Optimality of partial geometric designs

DOI10.1214/aos/1009210554zbMath1012.62078OpenAlexW1966128941MaRDI QIDQ1848873

Sunanda Bagchi, Bhaskar Bagchi

Publication date: 14 November 2002

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

Full work available at URL: https://doi.org/10.1214/aos/1009210554

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of block designs (05B05) Inequalities involving eigenvalues and eigenvectors (15A42) Statistical block designs (62K10)

Related Items (15)

Three-class association schemes from partial geometric designs ⋮ Optimality of some row-column designs ⋮ Optimal block designs for three treatments when observations are correlated ⋮ On optimality of designs with three distinct eigenvalues ⋮ Construction of group divisible designs and rectangular designs from resolvable and almost resolvable balanced incomplete block designs ⋮ Optimal saturated block designs when observations are correlated ⋮ Aspects of optimality of plans orthogonal through other factors and related multiway designs ⋮ E-optimal designs for three treatments ⋮ Schur- and \(E\)-optimal two-level factorial designs ⋮ \(E\)-optimality in treatment versus control experiments ⋮ Combinatorial designs with two singular values. II: Partial geometric designs ⋮ On the optimality of a class of designs with three concurrences ⋮ Research problems from the 19th British Combinatorial Conference ⋮ A complete class of type 1 optimal block designs with unequal replications ⋮ Variance and concurrence in block designs, and distance in the corresponding graphs

Cites Work

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• On the optimality of a class of row-column designs
• Some sufficient conditions for the type 1 optimality of block designs
• Optimality of some two-associate-class partially balanced incomplete- block designs
• Optimality of two and three factor designs
• A characterization of partial geometric designs
• Optimality of certain asymmetrical experimental designs
• \(D\)-optimality of the dual of BIB designs
• Strongly regular graphs, partial geometries and partially balanced designs
• On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical Designs
• Finite Nets, I. Numerical Invariants
• Inequalities: theory of majorization and its applications

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