I've read that when determining process capability for a non-normal distribution, the process spread can be evaluated by finding the 0.135 and 99.865 percentile points using a probability plot. From this, I infer that the sigma value to be used in the capability calculations would be 1/6 of the spread. Using Minitab 14, I generated a column of data and then used the Individual Distribution Identification macro to obtain the percentile points. That macro concurrently reports the descriptive stats. (The generated data was Weibull 3-parameter, and the Identification macro was set to evaluate for this distribution). In this case, the std dev was reported as 2.25, while 1/6 of the "process spread" was 2.77. Moreover, the Minitab non-normal capability analysis (again selecting 3-parameter Weibull) reports only Ppk (1.22) due to 1-sided tolerance setup; Cpk is absent. Now, when the data is evaluated using a Box-Cox transform, Ppk drops to 1.00, and a Cpk value is given. So, my question is: Which is the better way to calculate process capability for non-normal data? It would appear that, in this case, the quantile method would yield a more optimistic result.
Sign In to get started!
Comments
qdigest 11/15/2001
Ann, Looks like you've named some of the really big ones, particularly culture change--especially if that means management support for that type of change. You didn't mention Quality Management System in your list, unless that was understood. You have to have some system of measuring, analysing and providing process improvement feedback in order to achieve your goal, otherwise how do you motivate and instruct the employees now responsible for quality that they are doing their job well. That's what programs like ISO 9000, Six Sigma, lean manufacturing, etc. are all about. Not that any or all of these are the quality golden bullet, but they represent the attempt to systemize your quality proces.
I suggest that you post your question the other InsideQuality forums as well. All of our moderators will be able to weigh in on your question.
--Dirk