see image for questions

This is a simplied example, but it represents a problem that comes up frequently: given a set of uncertain inputs and a limited budget, which of them matter enough to warrant further research? Provide a brief discussion comparing the sensitivity indices that you found in Part A (local OAT) and Part B (total-order global sensitivity). Do they provide the same ranking of importance? If so, why? If not, why not? Is there anything about the mathematical form of the function that would make the results similar or different? What about the rst-order indices from Part Bdo these provide the same ranking as the local OAT sensitivity indices from Part A? Why or why not? Briey discuss the consequences of using OAT rather than global sensitivity analysis for this problem. Do you think this is a generalizable result? Explain