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.
Publié le : 1983-09-14
Classification:
Generalised interaction,
Lancaster model,
linear model log-linear model,
62E10,
62E30
@article{1176346240,
author = {Darroch, J. N. and Speed, T. P.},
title = {Additive and Multiplicative Models and Interactions},
journal = {Ann. Statist.},
volume = {11},
number = {1},
year = {1983},
pages = { 724-738},
language = {en},
url = {http://dml.mathdoc.fr/item/1176346240}
}
Darroch, J. N.; Speed, T. P. Additive and Multiplicative Models and Interactions. Ann. Statist., Tome 11 (1983) no. 1, pp. 724-738. http://gdmltest.u-ga.fr/item/1176346240/