Optimal designs for the prediction of mixed effects in linear mixed models

DOI10.1080/02331888.2021.1975711zbMath1477.62202OpenAlexW3201174644MaRDI QIDQ5163048

Yun-Juan Wang, Rong-Xian Yue, Xiao-Dong Zhou

Publication date: 8 November 2021

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2021.1975711

zbMATH Keywords

predictionoptimal designlinear mixed modelrandom coefficient regression

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Linear regression; mixed models (62J05) Optimal statistical designs (62K05)

Cites Work

• Optimal prediction designs in finite discrete spectrum linear regression models
• \(D\)- and \(V\)-optimal population designs for the quadratic regression model with a random intercept term
• The optimality of single-group designs for certain mixed models
• Various optimality criteria for the prediction of individual response curves
• Mean squared error of empirical predictor.
• \(V\)- and \(D\)-optimal population designs for the simple linear regression model with a random intercept term
• Mixed Models
• Robust Designs for Linear Mixed Effects Models
• Best Linear Unbiased Estimation and Prediction under a Selection Model
• Optimal allocation of time points for the random effects model
• Optimal and efficient treatment control design in the heteroscedastic one-way layout with covariates
• Optimal Designs for the Prediction of Individual Parameters in Hierarchical Models
• Optimal Designs for Longitudinal and Functional Data
• Topics in optimal design
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