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Sigma Chart Calculations

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Sigma Chart Calculations

Plotted statistic

The subgroup standard deviation

knowctr00000098.gif

where xi are the observations in subgroup j, x-barj is the subgroup average for subgroup j, and n is the subgroup size.

Center Line

Average Sigma

UCL , LCL (Upper and Lower Control Limit)

knowctr00000099.gif

knowctr00000100.gif

where S-bar is the Average Sigma , c4 is a function of n (available in any statistical quality control textbook).

Notes: Some authors prefer to write this as:

knowctr00000101.gif

knowctr00000102.gif

where B3 and B4 are a function of n (available in any statistical quality control textbook).


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