Mixed-level designs with resolution III or IV containing clear two-factor interaction components

Qianqian Zhao and Shengli Zhao ()

Metrika: International Journal for Theoretical and Applied Statistics, 2015, vol. 78, issue 8, 953-965

Abstract: Mixed-level designs are widely used in factorial experiments. Clear effects criterion is one of the important rules for selecting optimal fractional factorial designs. It is highly desirable to know when mixed-level designs with resolution III or IV can have clear two-factor interaction components. This paper considers mixed-level designs with one or two high-level factors and some two-level factors, denoted as $$(2^{r})\times 2^n$$ ( 2 r ) × 2 n and $$(2^{r_1})\times (2^{r_2})\times 2^n$$ ( 2 r 1 ) × ( 2 r 2 ) × 2 n , respectively, and gives a complete classification of the existence of clear two-factor interaction components in such designs with resolution III or IV. The results reveal the structures of these designs. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Mixed-level designs; Resolution; Clear; Two-factor interaction components; 62K15; 62K05 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s00184-015-0535-y

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