Sensitivity analysis is a method to understand how changes in function inputs affect the value of its outcome. Using SAFE TOOLBOXESTM , with just one click, you could find out how changes in cell precedents would affect its value.
SAFE TOOLBOXESTM measures the impact in three different ways: the impact of a unitary change in inputs, the impact of a 10% change in inputs and the impact of a very small change in inputs (i.e., shows a numerical approximation of the derivative function). If you are interest in just one input, you could also use the level curve plot tool to check what would be the function values when the input values are within a certain range.
To give an example of this tool, let’s perform the sensitivity analysis of the cell B9 below:
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B |
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1 |
Sensitivity analysis example |
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2 |
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3 |
x |
2 |
=2 |
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4 |
y |
3 |
=3 |
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g(x)=x^2 |
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=B3^2 |
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h(k)=2*k+1 |
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=2*B7+1 |
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k |
-1 |
=-1 |
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f(x,y,z)=x/2+y^2+g(x)+h(k) |
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=B3/2+B4^2+B5+B6 |
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10 |
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As you could note, the cell B9 have four immediate precedents: cells B3, B4, B5 and B6 and one indirect precedent, the cell B7. The cell B3 affects the cell B9 directly and indirectly, since it also influences cell B4 that affects cell B9. This chain of events is properly considered in the sensitivity analysis, since the impacts are collected effectively changing the input cell value in the background.
To run a sensitivity analysis on cell B9, follow these steps:
To see the “Sensitivity analysis” report select the
tab. You could double click it to view the table in an enlarged form.