Experimental designs for mean and variance estimation in variance components models

DOI10.1016/0167-9473(89)90062-5zbMath0702.62070OpenAlexW2080271876WikidataQ57629377 ScholiaQ57629377MaRDI QIDQ915313

Paola Sebastiani, Alessandra Giovagnoli

Publication date: 1989

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-9473(89)90062-5

zbMATH Keywords

weightsvariance componentsestimation of mean and variancebalanced designsmixed linear modelcosts of replicationsexpected Fisher information matrixheteroscedastic linear modelsoptimal number of replicationspseudo-Bayesian approach

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Factorial statistical designs (62K15) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (7)

Construction of experimental designs for estimating variance components ⋮ Designs for Variance Components Estimation: Past and Present ⋮ A graphical approach for the construction of constrained a and l-optimal designs using efficiency plots ⋮ Graphical technique for comparing designs for random models ⋮ Optimality of Equal vs. Unequal Cluster Sizes in Multilevel Intervention Studies: A Monte Carlo Study for Small Sample Sizes ⋮ Optimal Sampling Design with Random Size Clusters for a Mixed Model with Measurement Errors ⋮ Design for hyperparameter estimation in linear models

Cites Work

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• Explicit maximum likelihood estimates from balanced data in the mixed model of the analysis of variance
• Optimal design for the estimation of variance components
• Mixed models and unbalanced data: wherefrom, whereat and whereto?
• Variance Function Estimation
• Dispersion Matrices for Variance Components Models
• Maximum-likelihood estimation for the mixed analysis of variance model

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