Circular neighbor-balanced designs universally optimal for total effects

DOI10.1007/s11425-007-0035-2zbMath1121.62070OpenAlexW2117604379MaRDI QIDQ2454650

Gennian Ge, Ling-Yau Chan, Ming-Yao Ai

Publication date: 16 October 2007

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

Full work available at URL: https://doi.org/10.1007/s11425-007-0035-2

zbMATH Keywords

circularblock designtotal effectneighbor-balanced

Mathematics Subject Classification ID

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

Related Items (16)

Computer-Generated Neighbor Designs ⋮ Universally Optimal Designs Balanced for Neighbor Effects ⋮ Designs balanced for neighbor effects in circular blocks of size six ⋮ Universally optimal designs under an interference model with equal left- and right-neighbor effects ⋮ Universally optimal designs for three interference models under circulant correlation ⋮ Construction of neighbor balanced block designs ⋮ Optimal Designs for the Two-Dimensional Interference Model ⋮ Minimal neighbor designs in circular blocks of unequal sizes ⋮ Optimal designs for the proportional interference model ⋮ Circular Binary Block Second- and Higher-Order Neighbor Designs ⋮ Non binary partially neighbor balanced designs for circular blocks ⋮ Construction of Neighbor-Balanced Designs in Linear Blocks ⋮ Universally optimal balanced block designs for interference model ⋮ Circular neighbor-balanced designs using cyclic shifts ⋮ Universally optimal designs for two interference models ⋮ Optimality of circular equineighbored block designs under correlated observations

Cites Work

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• Optimality of balanced uniform repeated measurements designs
• Optimality of neighbour balanced designs
• Repeated measurements designs, II
• Optimal repeated measurements designs: The linear optimality equations
• Theory of optimal designs
• Optimality of neighbor-balanced designs for total effects
• Designs balanced for circular residual effects
• Balanced repeated measurements designs
• Recent progress on the existence of perfect Mendelsohn designs

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