? How to set specification of product dimensions?

Question

I am such a novice in JMP and statistics. I have basic questions for experts here.

The data I have is product dimension. I have ‘min’ dimension data, and ‘max’ dimension data around 30 points for each. And with these data, I need to propose to team min and max dimension specification.

In JMP11, I used Analyze>Distrubution and found most of the data are slightly skewed, and there are some with a few outlier points.  I checked continuous fit – normal – fitted normal - goodness of fit: which shows Prob<W less than 0.05.

Traditionally I was told that we just take mean/average then +- 3 STDEV, which I don’t find it appropriate in this case.

If I could be pointed out proper analysis of my data, and how I should be setting specification, or JMP article I should read, I would appreciate very much.

Thank you,

Nan

nan_beck · Answer

Thank you very much for your suggestion Karen. And the e-Handbook looks very useful.

nan_beck · Answer

Thank you very much for your suggestion.

KarenC · Answer

Nan, I like to use tolerance intervals for helping to set spec limits.  The online (NIST/SEMATECH e-Handbook of Statistical Methods) engineering stats book has a section (end of chapter 7) on both tolerance intervals based on normal distributions and a non-parametric version.  I would start there and then you can explore further.  You are correct to note that using the mean +/- 3 standard deviations might result in spec limits that you can meet given you might be looking at skewed distributions.