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  Statistical Techniques and 6 Sigma
  + Only tolerance type dimension

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Author Topic:   + Only tolerance type dimension
Stephen Colclough
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posted 04 April 2000 11:00 AM           Edit/Delete Message   Reply w/Quote
I have a problem. A dimension 39.5 -0/+0.5 is defined as a capability dimension. On completion of the study the cpk is 0.4289 with the mean 39.53 and an average range of 0.08. All readings are in tolerance with a minimum size of 39.5 and maximum 39.62. This cpk value was calculated using standard formula, is their an alternative formula to account for a one sided tolerance?

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Don Winton
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posted 04 April 2000 11:27 AM     Click Here to See the Profile for Don Winton   Click Here to Email Don Winton     Edit/Delete Message   Reply w/Quote
You supplied R-Bar but failed to supply subgroup size or an unbiased estimate of sigma. In order to calculate Cpk, I need one of these two variables.

For your reference: The capability number you are interested in is termed Cpk(upper), not Cpk, and is calculated:

Cpk(upper) = (USL - Xbar)/(3*sigma-hat)

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pdboilermaker
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From:Russiaville, Indiana, USA
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posted 04 April 2000 06:59 PM     Click Here to See the Profile for pdboilermaker   Click Here to Email pdboilermaker     Edit/Delete Message   Reply w/Quote
We have the same type of tolerances - you must be a japan jv. We just set our nominal at {the nominal + 1/2 of the tolerance}

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Batman
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posted 08 April 2000 06:25 PM     Click Here to See the Profile for Batman   Click Here to Email Batman     Edit/Delete Message   Reply w/Quote
I think you calculated correctly. It is easy to see that your distribution is too close to the lower tolerance.

By my eyeball estimate, if you get the mean to 39.75, the middle of the tolerance band, and not change anything else, your Cpk should be around 3 - 3.5. So I would try to move the mean up if you need a better Cpk.

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