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Minimum aberration designs for mixed factorials in terms of complementary sets. (English) Zbl 0967.62054
Summary: Minimum aberration designs are obtained for two types of mixed-level fractional factorials: (i) $$(s^r)\times s^n$$ factorial, and (ii) $$(s^{r_1})\times (s^{r_2})\times s^n$$ factorial, where $$s$$ is any prime or prime power, and $$r,r_1,r_2$$ and $$n$$ are positive integers. Projective geometric tools are employed to find the wordlength pattern of a given design in terms of that of its complementary set. Many useful designs are found and tabulated.

##### MSC:
 62K15 Factorial statistical designs 05B25 Combinatorial aspects of finite geometries