Balance and orthogonality in designs for mixed classification models

DOI10.1214/aos/1017939245zbMath0963.62059OpenAlexW1558008991MaRDI QIDQ1583895

Justus F. Seely, David S. Birkes, Dawn M. VanLeeuwen

Publication date: 30 October 2000

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1017939245

zbMATH Keywords

sums of squaresANOVAorthogonal designmixed linear modelorthogonal block structure

Mathematics Subject Classification ID

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

Related Items (16)

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Cites Work

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• Balance in designed experiments with orthogonal block structure
• On the existence of unbiased nonnegative estimates of variance covariance components
• Sufficent conditions for orthogonal designs in mixed linear models
• Balance and orthogonality in designs for mixed classification models
• Optimal testing for fixed effects in general balanced mixed classification models
• Sub-Balanced Data and the Mixed Analysis of Variance
• Quadratic Subspaces and Completeness
• Completeness for a Family of Multivariate Normal Distributions
• The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance
• Necessary and sufficient conditions for explicit solutions in the multivariate normal estimation problem for patterned means and covariances

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