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best interpolation method for a small sample size

Question asked by tweddale on Jul 3, 2018
Latest reply on Jul 19, 2018 by slynch-esristaff

I have 12 point measurements of noise (decibels) that I need to interpolate over a 100 sq. km area.  Are there any interpolation methods that are well suited for small sample sizes?  Based on some earlier posts to this forum, I saw a suggestion for Kernel Interpolation with Barriers and just don't supply a barrier and IDW.   What about Empirical Bayesian Kriging, or should I eliminate any kind of kriging as a possibility due to the small sample size?  What about machine learning techniques? 

Thanks in advance for any suggestions