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Six Sigma for Electronics Design and Manufacturing
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                                  Figure 5.7 Accuracy and precision target example.


                        process and measurement errors add up algebraically, whereas the
                        standard deviations add up in the squares, as shown in Figure 5.8


                     5.3.1  GR&R methodology
                     GR&R  methodology  consists  of  quantifying  the  measurement  error
                     due to equipment and operators. Data is collected by several opera-
                     tors measuring the same set of parts on the same equipment. The av-
                     erage  ranges  of  the  part  measurements  determine  the  equipment
                     variability, and the differences in the measurement averages deter-
                     mine the operators’ (appraisers) variability. The methodology for at-
                     taining the GR&R of a measurement system is as follows:

                     1. The parts to be used in the GR&R study should be identified. Up to
                        10 parts are normally used from the same production process.
                     2. Up  to  three  skilled  operators  should  be  identified  to  make  the
                        measurements. They should be familiar with the parts and meas-
                        urement equipment.
                     3. Each  operator  then  measures  each  part  on  the  same  equipment
                        several times; these measurements are called trials. Usually up to
                        three trials are made by each operator.
                     4. The errors are thus generated by n parts, which are measured and
                        repeated r times by different operators (A, B, and C). It is assumed
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