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Chapter 8  Su S taining   i mpr ovement          261


                           Two Rows/Columns

                           If the data have a numerator and a denominator that vary (e.g., defects/batch,
                           errors/transactions), then you will want to use the

                             •   p chart (one defect maximum per piece)
                             •   u chart (one or more defects per piece)

                             How can you tell which one to use? I ask myself “Can this widget have more
                           than one defect?” If yes, use the u chart; otherwise use the p chart.
                             Sometimes, as in this example, you can have more defects than samples. This is
                           another clue. Again, look for these patterns in the data and then select the chart.


                           Two or More Rows/Columns of Variable Data

                           Service industries don’t use these charts very often. They are mainly used in man-
                           ufacturing. If you have two or more rows or columns of variable data (time, weight,
                           length, width, diameter, or volume), then you can choose one of four charts.
                             1. XbarR (average and range, 2 to 10 rows/columns per sample)
                             2. XMedianR (median and range, 2 to 10 rows/columns per sample)

                             3. XbarS (average and standard deviation, 5 to 50 rows/columns per sample)
                               •  I-MR-R (average, moving range between subgroups and range within
                                  subgroups, 2 to 50 rows/columns per sample)

                             Your data should look like Fig. 8-7.
                             You can run the XbarR, XMedianR, XbarS,
                           or I-MR-R charts on this data. Xbar uses the

                           average as the measure of central tendency. The
                           XMedianR uses the median. If you have more
                           than five samples per period, then the XbarS
                           will probably be the most robust chart for your
                           needs. You can also use the XbarS if your data
                           have a varying number of samples per period.
                           The I-MR-R chart is like a combination of an
                           XbarR  and  XmR;  it  measures  the  variation
                           within  subgroups  with  the  Range  chart  and   Figure 8-7 • X chart data.
                           variation between subgroups using the Moving
                           Range chart.
                             Again, look for these patterns in your data and then select the chart.
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