Z term VS Sigma
Six Sigma – iSixSigma › Forums › Old Forums › General › Z term VS Sigma
 This topic has 6 replies, 6 voices, and was last updated 18 years, 1 month ago by Nick Ruhmann.

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July 28, 2004 at 5:14 pm #36319
can anybody please explain the difference between sigma and Zst/lt. I mean i know sigma is the deviation and my understanding is Z is a measure of predictability. Why would some people only measue sigma and others only use Z?
thanks
0July 29, 2004 at 1:19 pm #104607so yeah this is a shameless bump to the top. this is like one of the least complex questions i’ve seen on this board and everybody ignored it! Everybody too good to answer newbie questions? :)
Thanks for your help
0July 29, 2004 at 1:38 pm #104614Try this website.
https://www.isixsigma.com/dictionary/Sigma331.htm0July 29, 2004 at 1:53 pm #104617
Nick RuhmanParticipant@NickRuhman Include @NickRuhman in your post and this person will
be notified via email.Z term is simply the result of taking the distance from the mean to a point of interest (most cases the spec limit) and dividing it by the standard deviation. This is done so that we can use the probabilitys from the standard normal distribution and it’s Z values for an apples to apples comparison.
Simply put, all normal distributions have the same area’s under their curves to the left and right for a certain Z score, no matter what the mean and standard deviation. So we need the Z score to calculate expected PPM’s. Cpk’s are simply the Z score divided by 3. (How many 3 SD’s fit between the mean and closest spec limit)
Nick0August 13, 2004 at 2:45 am #105609The Z transform is (meanx)/SD which results in a N(0,1) distribution. I first incountered the Z transform in the education field. When two classes are graded on different scales, there is not an easy way to compare or combine the resulting grades. If you transformed both classes grades with the Z transform, then both classes are on equal footing. That is a N(0,1).
0October 25, 2004 at 12:24 pm #109634Nick,
I’m alittle confused with your response. Are you saying that the sigma level and the Zst are different? The Zst is based on the spec limit and the sigma level is some other criteria? I was taught that the sigma level and the Zst were the same. Will you explain?0October 28, 2004 at 10:45 pm #109944
Nick RuhmannParticipant@NickRuhmann Include @NickRuhmann in your post and this person will
be notified via email.Yes and No. Technically, you can caluclate the sigma level for ANY POINT OF INTEREST. It just so happens that most of the time that point of interest is a specification limit. But it doesn’t mean that I can’t calculate a sigma level for any value I so choose, as long as I specify that.
Assuming your point of interest is the specification limit, then yes they are the same. Some 6 sigma training may teach the formula for Sigma level using the specification limit specifically, I just know that the training I received had the term “point of interest” in the formula. We played with many points before then applying it to the specification limit. If someone says the sigma level of a process is 3 sigma, ie 1 Cpk, it would be assumed that they are referring to the closest specification limit.Sorry if the terms I used were confusing.
Nick0 
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