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Thread: Have I calculated the sensitivity coefficient correctly here?

  1. #1
    Junior Member
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    Have I calculated the sensitivity coefficient correctly here?

    I have the following formula from my text book:

    https://i.imgur.com/BZZkRzL.jpg

    So for my example, I have the following:

    Base value input: 110
    Increased input by 10%: 121

    Output before the 10% increase: 520
    Output after the 10% increase: 578

    So when calculating the sensitivity coefficient as mentioned in my text book, is this correct?

    $\displaystyle S_x=\frac{(578-520)/520}{(121-110)/110}$

    Basically, what I'm confused about are the denominators in the fraction. The "input" and "output" that you have to divide by. Am I supposed to use the values before the sensitivity analysis like I've done? Or should I use the values after the sensitivity analysis instead (so dividing the difference with 578 for output and 121 for input)?

    Thank you!!
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  2. #2
    MHF Contributor

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    Re: Have I calculated the sensitivity coefficient correctly here?

    Yes, you divide by the initial values, x and y, not the changed values, $\displaystyle x+ \partial x$ and $\displaystyle y+ \partial y$.
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