Characterizations of two-way layouts from the point of view of variance component estimation in the corresponding mixed linear models

DOI10.1016/0378-3758(90)90093-AzbMath0705.62064MaRDI QIDQ918091

Stanisław Gnot, Anita Dobek, Jerzy K. Baksalary

Publication date: 1990

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

zbMATH Keywords

connectednesslinear modellinear functionvariance balancetwo-way layoutcomplete characterizationsestimable function of variance componentsinvariant unbiased estimabilityminimum number of experimental unitsmixed model without interactionuniformly best invariant quadratic unbiased estimator

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (2)

Best estimation of variance components with arbitrary kurtosis in two-way layouts mixed models ⋮ On some of Jerzy Baksalary's contributions to the theory of block designs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and constructions of connected block designs with given vectors of treatment replications and block sizes
• Schur complements and statistics
• On the theory of connected designs: Characterization and optimality
• Quadratic estimation of variance components in mixed block designs
• Partially efficiency balanced designs
• A Note on Balanced Designs
• Quadratic Subspaces and Completeness
• Linear Spaces and Unbiased Estimation--Application to the Mixed Linear Model
• Enlargement Methods for Computing the Inverse Matrix
• Inequalities: theory of majorization and its applications

This page was built for publication: Characterizations of two-way layouts from the point of view of variance component estimation in the corresponding mixed linear models