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Cumulative Sum (CUSUM) Calculator | Upper, Lower Control Limit

Cusum calculator helps to detect the quality control related problems. The cumulative sum is the sum of difference between the values and the average.

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Cumulative Sum (CUSUM) Calculation

Enter the X values separated by comma,
Decision Interval (h):
Reference Value (k):
Target Mean (μ):
 
Result
Average Run Length(ARL) of Cusum:
Upper Control Limit (UCL):
Lower Control Limit (LCL):

  
   
  
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Formula:







Where,
St = Avaerage Run Length,
μ = Target Mean,
σ = Standard Deviation,
k = Reference value,
Ci+ = Upper Control Limit (UCL)
Ci- = Lower Control Limit (LCL)

CUSUM is a statistical method used for detecting the quality changes and to determine the corrective action on time. Cumulative Sum calculation is made easier here.