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Chapter
                                                                          2
                                    The Elements of Six Sigma
                                        and Their Determination








                        In this chapter, the concepts needed to define six sigma quality in de-
                        sign and manufacturing are differentiated from each other. Several
                        techniques  are  developed  for  analyzing  individual  parts,  as  well  as
                        higher  orders  of  complexity  such  as  assemblies,  modules,  systems,
                        and product designs. In addition, techniques for measuring manufac-
                        turing line performance are also developed for use in the six sigma
                        concept. The following topics are discussed in this chapter:
                        1. The  quality  measurement  techniques:  SQC,  six  sigma,  Cp  and
                          Cpk. This section is a review of the different methods used to de-
                          sign for quality as well as to control quality. Several techniques are
                          outlined and the differences between the methods are contrasted.
                        2. The Cpk approach versus six sigma. In this section, the concept of
                          Cpk is analyzed and compared to six sigma. The Cpk approach re-
                          duces some of the ambiguities of the 1.5   shift of the process aver-
                          age  used  in  the  traditional  Six  Sigma  calculations.  Cpk  calcula-
                          tions,  including  negative  Cpk,  are  analyzed,  and  the  effects  of
                          average shifts on Cpk are also shown.
                        3. Calculating defects using normal distribution. In this section, de-
                          fect  calculations  are  shown  for  variable  and  attribute  processes
                          and designs. Many examples are shown for different conditions of
                          average shift and process variability.
                        4. Are  manufacturing  processes  and  supply  parts  always  normally
                          distributed? Assuming normality of manufacturing process distri-


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