D- Optimum Design Contains A Polynomial Model Of Qualitative Factors

This paper consist of four chapters. In chapter1, this paper introduce thedevelopment survey and main research directions of optimal design, discuss thenecessity and important meaning of study the optimal design of the models withqualitative factors, and then, the author briefly introduce the research work of thispaper. In chapter2, we discuss some basic theory that relate to this paper. In chapter3, we consider the ways looking for the D-optimal design of the polynomial modelswith qualitative factors, moreover, we obtain the D-optimal design in the cases of thequalitative factor only interaction with the constant term and the qualitative factorinteraction with the constant term and the one degree term at the same time.Inchapter4,we do a summary of our paper and do a prospect of the future research.