On optimality and construction of row designs under dependence for estimating means

DOI10.1080/03081087.2020.1744504zbMath1493.62461OpenAlexW3013319791MaRDI QIDQ5064507

Vasilis Chasiotis, Stratis Kounias, Katerina Pericleous, Christos Koukouvinos

Publication date: 16 March 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2020.1744504

zbMATH Keywords

treatment effectsautoregressive processE-optimal designsA-D-experimental units

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Optimal statistical designs (62K05) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Optimum balanced block and Latin square designs for correlated observations
• Estimability of parameters in a linear model and related characterizations
• On the optimality of finite Williams II(a) designs
• D-optimal and highly D-efficient designs with non-negatively correlated observations
• The Concept of Majorization in Experimental Design
• Some results on optimal design under a first-order autoregression and on finite williams type ii designs
• EXPERIMENTAL DESIGNS FOR SERIALLY CORRELATED OBSERVATIONS

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