Exploring simple independent action in multifactor tables of proportions.

The problem of assessing synergistic or antagonistic departure from simple independent action in multifactor tables of proportions is discussed. A generalized linear model is employed in which additivity corresponds to simple independent action. Data-analytic strategies are proposed for exploring departures from simple independent action in various extensions of the 2 X 2 table of proportions. This methodology is illustrated with a series of models fitted to cellular differentiation and murine toxicity data.