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Everything about Variance-based sensitivity analysis

Form of global sensitivity analysis

Variance-based sensitivity analysis is a form of global sensitivity analysis. Working within a probabilistic framework, it decomposes the variance of the output of the model or system into fractions which can be attributed to inputs or sets of inputs. For example, given a model with two inputs and one output, one might find that 70% of the output variance is caused by the variance in the first input, 20% by the variance in the second, and 10% due to interactions between the two. These percentages are directly interpreted as measures of sensitivity. Variance-based measures of sensitivity are attractive because they measure sensitivity across the whole input space, they can deal with nonlinear responses, and they can measure the effect of interactions in non-additive systems. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Variance-based sensitivity analysisA 5-minute orientation
  2. Skim a recent paper: Variance-based global sensitivity analysis for rear-end crash investigation using deep learningInfluential work since 2022
  3. Pick up a classic book: NanosystemsThe most-reprinted book on the subject
  4. Read the landmark paper: Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity indexCited 3,417 times
  5. Go sideways: Fourier amplitude sensitivity testingA closely related topic
  6. Go sideways: Gauss–Markov theoremA closely related topic

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