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March, 1983 Construction of Optimal Balanced Incomplete Block Designs for Correlated Observations
Ching-Shui Cheng
Ann. Statist. 11(1): 240-246 (March, 1983). DOI: 10.1214/aos/1176346074

Abstract

Some methods for the construction of equineighbored balanced incomplete block designs introduced by Kiefer and Wynn (1981) are presented. An algorithm for constructing designs with $k = 3$ is developed. Kiefer and Wynn's result for $k = 3$ is difficult to implement in practice. Our algorithm provides a practical solution and makes use of the decomposition of complete graphs into disjoint Hamiltonian cycles. The construction of designs with $k = v - 1$ and $v - 2$ is also completely solved. The neighbor designs proposed for use in serology are useful for the construction of equineighbored balanced incomplete block designs. Several infinite families of equineighbored balanced incomplete block designs are listed.

Citation

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Ching-Shui Cheng. "Construction of Optimal Balanced Incomplete Block Designs for Correlated Observations." Ann. Statist. 11 (1) 240 - 246, March, 1983. https://doi.org/10.1214/aos/1176346074

Information

Published: March, 1983
First available in Project Euclid: 12 April 2007

zbMATH: 0513.62077
MathSciNet: MR684881
Digital Object Identifier: 10.1214/aos/1176346074

Subjects:
Primary: 62K10
Secondary: 05B05

Rights: Copyright © 1983 Institute of Mathematical Statistics

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Vol.11 • No. 1 • March, 1983
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