Abstract
Extension of the ideas in Chapters 3 and 4 to designs with factors at different numbers of levels is the focus of this chapter. The important special case of mixed two- and four-level designs is first discussed. An extension of the minimum aberration criterion is considered. More generally, designs with one factor at sr levels and n factors at s levels, or one factor at \( s^{r_1 }\) levels, a second factor at \( s^{r_2 }\) levels, and n factors at s levels, where s is a prime or prime power, are considered. These designs can be conveniently described and their properties obtained using finite projective geometry. The method of complementary sets is again seen to provide a general approach for finding minimum aberration designs in such settings.
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© 2006 Springer Science+Business Media, Inc.
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(2006). Minimum Aberration Designs for Mixed 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_6
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DOI: https://doi.org/10.1007/0-387-37344-6_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-31991-9
Online ISBN: 978-0-387-37344-7
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