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Topic DPMO to a Sigma Level

DPMO to a Sigma Level

Home Forums General Forums Tools & Templates DPMO to a Sigma Level

This topic contains 3 replies, has 3 voices, and was last updated by  Andrew Parr 1 month, 3 weeks ago.

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  • #699075 Reply

    Alf M

    Hi everyone,

    I was wondering if someone could help me understand the question below, the old fashioned way (Paper, Pencil & Calculator).

    The DPMO for a process is 860. What is the approximate six sigma level of the process?

    6 σ = 0.8406 + √29.37 – 2.221 x ln(860)
    =0.8406 + √29.37 -15.01
    =0.8406 + 3.7895 = 4.63

    The result is 4.63

    Question: Where 15.01 come from? What calculation ?

    I know the 3.785 come from 29.37 -15.01 = 14.36 = √ 3.7895, but where 15.01 come from? Which calculation?

    Thanks in advance I will very much appreciate the help.
    Alf

    #699093 Reply

    Have you considered @normsdist and @normsinv with excel. There are normal distribution charts that exist to do it with paper/pencil also.

    You are using the normal distribution for converting ppm defective or DPMO to sigma level. There are previous posts on this also.

    Hope this helps.

    #699271 Reply

    Mihail Sadeanu
    Reputation - 19
    Rank - Aluminum

    The correct calculation formula is:

    Process Sigma = 0.8406 + SQRT(29.37 – 2.221 * (ln(DPMO))) =
    0.8406 + SQRT (29.37 – 2.221 * 6.76) = 0,8406 + SQRT (29.37 – 14.9396) = 0.8406 + SQRT (14.4304) = 0.8406 + 3.7987 = 4.6393

    There is not any 15.01 value.

    #699360 Reply

    I’m impressed that people are still wanting to understand the calculation and how to get the correct answer with pencil and paper rather than just put the numbers into the Six Sigma Calculator on here.

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