In quantitative biology, observed data are fitted to a model that capt
ures the essence of the system under investigation in order to obtain
estimates of the parameters of the model, as well as their standard er
rors and interactions. The fitting is best done by the method of maxim
um likelihood, though least-squares fits ore often used as an approxim
ation because the calculations are perceived to be simpler Here Brian
Williams and Chris Dye argue that the method of maximum likelihood is
generally preferable to least squares giving the best estimates of the
parameters for data with any given error distribution, and the calcul
ations are no more difficult than for least-squares fitting. They offe
r a relatively simple explanation of the methods and describe its impl
ementation using examples from leishmaniasis epidemiology.