First, you have to understand very well why you need these data, because this would be time and resources consuming job. In addition, you need a very good background in chemical kinetics and photochemistry. Think well before to start.
In catalysis when you analyze the rate dependence (rate(x,y,z, ...)) an initial point would be to carry an adequate experimental design of the testing experiments. Surface response methodology (using Box-Behnken, central composite, etc. designs) is/are the most utilized way to do it.
Another point is that normally the treatment of light (intensity, as well as more complex issues related to the rate of photon absooprtion) would need to be considered (mostly to provide results with general validity).
Finally, using (and validating) a reaction mechanism would provide you some ideas about pseudo-order(s) of reactions. This is likely the more complex point and some ideas about mechanisms based on light-included methodology (as well as ideas from spectrocopy to support them) can be found in:
Article Braiding kinetics and spectroscopy in photo-catalysis: the s...