Two High-level Factors In The Entire Zone Of The Split Zone Design Contain Conditions For Pure Effects

Fractional factorial (FF) designs are commonly used in factorial experiments. When the levels of some factors are difficult to be changed or controlled, it may be impracti-cal or even impossible to perform the experimental runs of FF designs in a completely random order. This motivates us to use fractional factorial split-plot (FFSP) designs to meet the special demands. In factorial investigations, there are not only two level factors, but also high-level factors. If there are some two-level factor and a four-level factor and an eight-level factor in an experiment and it is difficult to change or control the four-level factor and eight-level factor, a split-plot 2(n1+n2)-(k1+k2)4W18W1 design can be used.In this paper, we study the mixed-level fractional factorial split-plot design that has a four-level factor, an eight-level factor and some two-level factors in the whole-plot, and some two-level factors in the sub-plot, denoted by 2(n1+n2)-(k1+k2)4W18W1 design. We give the conditions for the design that contains different clear effects and the construction method of all kinds of designs. It is divided into five chapters.Chapter 1 is divided into four sections. Section 1.1 introduces the definition and application of factorial design. Section 1.2 introduces the two-level factor design. Section 1.3 introduces mixed-level factor design. Section 1.4 mainly introduces the properties, application and structure of the split-plot design.Chapter 2 introduces the notation and definitions of the mixed-level fractional factorial split-plot design.Chapter 3 mainly introduces the sufficient and necessary conditions for resolution ? 2(n1+n2)-(k1+k2)4W18W1 design that contains different clear effects and the construction method of 2?(n1+n2)-(k1+k2)4W18W1 design that contains all kinds of clear effects.Chapter 4 mainly introduces conditions for resolution ? 2(n1+n2)-(k1+k2)4W18W1 design that contains different clear effects and the construction method of 2?(n1+n2)-(k1+k2)4W18W1 design that contains all kinds of clear effects.Chapter 5 gives a brief summary of the whole article.