On the connectivity problem for \(m\)-way designs

DOI10.1080/15598608.2013.782193zbMath1423.62091OpenAlexW2004175310MaRDI QIDQ2320880

J. D. Godolphin

Publication date: 27 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2013.782193

zbMATH Keywords

estimabilityinformation matrixconnectivityadjusted orthogonalitykernel spacesegregated component space

Mathematics Subject Classification ID

Statistical block designs (62K10) Statistical aspects of information-theoretic topics (62B10)

Related Items (3)

An efficient procedure for the avoidance of disconnected incomplete block designs ⋮ Robust assessment of two-treatment higher-order cross-over designs against missing values ⋮ Designs with blocks of size two and applications to microarray experiments

Cites Work

• Decomposable three-way layouts
• On the theory of connected designs: Characterization and optimality
• On connectedness in two-way elimination of heterogeneity designs
• Spanning sets for estimable contrasts in classification models
• Algebraic solutions to the connectivity problem for \(m\)-way layouts: Interaction-contrast ali\-asing
• Connectedness in row-column designs
• Simple Pilot Procedures for the Avoidance of Disconnected Experimental Designs
• Connectedness and orthogonality in multi-factor designs
• Adjusted orthogonality in nonorthogonal designs
• MULTI‐FACTOR BALANCED BLOCK DESIGNS WITH COMPLETE ADJUSTED ORTHOGONALITY FOR ALL PAIRS OF TREATMENT FACTORS
• On connectedness of row-column designs
• Some Basic Properties of Multidimensional Partially Balanced Designs
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