JSM 2005 Online Program

Abstract #303529

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	143
Type:	Contributed
Date/Time:	Monday, August 8, 2005 : 10:30 AM to 12:20 PM
Sponsor:	Section on Statistical Computing
Abstract - #303529
Title:	Multiplicative Interaction Models in R
Author(s):	Heather Turner*+ and David Firth
Companies:	The University of Warwick and The University of Warwick
Address:	Dept of Statistics, Coventry, CV4 7AL, United Kingdom
Keywords:	multiplicative interaction models ; R ; generalized nonlinear models ; contingency tables ; sociology ; crop science
Abstract:	The "linear" in generalized linear models can be relaxed to allow complex interactions to be represented for economy and interpretation as a product of simpler linear predictors. Prominent applications include the row-column association models introduced by Goodman for contingency tables, the log-multiplicative or UNIDIFF (uniform difference) models used in sociology to describe the dependence of social fluidity on time or place, and the GAMMI (generalized additive main effects and multiplicative interaction) models used in crop science to describe genotype by environment interactions. This talk will introduce the R package "gnm," which provides facilities for the specification and maximum likelihood computation of generalized nonlinear models, such as the multiplicative interaction models described above. A feature of the package is the use of the Moore-Penrose generalized inverse in order to work with overparameterized representations of models. This is a development of the method used in the antecedent Xlisp-Stat package "Llama."

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