Wednesday, May 26, 2010

What process variation component do Cp, Cpk capture?

Cp and Cpk account for within subgroup variation only. This can be seen from the formulae used for the calculations…





In the above formulae process sigma is calculated using the formula given below:


where
Rbar is the average range of the total subgroups
d2 is a statistical constant based on the subgroup size
R or Range is the difference between maximum and minimum of the readings within a subgroup i.e. it accounts for the variation within subgroup.

Thus Cp, Cpk account for within subgroup variation and do not consider subgroup drift in the data.
To find capability of processes considering within subgroup variation as well as subgroup drift, use the Pp, Ppk indices.

How do you measure process capability? What indices do you use?