The Design and Analysis of 2k-p x 2q-r Inner and Outer Array Experiments

Abstract

Inner and outer array designs are useful for the development of robust products. In this article we will provide a discussion of their design and analysis from a classic factorial and fractional factorial design standpoint. In particular we will focus on inner and the outer arrays composed of two-level fractional factorials. Confounding, split plotting, split plot confounding, and economics will be discussed and we will show how savings in terms of runs or increased information sometimes can be achieved.