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.