Construction Of Optimum Mixed Fracture Zone Design Under Pure Effect

Mixed-level fractional factorial split-plot designs are commonly used in experiments. When the levels of some factors are di?cult to be changed or controlled,fractional factorial split-plot(FFSP) designs are often used. And when the number of levels of the factors are not all equal to each other in experiments, mixed-level designs are used. If there are both two-level and four-level factors in an experiment and it is di?cult to change or control the levels of some factors, then a mixed-level fractional factorial split-plot design with both two-level and four-level factors can be used.Clear effects is one of the important rules for selecting optimal fractional factorial design, and it has become an active research issue in recent years. This paper gives upper and lower bounds on the maximum number of clear two-factor interactions in the mixed FFSP design 2(n1+n2)-(k1+k2)41w41sof resolutions III with four-level factors in both whole-plot and sub-plot sections.It consists of three chapters.Chapter 1 introduces some basic de?nitions related to experiment designs by an example ?rst; then gives the notions and the construction methods for 2n-kfractional factorial(FF) designs, 4m2nmixed-level FF designs and 2(n1+n2)-(k1+k2)FFSP designs;?nally, it gives the upper bound and lower bound on the maximum number of clear two-level interaction components for 2n-kFF designs and 4m2nmixed-level FF designs.Chapter 2 introduces notions and the construction method for the mixed-level FFSP designs 2(n1+n2)-(k1+k2)41w41s, and gives the upper bound and lower bound on the maximum number of clear two-level interaction components for resolution III2(n1+n2)-(k1+k2)41w41sFFSP designs and the construction method which are up to the the upper bound and lower bound.Chapter 3 gives a brief conclusion and raises some questions for further investigation.