Sparse designs for estimating variance components of nested factors with random effects

DOI10.1016/j.jspi.2021.01.002zbMath1460.62114OpenAlexW3123914908MaRDI QIDQ830748

Célia Fernandes, R. A. Bailey, Paulo Henrique Ramos

Publication date: 7 May 2021

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10023/21300

zbMATH Keywords

variance componentsbalanced nested designsnested factorsstaggered nested designsstair nested designs

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Analysis of variance and covariance (ANOVA) (62J10)

Cites Work

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• Randomization-based models for multitiered experiments. I: A chain of randomizations
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• Crossing balanced and stair nested designs
• A Comparison of the "Sometimes Pool", "Sometimes Switch" and "Never Pool" Procedures in the Two-Way ANOVA Random Effects Model
• General formulae for expectations, variances and covariances of the mean squares for staggered nested designs
• Generalized staggered nested designs for variance components estimation
• Algebraic structure for the crossing of balanced and stair nested designs
• The interpretation of negative components of variance
• Estimability of variance components when all model matrices commute

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