This chapter, especially , has focused on some mathematics that will allow the experimenter to pursue design for six sigma (DFSS). The rationale for this mathematical background (review) was to present a case for the integration of six sigma methodology with scientifically based design methods ” in particular, reliability, axiomatic designs and the Define, Characterize, Optimize and Verify (DCOV) model in general.
In Volume VII of this series we are going to use this background to show how important the mathematical base is and how one may apply this knowledge to optimize designs over two phases: 1. the conceptual design for capability phase, and 2. the tolerance optimization phase. Needless to say, all that may be done with understanding and application of "robustness" in our designs, products, processes, and so on.