Some sufficient conditions for type 1 optimality with applications to regular graph designs

DOI10.1016/0378-3758(89)90089-XzbMath0688.62044OpenAlexW2033224831MaRDI QIDQ1263909

Michael A. Jacroux

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)90089-x

zbMATH Keywords

group divisible designlinear constraintssums of eigenvaluesregular graph designminimizing type 1 optimality functionstype 1 optimality of block designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Applications of mathematical programming (90C90) Statistical block designs (62K10)

Related Items (1)

A complete class of type 1 optimal block designs with unequal replications

Cites Work

• Some sufficient conditions for the type 1 optimality of block designs
• Some sufficient conditions for establishing (M,S)-optimality
• Some E-optimal block designs
• Maximizing the total number of spanning trees in a graph: two related problems in graph theory and optimum design theory
• Optimality of two and three factor designs
• Optimality of certain asymmetrical experimental designs
• Some Incomplete Block Designs of Maximum Efficiency
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