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Six Sigma for Electronics Design and Manufacturing
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                        bution is an important part of calculating defects, yields, and per-
                        forming other statistical analyses of six sigma. In this section, the
                        requirements for assuming normal distribution of manufacturing
                        processes are examined, as well as tests that can be made to re-
                        view normality of data. In addition, methods for handling nonnor-
                        mal distribution of data for six sigma analysis are also shown.
                     2.1 The Quality Measurement Techniques: SQC,
                     Six Sigma, Cp, and Cpk
                     These quality techniques were developed originally for manufacturing
                     quality and then used for determining product design quality. Six sig-
                     ma has been used alternately with various assumptions of the manu-
                     facturing process average shift from the design specifications to set
                     the defect rate due to design specifications and manufacturing vari-
                     ability.
                     2.1.1  The statistical quality control (SQC) methods
                     Control charts have been traditionally used as the method of deter-
                     mining the performance of manufacturing processes over time by the
                     statistical characterization of a measured parameter that is depend-
                     ent on the process. They have been used effectively to determine if
                     manufacturing is in statistical control. Control exists when the occur-
                     rence of events (failures) follows the statistical properties of the distri-
                     bution of production samples.
                       Control charts are run charts with a centerline drawn at the man-
                     ufacturing process average and lines drawn at the tail of the distri-
                     bution at the 3   points. If the manufacturing process is under sta-
                     tistical  control,  99.73%  of  all  observations  are  within  the  limits  of
                     the  process.  Control  charts  by  themselves  do  not  improve  quality.
                     They merely indicate that the quality is in statistical “synchroniza-
                     tion”  or  “in  control”  with  the  quality  level  at  the  time  when  the
                     charts were created.
                       A conceptual view of control charts is given in Figure 2.1. The out-
                     of-control conditions indicate that the process is varying with respect
                     to  the  original  period  of  time  when  the  process  was  characterized
                     through the control chart, as shown in the bottom two cases. In the
                     bottom case, the process average is shifted to the right, whereas in the
                     next higher case, the process average is shifted to the left. For the two
                     processes shown in control, the current average of the process is equal
                     to the historical one that was determined when the chart was created.
                     The top chart shows a process that is centered with the historical av-
                     erage,  and  with  a  small  amount  of  variability,  indicating  that  the
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