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April 2000 Optimal design with many blocking factors
R. A. Bailey, J. P. Morgan
Ann. Statist. 28(2): 553-577 (April 2000). DOI: 10.1214/aos/1016218230

Abstract

Designs for sets of experimental units with many blocking factors are studied. It is shown that if the set of blocking factors satisfies a certain simple condition then the information matrix for the design has a simple form. In consequence, a design is optimal if it is optimal with respect to one particular blocking factor and regular with respect to all the rest, in a sense which is made precise in the paper. This encompasses several previous results for optimal designs with more than one blocking factor, and applications to many other situations are given.

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R. A. Bailey. J. P. Morgan. "Optimal design with many blocking factors." Ann. Statist. 28 (2) 553 - 577, April 2000. https://doi.org/10.1214/aos/1016218230

Information

Published: April 2000
First available in Project Euclid: 15 March 2002

zbMATH: 1105.62361
MathSciNet: MR1790009
Digital Object Identifier: 10.1214/aos/1016218230

Subjects:
Primary: 62K05

Rights: Copyright © 2000 Institute of Mathematical Statistics

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Vol.28 • No. 2 • April 2000
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