Re: Ppk vs Cpk - A Good, clear explanation and How Mini-Tab Handles Certain Statistic
Don said: "Going back to basic stats for a moment, the calculation for standard deviation has either one of two possibilities in the denominator: n-1 or n. In school, when you knew the data for the population, you used n. When you did not know the data for the population, you used n-1. The two different types of standard deviation were designated by either sigma (population) or a lower case s (sample). Thus, just using simple logic, you would assume that Cpk is calculated for the population.
I asked the question here once what the AIAG used (I stay as far away from their stuff as I can. Gives me headaches), as the symbol in their method of calculating Ppk and the answer was the lower case s. Thus, it would seem to indicate that Ppk is the process capability for a sample and Cpk is the process capability for the population."
I agree AIAG gives me a headache. But worse are the many consultants and bloggers that are still arguing about WHICH is the LONG TERM CAPABILITY vs the SHORT TERM. Those that use X-bar-R charting for SPC, with suspicious subgroups, are trapped into using within-subgroup sigma in their capability studies....and average that over 100 or more subgroups even though the major source of variation is group to group, not within group! Can you explain how the true variance components impact short vs long term capability metrics?