Estimating variance components in hiearchical structures using minque and restricted maximum livelihood

DOI10.1080/03610927808827680zbMath0403.62047OpenAlexW2036914563MaRDI QIDQ4188608

Francis G. Giesbrecht, Peter M. Burrows

Publication date: 1978

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610927808827680

zbMATH Keywords

MinqueVariance ComponentsHierarchical Classification ModelsIterative ComputationsNested ModelRestricted Maximum Likelihood Estimates

Mathematics Subject Classification ID

Analysis of variance and covariance (ANOVA) (62J10)

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Estimation and Test of Varience Components Using the MINQUE-Method ⋮ Matrix free computation of C. R. Rao's MINQUE for unbalanced nested classification models

Cites Work

• Minimum variance quadratic unbiased estimation of variance components
• Restricted Maximum Likelihood (REML) Estimation of Variance Components in the Mixed Model
• Estimation of variance and covariance components—MINQUE theory
• Recovery of inter-block information when block sizes are unequal
• Notes on the Covariance Matrix of a Random, Nested Anova Model