Nearly Balanced Incomplete Block Designs

Ching‐Shui Cheng · Chien-Fu Wu

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Agriculture, Soil, Plant Science

Abstract

A class of nearly balanced incomplete block designs is defined. This extends the concept of regular graph designs of John & Mitchell (1977) to the unequally replicated case. Some necessary conditions for the existence of such designs are derived. Methods of construction are given for some special cases. For five or six varieties, the ‘best’ nearly balanced incomplete block designs and their efficiencies are tabulated.

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References

1975Construction and optimality of generalized Youden designs II 1958On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical Designs 1977Optimal Incomplete Block Designs 1971On Some Desirable Patterns in Block Designs 1958A Note on Balanced Designs 1959On a Property of Incomplete Blocks

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1985Efficiency of Nearest Neighbour Balanced Block Designs for Correlated Observations 1986The potential use of artificially produced monozygotic twins for comparative experiments 2005Optimal Design of Experiments

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