UCL and LCL

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UCL and LCL

New postby vizhi on Fri Nov 06, 2009 9:39 am

Hi...
What is the explanation of UCL and LCL?
How to calculate?
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Re: UCL and LCL

New postby rekha on Fri Nov 06, 2009 11:04 am

UCL(UPPER CONTROL LIMIT),LCL(LOWER CONTROL LIMIT) is calculated from process data to determine what the process considers the area where it will vary inside if there are only common causes happening. The calculation is often automatically done by software and the formula's used depend on the type of control chart.

Sorry I don't know the formula.
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Re: UCL and LCL

New postby nirmala on Sat Nov 07, 2009 3:57 pm

Hi...
LCL and UCL are actually pretty easy to calculate. They are 3 standard deviations from the mean. So you need the mean, first.
Here are the formulas
Mean
Sum(I=1 to n, Metric[I]) / Sum(I=1 to n, size of Item[I])

Upper Control Limit (UCL)
Mean + 3*Sqrt( Mean / Average item size)

Lower Control Limit (LCL)
Mean - 3*Sqrt( Mean / Maximum item size)
LCL is never allowed to be less than zero
“Maximum item size” makes LCL more sensitive
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