A rank characterization of linear models with nuisance parameters and its application to block designs

DOI10.1016/0378-3758(89)90108-0zbMath0669.62065OpenAlexW2093101075MaRDI QIDQ1118954

Jerzy K. Baksalary

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0378-3758(89)90108-0

zbMATH Keywords

incidence matrixnuisance parameterslinear modelefficiency factorFisher's inequalityFisher's condition

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Statistical block designs (62K10)

Related Items (3)

Characterizations and dispersion-matrix robustness of efficiently estimable parametric functionals in linear models with nuisance parameters ⋮ Decomposability of the C-matrix of a two-way elimination of heterogeneity design ⋮ On some of Jerzy Baksalary's contributions to the theory of block designs

Cites Work

• A note on the inequality b\(\geq t\) for block designs
• Criteria for the validity of Fisher's condition for balanced block designs
• Some bounds on balanced block designs
• Mathematical expression of an inequality for a block design
• On some properties of the dual of a totally balanced block design
• On the Efficiency Factor for a Contrast of Treatment Parameters
• On Fisher's Inequality for Variance Balanced Block Designs
• A study of the equivalence between a gauss-markoff model and its augmentation by nuisance parameters
• A new special class of peb designs
• On balanced unequal block designs
• On properties of efficiency-balanced designs
• A necessary condition for balance of a block design
• Partially efficiency balanced designs
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