158

Tim Holland-Letz, Andrey Pepelyshev, Dette, Holger

Publication date: 27 December 2010

Published in: The Annals of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3333

zbMATH Keywords

correlated observationsrandom effects modelscompartmental modelsasymptotic optimal design densitynonlinear least squares estimate

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Optimal statistical designs (62K05) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

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Cites Work

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• The optimality of single-group designs for certain mixed models
• Examples of the use of an equivalence theorem in constructing optimum experimental designs for random-effects nonlinear regression models
• Extension of the Gauss-Markov theorem to include the estimation of random effects
• Robustness of design against autocorrelation in time I: Asymptotic theory, optimality for location and linear regression
• Model-oriented design of experiments
• Bayesian experimental design: A review
• A geometric method for singular c-optimal designs
• Considerations on group-wise identical designs for linear mixed models
• Optimal Designs for Dose-Finding Studies
• DESIGN OF EXPERIMENTS IN NON-LINEAR SITUATIONS
• Optimality criteria for regression models based on predicted variance
• Optimum Experimental Designs for Properties of a Compartmental Model
• Optimal design in random-effects regression models
• Robustness of Design Against Autocorrelation in Time II: Optimality, Theoretical and Numerical Results for the First-Order Autoregressive Process
• Further Developments of the Fisher Information Matrix in Nonlinear Mixed Effects Models with Evaluation in Population Pharmacokinetics
• Designs for Regression Problems with Correlated Errors
• Designs for Regression Problems With Correlated Errors: Many Parameters
• Locally Optimal Designs for Estimating Parameters