Optimal allocation of units in experimental designs with hierarchical and cross classification

DOI10.1007/BF02481003zbMath0553.62065OpenAlexW1973841204MaRDI QIDQ802255

Czesław Stȩpniak

Publication date: 1983

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02481003

zbMATH Keywords

hierarchical classificationbalanced modelallocation of unitscomparison of modelscross classificationrandom linear models

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Theory of statistical experiments (62B15) Optimal statistical designs (62K05) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (8)

Optimal designs for three-factorial split-plot models with random block effects ⋮ Reduction problems in comparison of linear models ⋮ Matrix loss in comparison of linear experiments ⋮ Sandwich theorem in comparison of multivariate normal experiments ⋮ Quotient of information matrices in comparison of linear experiments for quadratic estimation ⋮ On a problem with singularity in comparison of linear experiments ⋮ Comparing Normal Linear Experiments and Transformation of Observations * ⋮ Stochastic ordering and Schur-convex functions in comparison of linear experiments

Cites Work

• Orderings of linear models
• Optimal allocation of observations in one-way random normal model
• Optimal allocation of observations
• On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models
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