SUMMARYData fitting is an important technique in chemistry. The number of parameters to be fitted is a most significant aspect: the larger the number, the more difficult the task. A unique combination of target factor analysis with nonlinear data fitting can result in complete or partial separation of the parameters, which can then be fitted independently. Thus, instead of one multiparameter fit, several fits are performed with only one or a few parameters. The procedure can also support model development. Applications in kinetics and chromatography are presented.