In this paper we create the connection of wrap-around-discrepancy and aberration of regular fractional factorial designs with two and three levels. For any level we give the connection of uniformity and orthogonality only for complete design.

In previous chapters we analyzed data from so-called one-way experimental designs, in which subjects were randomly assigned to groups that di↵ered on a single treatment or grouping variable. In this chapter we will analyze data from factorial experiments. Factorial experiments contain two or more experimental variables. In a completely crossed factorial experiment, each level of every variable ...

In previous chapters we analyzed data from so-called one-way experimental designs, in which subjects were randomly assigned to groups that di↵ered on a single treatment or grouping variable. In this chapter we will analyze data from factorial experiments. Factorial experiments contain two or more experimental variables. In a completely crossed factorial experiment, each level of every variable ...

Regular two-level fractional factorial designs are often used in industrial experiments as screening experiments. When some factors have levels which are hard or expensive to change, restrictions are often placed on the order in which runs can be performed, resulting in a split-plot factorial design. In these cases, the hard or expensive to change factors are applied to whole plots, whereas the...

This paper addresses the challenging task of computing multiple roots of a system of nonlinear equations. A repulsion algorithm that invokes the Nelder-Mead (N-M) local search method and uses a penalty-type merit function based on the error function, known as 'erf', is presented. In the N-M algorithm context, different strategies are proposed to enhance the quality of the solutions and improve ...

In k 2 experimental design, the classical fractional factorial designs, the Plackett-Burman designs and the Taguchi orthogonal-array designs all require, with few exceptions, n 2 test conditions, for some k n ≤ . Tsao and Wibowo (2005) pointed out that when only m of the k 2 effects/interactions are non-zero, only m test conditions are required for their estimation. Given the identities of m pr...