Abstract
In modern applications of response data analysis, it has been found that there are stimuli which are independent for some com-binations of levels antagonistic for other and synergistic for some other combinations of levels. Obviously the classical models of stimuli re-sponse function fail to portray such inconsistent behaviour of the stim-uli. The classical model also fail to represent response functions of increasingly synergistic stimuli. Thus it has become necessary to build another type of models to represent relations of both synergistic and an-tagonistc for some combination of levels. This paper will propose a new model that can well explain such inconsistent behaviour of two jointly acting stimuli.