Calculating the Overall Cpk
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- This topic has 2 replies, 3 voices, and was last updated 17 years, 10 months ago by
Reigle Stewart.
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July 3, 2004 at 9:14 am #36059
If a certain process has several parameters (with different specifications) being measured by Cpk, how do we calculate the overall Cpk? Is getting the weighted average an acceptable approach?
0July 6, 2004 at 2:14 pm #102990Jude,
No, a weighted average would not be mathematically valid….
Right or wrong we consider the overall Cpk of a process to be the lowest Cpk value of a critical parameter… The logic we use is that the process is only as good as the weakest critical parameter.
Hope this helps…
Best Regards,
Bob J0July 6, 2004 at 3:01 pm #102993
Reigle StewartParticipant@Reigle-StewartInclude @Reigle-Stewart in your post and this person will
be notified via email.Jude: Convert each Cpk to a standard normal deviate;
i.e., Z=Cpk*3. Next, you must convert Z to equivalent
yield (in Excel use normsdist(Z)). After this, you need to
multiply all of the yield values to get the rolled throughput
yield … Y.rt = Y1 * Y2 * … * Yn, where n is the number of
yield values (i.e., the number of Cpks you converted).
Then normalize the rolled yield by computting Y.norm=
Y.rt^(1/n). Finally, convert Y.norm to a Z value (using
Excel) and then divide by 3 to get the final answer …
Cpk.norm = Z.norm / 3. The resulting normalized Cpk is
“kind of like an average” but is statistically valid. Kind
Regards, Reigle.0 -
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