ANCOVA and Kucherenko sensitivity analysis methods

I have a general question about ANCOVA and Kucherenko methods. As I understood after a read through that these two methods are dedicated for dependent input random variables. However, both of these methods are applicable regardless of the dependence since we can get the output of uncorrelated input variables and show the independent contributions.

So, if I apply these methods for a computational model that does not have any dependence or correlations for the inputs, does that mean that the sensitivity indices results are similar from the Sobol’ sensitivity indices method since I read that the ANCOVA is a way to generalize the formulation of Sobol’ indices for dependent input case?

Basically, can I actually do a comparison between the results from Sobol’, ANCOVA and Kucherenko methods?

Thank you for clarifying my question!

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