The Annals of Statistics
- Ann. Statist.
- Volume 11, Number 3 (1983), 724-738.
Additive and Multiplicative Models and Interactions
A unified treatment is given of the classical additive models for complete factorial experiments and of multiplicative models and Lancaster-additive models for multi-dimensional contingency tables. The models are characterised by properties of being simplest subject to having a prescribed set of marginals. It is shown that, by using averaging operators and the notion of a generalised interaction, the interaction properties of these models can be derived very simply.
Ann. Statist., Volume 11, Number 3 (1983), 724-738.
First available in Project Euclid: 12 April 2007
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Darroch, J. N.; Speed, T. P. Additive and Multiplicative Models and Interactions. Ann. Statist. 11 (1983), no. 3, 724--738. doi:10.1214/aos/1176346240. https://projecteuclid.org/euclid.aos/1176346240