Existence and constructions of connected block designs with given vectors of treatment replications and block sizes

DOI10.1016/0378-3758(85)90077-1zbMath0586.62118OpenAlexW1993798555MaRDI QIDQ1071445

Zenon Tabis, Jerzy K. Baksalary

Publication date: 1985

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(85)90077-1

zbMATH Keywords

existenceconstructionssequential procedurecondition of Gale and Ryserconnected binary block designexperimental unit

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Statistical block designs (62K10)

Related Items (5)

Characterizations of two-way layouts from the point of view of variance component estimation in the corresponding mixed linear models ⋮ Minimum number of experimental units in connected block designs with certain additional properties ⋮ Balance, efficiency and orthogonality concepts in block designs ⋮ The family of block designs with some combinatorial properties ⋮ On some of Jerzy Baksalary's contributions to the theory of block designs

Cites Work

• Unnamed Item
• A theorem on flows in networks
• A majorization theorem for the C-matrices of binary designs
• On the theory of connected designs: Characterization and optimality
• Combinatorial Properties of Matrices of Zeros and Ones
• Multiplicities and Minimal Widths for (0, 1)-Matrices
• Inequalities: theory of majorization and its applications

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