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Process Sigma based on Range Chart

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Process Sigma based on Range Chart

The process sigma of the subgroups.

Note: This is the standard deviation of the observations, NOT the standard deviation of the subgroup averages, which is calculated by dividing the standard deviation of the observations by the square root of n (the subgroup size).

knowctr00000096.gif (n = constant) , OR

knowctr00000097.gif (n knowctr00090007.gif constant)

where:

  • Rj is the Subgroup Range of subgroup j >

  • R-bar is the Average Range

  • m is the total number of subgroups included in the analysis

  • d2 is a function of n (available in any statistical quality control textbook)

  • ej and fj are Burr's constants (Burr, 1969)


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