Some bounds for partially balanced block designs

DOI10.1007/BF02480928zbMath0485.62074OpenAlexW1977689795MaRDI QIDQ1164351

Sanpei Kageyama

Publication date: 1981

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02480928

zbMATH Keywords

eigenvaluesconnectedC-matrixPBIB designBB designgroup divisible association scheme

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Numerical optimization and variational techniques (65K10) Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other designs, configurations (05B30) Eigenvalues, singular values, and eigenvectors (15A18) Statistical block designs (62K10)

Cites Work

• Some bounds on balanced block designs
• Mathematical expression of an inequality for a block design
• Reduction of associate classes for block designs and related combinatorial arrangements
• Note on combinatorial arrangements
• The Relationship Algebra and the Analysis of Variance of a Partially Balanced Incomplete Block Design
• A Note on Balanced Designs
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