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Average Sigma

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Average Sigma

The average of the subgroup sigma (S-Bar).

knowctr00000103.gif (n = constant) , OR

knowctr00000104.gif (n knowctr00090007.gif constant)

where:

Note: When control limits for the X-Bar chart are defined as fixed values (such as when historical data is used to define control limits), the Average Sigma (S-bar) must be back calculated from these pre-defined control limits. This ensures that the control limits on the Sigma chart are at the same sensitivity as those on the X-Bar chart. In this case:

knowctr00000105.gif

where d2 (available in any statistical quality control textbook) is based on the subgroup size n.


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