What is a good test for hypothesis testing of a complex deterministic model? What I'm doing: I have a complex system of nonlinear differential equations. I must solve them numerically. There are about 22 input parameters that I have rough physiological ranges for and I use a genetic algorithm to determine possible solutions. Once I have (numerical) solutions, I can make abstract analyses on the output data generated by the the model (like wave width, rise-time, fall-time, etc). What would be a good statistical test to find correlations and functional relationships between the input parameters and these abstract output quantities.