Construction of Asymmetric Fractional Factorial Designs

J. A. Adepoju, R. A. Ipinyomi

In this paper, a method of constructing Asymmetric Fractional Factorial Designs, (AFFD) is presented. This method is based on the extension of a similar concept for symmetric fractional factorial designs (SFFD). A factorial design consisting of n factors is said to be symmetric if, and only if, each factor has the same number of levels, otherwise it is called and asymmetric factorial design. The confounded interactions, and the corresponding confounded degrees of freedom, were determined. The aliases structures and the class of resolution achieved by the constructed designs were determined. Each design obtained and listed achieved a minimum of Resolution III or higher level.