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Response surface methodology is used to study the effectiveness of different grounding schemes implemented for the mitigation of a single-line-to-ground fault in a medium voltage DC (MVDC) power system. Multivariate adaptive regression splines (MARS) models are used to obtain preliminary functional relationships between the input parameters and response variables of the MVDC power system. From the MARS models, probability density plots are constructed for each response variable under all grounding schemes. Additionally, for the different grounding schemes, Sobol total sensitivity indices are computed to gauge the impact of the input parameters on the response variables. Lastly, for response surface models in which MARS shows significant prediction error, maximum likelihood estimation Gaussian process (MLEGP) models are built.