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Control Charts rules for quality control
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Control Charts rules for quality control
1.
Control Charts Variables Moving Range N=1 Xbar
R 2β€ π β€ π Xbar S Nβ₯ π Attributes Non-confirming (defective) Variable sample size Variable approximate standardized Constant sample size Non-comformities (Defects) C chart
2.
Xbar S charts Data
Given Standard Given S chart πΌπͺπ³ π = π© π &πΊ πΌπͺπ³ π = π© π π πΆ CL=&πΊ = βπΊ π΄ CL=&πΊ π³πͺπ³ π = π© π &πΊ π³πͺπ³ π = π© π π πΆ Xbar Chart πΌπͺπ³*πΏ = )πΏ + π¨ π &πΊ πΌπͺπ³*πΏ = πΏ πΆ + π¨π πΆ CL=)πΏ = β*πΏ π΄ CL=)πΏ π³πͺπ³*πΏ = )πΏ β π¨ π &πΊ π³πͺπ³*πΏ = πΏ πΆ β π¨π πΆ S= β ,!- ., " /-0 π1= Μ 3 4# Xbar R charts Data Given Standard Given R chart πΌπͺπ³ πΉ = π« π &πΉ πΌπͺπ³ πΉ = π« π π πΆ CL=&πΉ = βπΉ π΄ CL=&πΉ π³πͺπ³ πΉ = π« π &πΉ π³πͺπ³ πΉ = π« π π πΆ Xbar Chart πΌπͺπ³*πΏ = )πΏ + π¨ π &πΉ πΌπͺπ³*πΏ = )πΏ + π¨π πΆ CL=)πΏ = β*πΏ π΄ CL=)πΏ π³πͺπ³*πΏ = )πΏ β π¨ π &πΉ π³πͺπ³*πΏ = &)πΏ β π¨π πΆ π8= 9 / π1= .: ;" M= number of samples N= number of observation in one sample MR chart ππ = π< β π<-0 πΌπͺπ³ π΄πΉ = π« π π΄πΉ CL=π΄πΉ = βπ΄πΉ π΄-π π³πͺπ³ π΄πΉ = π« π π΄πΉ Xbar Chart πΌπͺπ³*πΏ = )πΏ + π π΄πΉ π π CL=)πΏ = βπΏ π΄ π³πͺπ³*πΏ = )πΏ β π π΄πΉ π π Non-confirming (variable sample size) π·π = π«π ππ Variable UCL= &π· + π *π· π-*π· π π CL=&π· π³πͺπ³ = &π· β π *π· π-*π· π π or zero if value is negative sign Non-confirming (variable sample size) π·π = π«π ππ Standardized UCL= π CL=0 π³πͺπ³ = βπ ππ = π·π β &π· &π· π β &π· ππ Non-confirming (variable sample size) π·π = π«π ππ Approximate UCL= &π· + π *π· π-*π· *π CL=&π· π³πͺπ³ = &π· + π *π· π-*π· *π or zero if value is negative sign Non-confirming (Constant sample size) UCL= ππ· + π ππ· π β &π· CL=ππ· π³πͺπ³ = ππ· β π ππ· π β &π· or zero if value is negative sign Non-conformities C-chart UCL= &πͺ + π &πͺ CL=&πͺ = βπͺ π΄ where C is number of defects π³πͺπ³ = &πͺ β π &πͺ or zero if value is negative sign Control Charts Variables Moving Range N=1 Xbar R 2β€ π β€ π Xbar S Nβ₯ π Attributes Non- confirming (defective) Variable sample size Variable approximate standardized Constant sample size Non- comformities (Defects) C chart
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