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Asymmetrical factorial designs containing clear effects. (English) Zbl 1105.62079
Summary: The asymmetrical or mixed-level factorial design is a kind of important design in practice. There is a natural problem on how to choose an optimal \((s^2)s^n\) design for the practical need, where \(s\) is any prime or prime power. This paper considers the clear effects criterion for selecting good designs. It answers the questions of when an \((s^2)s^n\) design with fixed number of runs contains clear two-factor interaction (in brief 2fi) components and when it contains clear main effects or clear 2fis. It further gives the complete classification of \((s^2)s^n\) designs according to the clear 2fi components, main effects and 2fis they have.

MSC:
62K15 Factorial statistical designs
62K05 Optimal statistical designs
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