I have a scientific ideology that data should be presented to the outside world in simple, clear forms, but should be analyzed in cluttered jumbles. Above is the plot that finally made sense and eventually became my Ph.D. thesis and a paper published in the Journal of the American Chemical Society. (Each experiment is a different line, and there are many dozens overlaid here, semi-color coded by day it was performed.)
Although it looks like a mess, there is a multi-dimensional pattern in all the lines laid on each other. It is not unlike the patterns that make a story or a song interesting. One has to be willing to find it.