The interaction index, isobologram and the appropriate contour of cons
tant response of a dose response surface each offer essentially equiva
lent information regarding departures from additivity in a chemical co
mbination. The benefit of relating the interaction index and isobologr
ams to a contour of a fitted dose response surface is that departures
from additivity can be related to parameters of a statistical model. T
his permits an assessment of the statistical significance of the param
eters and conclusions regarding the nature of departures from additivi
ty which account for the variability inherent in the experiments used
to generate the data. Relationships between statistical models and exp
erimental designs can be exploited to yield economical designs for stu
dying chemical combinations.