I am not aware of any theoretical results which allow a comparison to be made (unless you can compare discrepancy measures). I spent a good amount of time digging through the literature in the context of numerical integration, though I'm not an expert. I wasn't looking specifically for an answer to your question, but it was always in the back of my mind. Here are two papers which make experimental comparisons between sampling methods. The first would probably be of most interest to you.
L. P. Swiler, R. Slepoy, A. A. Giunta, Evaluation of sampling methods in constructing response surface approximations, Sandia National Laboratories.
Saliby, E., Pacheco, F., An empirical evaluation of sampling methods in risk analysis simulation: quasi-Monte Carlo, descriptive sampling, and latin hypercube sampling, Simulation Conference, 2002. Proceedings of the Winter.