I am working on a model fitting project in which I want to estimate the best fitting parameters of my computational model (3 key parameters of interest) using the chi-square goodness of fit test and to do so want to minimize the chi-square statistic for parameter estimation, using the simplex optimisation algorithm. Can some one help me by explaining how we can perform this in Matlab? Can we use the optimisation toolbox GUI for it? if so how (or where can I find the instructions)?
Secondly, are there any other parameter optimization algorithms we could use for such model fitting and best fit parameter estimation processes, when using chi-square goodness of fit?
Thanks in advance for your help!