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September, 1983 Additive and Multiplicative Models and Interactions
J. N. Darroch, T. P. Speed
Ann. Statist. 11(3): 724-738 (September, 1983). DOI: 10.1214/aos/1176346240

Abstract

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.

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J. N. Darroch. T. P. Speed. "Additive and Multiplicative Models and Interactions." Ann. Statist. 11 (3) 724 - 738, September, 1983. https://doi.org/10.1214/aos/1176346240

Information

Published: September, 1983
First available in Project Euclid: 12 April 2007

zbMATH: 0556.62032
MathSciNet: MR707924
Digital Object Identifier: 10.1214/aos/1176346240

Subjects:
Primary: 62E10
Secondary: 62E30

Rights: Copyright © 1983 Institute of Mathematical Statistics

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Vol.11 • No. 3 • September, 1983
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