Boolean experimental designs

Experimental designs are generally interpreted using a polynomial mathemati cal model. But this mathematical model is not always appropriate and may so metimes not describe the phenomenon studied. Boolean experimental designs c an be conceived if the factors and the response can be treated as boolean v ariables. The results provided are then interpreted using Boolean algebra. We have treated a real example, the settings of an instrument for analytica l chemistry using both classical and boolean interpretations. The classical treatment give surprising results, with one strong interaction between two non-influent factors and interactions of order 3 and 4. The boolean interp retation gives comprehensive results and provides simple rules for the inst rument settings. Boolean modelling for the responses of an experimental design opens a new a nd complementary approach to the classical method that uses generally mathe matical polynoms. In some cases it can provide a better interpretation of t he phenomenon than the ordinary methodology.