Cumulative Count Control Chart
Six Sigma – iSixSigma › Forums › Old Forums › General › Cumulative Count Control Chart
 This topic has 5 replies, 6 voices, and was last updated 15 years, 11 months ago by TYC.

AuthorPosts

September 17, 2002 at 6:30 am #30355
RaymondParticipant@Raymond Include @Raymond in your post and this person will
be notified via email.I will be very appreciated if anybody could tell me how to calculate the Cumulative Count Control Chart(CCC Chart)control limit & its center line, because I do not know how to define the parameter Alpha in its formula of control limit.
Best Regards…..0September 17, 2002 at 1:21 pm #78976
James AParticipant@JamesA Include @JamesA in your post and this person will
be notified via email.Raymond – I’ve never yet used one of these, but have been able to track down the following references which may be of help (or they may not) “Implementing Six Sigma” by Forrest W. Breyfogle III has a largeish section on CUSUM charts. MiniTab’s Help section also goes into some detail (with worked examples) if you have access to a copy of that.
As I understand it your centre line should be a zero value, i.e. you are looking at the cumulative sums of the deviation of your samples from a target value. No deviation from target, no problem, hence value = 0.
UCL and LCL are +/ 3 sigma from this 0 value, and the sigma is estimated from MRbar/d2 (as per usual guesstimates of sigma) so you will need some historical (hysterical??) data to start with to get a current sigma value to work with. The moving range is of length 2, since consecutive values have the greatest chance of being alike.
None of the formulae I’ve looked at refer to ‘alpha’ but I’m guessing here that it may refer to an acceptable quality level – so is there an acceptable reject level as well in your formula? If this alpha is the case, then you are probably using the chart to determine incoming parts quality.
Now I’ve stuck my neck on the block, is anyone else out there prepared to offer any further constructive comment to help Raymond out on CUSUM charts??
James A0September 17, 2002 at 2:23 pm #78979
Ben RoyalParticipant@BenRoyal Include @BenRoyal in your post and this person will
be notified via email.Both the Grant and the Montgomery texts on statistical quality control cover CUSUM charts in depth. Difficult to completely cover given limited space available here.
0September 18, 2002 at 8:46 am #78990
QAS ReporterParticipant@QASReporter Include @QASReporter in your post and this person will
be notified via email.in addition to minitab, we’ve been using hertzler software purportedly developed with motorola in the early 1980’s to help collect and calc cusum and all the other sigma, defect management and spc related stats… the online help files have detailed explanations of how its done (http://www.hertzler.com)
0February 20, 2006 at 3:57 am #134007I posted this reply because I too was looking for advice on CCC chart. I think this is not the same as Cusum chart, so for the benefit for others who may chanced upon this, I hope this will lead them to the answers.
I believe Raymond meant Cumulative Count of Conformity chart.
CL=0.7/(pbar)
LCL=(alpha/2)/(pbar)
UCL=ln[(alpha/2)/(pbar)]
pbar, estimate of defective proportion, alpha producer risk
Use typically when pchart is not applicable because n*p <5.
I do not have the reference but was told it can be found in “Statistical Quality Control” 7th Edition by Eugene Lodewick Grant, Richard S. Leavenworth. Publisher McGraw Hill, 1996.0February 20, 2006 at 4:23 am #134008Ooops! Make a boo boo. I assume it can be found in the SQC text since that was the reference given for the SQC course that I attended. But it turned out that this might be from published paper by the instructors. Check this out:
http://www.ise.nus.edu.sg/research_groups/quaeng/journalpapers.html0 
AuthorPosts
The forum ‘General’ is closed to new topics and replies.