Constructions of Pairwise-and Variance-Balanced Designs

DOI10.1080/02331889708802587zbMath0885.62087OpenAlexW2177601693MaRDI QIDQ4344173

Byron Jones, Kishore Sinha, Sanpei Kageyama

Publication date: 24 August 1997

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889708802587

zbMATH Keywords

block designbinarypropervariance-balancednon-binarynon-properpairwise-balancedPV-balanced

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of block designs (05B05) Statistical block designs (62K10)

Cites Work

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• Further equireplicate balanced block designs with unequal block sizes
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• Pairwise and variance balanced incomplete block designs
• Some families of group divisible designs
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
• Construction of balanced treatment incomplete block designs
• Equireplicate balanced block designs with unequal block sizes
• A Relation Between Pairwise Balanced and Variance Balanced Block Designs
• Incomplete Block Designs for Comparing Treatments with a Control: General Theory
• Balanced block designs
• Balanced Designs with Unequal Numbers of Replicates
• Hadamard matrices and their applications

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