Two Degree Becker Model For Mixture Design:Using D-optimal And A-optimal With Qualitative Factor

In this thesis,the problem of mixture design case,based on qualitative factors and finding A-optimal and D-optimal design for two degree Becker model is investigated.To aim of this issue,a generalization of Lee method is utilized.It should be emphasize that,there is a direct relation between qualitative factor and A-optimal and D-optimal design,such that,on the region of factors,if the qualitative factors have a uniform design then the trace of the inverse of information matrix is minimize for A-optimal design;and maximization of the determination of information matrix is essential for D-optimal design.Also,for a product function,based on 3sections corresponding to the 2-marginal design,the dispersion function can be detected.