I have an experiment where I'm measuring some physical quantity Q as a function of 3 variables which I can physically control (x,y,z). I'm collecting many samples of Q and (x,y,z) and then I can create an interpolation function given these samples.

One of my coworkers raised the possibility that the function should actually be a 2D function with the variables (xy,z). In other words, that if I take all of the points with equal xy and z, the function Q(x,y,z) would have the same value.

I'm looking for a good way to test this assumption and possibly visualize this result.

  • $\begingroup$ If y = f(x) or x = f(z) etc. this might be done. I suggest visual inspections of scatterplots to see if any of these variables might be determined as a function of a different variable. It is worth a quick check just to see if anything obvious turns up. $\endgroup$ – James Phillips Apr 13 '18 at 15:10

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