Some results on the existence or nonexistence of constant block-sum triangular and other related designs

DOI10.1007/s42519-022-00301-8OpenAlexW4307818293MaRDI QIDQ2096409

Ravindra Khattree, Namisha Bansal, Davinder Kumar Garg

Publication date: 16 November 2022

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42519-022-00301-8

zbMATH Keywords

incidence matrixpartially balanced incomplete block designsgroup divisible designstriangular designsconstant block-sum partially balanced incomplete block designs

Mathematics Subject Classification ID

Statistics (62-XX) Design of statistical experiments (62Kxx) Designs and configurations (05Bxx)

Related Items

Constant and nearly constant block-sum partially balanced incomplete block designs and magic rectangles

Cites Work

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• Mixture experiments in the interior: yantram designs
• Partially balanced incomplete block designs with two associate classes and two treatments per block
• On construction of constant block-sum partially balanced incomplete block designs
• A note on the nonexistence of the constant block-sum balanced incomplete block designs
• The Parshvanath yantram yields a constant-sum partially balanced incomplete block design
• On construction of equireplicated constant block-sum designs
• Nearly magic rectangles
• On a Class of Partially Balanced Incomplete Block Designs
• Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate Classes
• An Embedding Theorem for Balanced Incomplete Block Designs