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Capability calculations for True Position

VinniUSMC
Has anyone come across this as a means of calculating Cpk of a true position?

http://documentation.statsoft.com/ST...tionCapability

I think it should be possible, but I'm not sure if this is the answer or not. I was thinking about how something along the lines of the complex plane (or vectors/trig) could be used to identify grouping of a positional tolerance based on its quadrant within a unit circle, and then could be used to calculate Cpk. It's not unheard of. The normal distribution of a multivariate system is calculable, so why wouldn't a statistic that is related to the normal distribution in 1 variable work for higher dimensions?

I'm thinking that there must be a way to calculate the variance of position based on the the quadrant it falls in. Whether it's a trigonometric function, or a complex function.

Anyone have any input as I dive into this blackhole?

Curiosity killed the cat, hopefully I'm not a cat.

Parents
  • I suppose you are on point with this:

    The points where the relevant plane intersects the tolerance circle are determined. This means that the distance
    from the tolerance circle to point of balance can be calculated, in two directions. By dividing these distances by
    three standard deviations, two Cpk values are obtained.

    By means of the calculated standard deviation and the distance between the two points of intersection, which
    makes up the tolerance zone in the relevant direction, Cp can be calculated for the orientation given by the plane in
    question.


    Page 27.
Reply
  • I suppose you are on point with this:

    The points where the relevant plane intersects the tolerance circle are determined. This means that the distance
    from the tolerance circle to point of balance can be calculated, in two directions. By dividing these distances by
    three standard deviations, two Cpk values are obtained.

    By means of the calculated standard deviation and the distance between the two points of intersection, which
    makes up the tolerance zone in the relevant direction, Cp can be calculated for the orientation given by the plane in
    question.


    Page 27.
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