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SPC on Non-Normal (Walled) Data

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  • #247441

    scientist doe and validation
    Participant

    Dear all,

    I am new to this forum, hope someone can help me out with the question below.

    My team is trying to setup statistical process control on a leak tightness measurement. The process generating the data is an inline leak tightness measurement which can give a ‘0’ reading, or a value slightly above ‘0’. For this leak tightness measurement there is an upper spec limit defined, so minor leakage is allowed. Since the data is not normal, but ‘walled’ (with all the ‘0’ values), I think it is not allowed to use the regular rules for statistical process control. Any suggestions on how to still monitor and control this process?

    Thanks in advance.

    Kind regards,

    Ramon

     

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    #247444

    Robert Butler
    Participant

    I’m not sure what you mean by the regular rules.  If you mean the issue of control limits based on standard deviations about the means then you can still use them.  The issue is one of expressing the data in a form that will allow you to do this.  When you have an absolute lower bound which is 0 the usual practice is to add a tiny increment to the 0 values, log the data, find the mean and standard deviations in log units and then back transform.  What you will get will be a plot with asymmetric control limits.  Once you have that you can press on as usual.

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    #247581

    scientist doe and validation
    Participant

    Dear Robert,

    Thank you for the reply. I was indeed unsure whether control limits based on the mean and standard deviations would give a meaningful result. Excellent suggestion to log the data, to avoid an LCL below zero. I will try this method on the data and discuss in the team if we could adopt this approach. thanks again.

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    #247583

    Fausto Galetto
    Participant

    Do you have any “distribution” of your data, in the interval 0___A?

    IF YES, you have to find the SAMPLING Distribution of the MEAN and then derive the LCL and UCL from that.

    IF NO, you have

    1. to ESTIMATE the Distribution of your DATA,
    2. and from that find the SAMPLING Distribution of the MEAN and then derive the LCL and UCL from that

    Which is your case?

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    #247593

    Shamshul othman
    Participant

    The normality conditions you refer to is a requirement for normal distributions in the parametric statistics. But you can also use other types of suitable distributions or utilize the non parametric statistics or even convert it to a discrete category. However if your Tightness data is an input variable to Leakage as the output variable then using it without normality conditions in control chart is ok.

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    #247660

    [email protected]
    Participant

    I have done hundreds of leak testers, with no problem

    assure that you have a maximum of 10% gage resolution.

    use normal Gage R & R, with Normal Bell Curves.

    Use SPC with Normal or Pearson Curve

     

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