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SENSITIVITY

Sensitivity allows us to reason about the ability of a given measure to discern, by means of simple calculation, one magnitude of displacement from another. The value of sensitivity is affected by uncertainty as well - uncertainty which must be propagated from formulations in §2.

We introduce another index $j$ to avoid confusion with $i$, which re-appears once the formulae are expanded. The sensitivity at a point $j$ in our new sensitivity plot should be computed as follows:

$$Sens_{j}=\frac{(\overline{m_{j}}-\overline{m_{0}})}{d_{j}}/(\overline{\sigma_{m}})_{j}=\frac{TOP}{BOTT}$$ (5)

$TOP$ and $BOTT$ are used merely to serve as aliases, which later reduce the complexity (scale) of the equations, making them more digestible.