Circular neighbor-balanced designs using cyclic shifts

DOI10.1007/s11425-009-0063-1zbMath1177.05019OpenAlexW1978074840MaRDI QIDQ1047844

Syed Shakir Ali Ghazali, Ijaz Iqbal, Muhammad Hussain Tahir

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0063-1

zbMATH Keywords

plotscyclic shiftsuniversally optimal designscircular designA-optimalcircular neigbour-balanced designsCNBDconcurrence matrixtreatment balanced designs

Mathematics Subject Classification ID

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

Related Items (15)

Computer-Generated Neighbor Designs ⋮ Some useful classes of minimal weakly balanced neighbor designs in circular blocks of two different sizes ⋮ Designs balanced for neighbor effects in circular blocks of size six ⋮ Construction of circular quasi rees neighbor designs which can be converted into minimal circular balanced and strongly balanced neighbor designs ⋮ Universally optimal designs under interference models with and without block effects ⋮ Generalized neighbor designs with block size 3 ⋮ Economical generalized neighbor designs for use in serology ⋮ Cyclic polygonal designs with block size 3 and \(\lambda=1\) for joint distance \(\alpha=6\) to 16 ⋮ Minimal neighbor designs in circular blocks of unequal sizes ⋮ Proper generalized neighbor designs in circular blocks ⋮ Construction of Neighbor-Balanced Designs in Linear Blocks ⋮ Universally optimal balanced block designs for interference model ⋮ Construction of Balanced Incomplete Block Designs Using Cyclic Shifts ⋮ Some Classes of Binary Block Neighbor Designs ⋮ Some important classes of generalized neighbor designs for linear blocks

Cites Work

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• Optimality of neighbour balanced designs
• Neighbor designs
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• Optimality of neighbor-balanced designs for total effects
• Generalized polygonal designs with block size \(3\) and \(\lambda =1\)
• Circular neighbor-balanced designs universally optimal for total effects
• Constructions for some classes of neighbor designs
• Circular Strongly Balanced Repeated Measurements Designs
• Families of neighbour designs and their analysis
• On Construction of Neighbor Designs
• A Note on Certain Types of Bibd's Balanced for Residual Effects

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