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Optimality results on orthogonal arrays plus p runs for sm factorial experiments

The optimality of designs obtained by adding p runs to an orthogonal array is studied for experiments involving m factors each at s levels. The optimality criterion used here, is the Type 1 criterion due to Cheng (1978) which is an extension of Kiefer (1975) universal optimality criterion. Unlike wh...

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Bibliographic Details
Published in:Metrika 2011, Vol.73 (3), p.385-394
Main Authors: Chatzopoulos, Stavros A., Kolyva-Machera, Fotini, Chatterjee, Kashinath
Format: Article
Language:English
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Summary:The optimality of designs obtained by adding p runs to an orthogonal array is studied for experiments involving m factors each at s levels. The optimality criterion used here, is the Type 1 criterion due to Cheng (1978) which is an extension of Kiefer (1975) universal optimality criterion. Unlike what happens with orthogonal array plus one run designs, the behavior of designs obtained via augmentation of an orthogonal array by p runs depends on the particular runs added.
ISSN:0026-1335
1435-926X
DOI:10.1007/s00184-009-0284-x