Abstract
Block designs for factorial experiments are studied in this chapter. They are useful when the experimental units are not homogeneous. The simpler case of two-level full factorials is considered first. Then the problem of blocking for fractions of general symmetrical factorials is taken up and a finite projective geometric formulation is obtained. Various optimality criteria are discussed and the method of complementary sets is developed for finding optimal designs. A collection of design tables is given.
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© 2006 Springer Science+Business Media, Inc.
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(2006). Block Designs for Symmetrical Factorials. In: A Modern Theory of Factorial Designs. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/0-387-37344-6_7
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DOI: https://doi.org/10.1007/0-387-37344-6_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-31991-9
Online ISBN: 978-0-387-37344-7
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