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July, 1981 Some $E$-Optimal Block Designs
Gregory M. Constantine
Ann. Statist. 9(4): 886-892 (July, 1981). DOI: 10.1214/aos/1176345529

Abstract

When a BIBD or a Group Divisible design with $\lambda_2 = \lambda_1 + 1$ is extended by certain disjoint and binary blocks the resulting structure is proved $E$-optimal. A BIBD abridged by a certain number of such blocks is also shown $E$-optimal. These optimality results hold over the class of all block designs (with the respective sets of parameters). Proofs rely mainly on averaging information matrices, which proves useful in many settings related to design optimality.

Citation

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Gregory M. Constantine. "Some $E$-Optimal Block Designs." Ann. Statist. 9 (4) 886 - 892, July, 1981. https://doi.org/10.1214/aos/1176345529

Information

Published: July, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0471.62078
MathSciNet: MR619292
Digital Object Identifier: 10.1214/aos/1176345529

Subjects:
Primary: 62K05
Secondary: 62K10

Keywords: $E$-optimality , BIB design , Eigenvalues , Group Divisible design , information matrix

Rights: Copyright © 1981 Institute of Mathematical Statistics

Vol.9 • No. 4 • July, 1981
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