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GENERAL MINIMUM LOWER ORDER CONFOUNDING IN BLOCK DESIGNS USING COMPLEMENTARY SETS
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Journal Article
GENERAL MINIMUM LOWER ORDER CONFOUNDING IN BLOCK DESIGNS USING COMPLEMENTARY SETS
2009
Overview
We consider regular fractions of s-level factorials arranged in block designs. Optimal designs are explored under the criterion of general minimum lower order confounding which aims, in an elaborate manner, at keeping the lower order factorial effects unaliased with one another and unconfounded with blocks. A finite projective geometric formulation, that identifies the alias sets with the points and the blocking system with a flat of the geometry, forms the mathematical basis of our approach. Theoretical results and tables are obtained in terms of complementary sets and an idea of double complementation is found to be useful in some situations.
Publisher
Institute of Statistical Science, Academia Sinica and International Chinese Statistical Association
Subject
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