Abstract
If the statistical analysis of a contingency table is based on one of the log-linear models in chapters 5, 6 and 7, a number of natural models are easily overlooked. Many useful models can thus be expressed as structures in the log-linear interaction parameters. In this chapter a number of such models are discussed. Many of these models can be viewed as attempts to describe the non-zero interactions by a simple structure if the analysis of the data by a log linear model has failed to give a satisfactory fit to the model. If e.g. the independence hypothesis for a two-way table has been rejected, a residual analysis will often reveal a certain structure in the two-factor interactions.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin · Heidelberg
About this chapter
Cite this chapter
Andersen, E.B. (1994). Models for the Interactions. In: The Statistical Analysis of Categorical Data. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78817-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-78817-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78819-2
Online ISBN: 978-3-642-78817-8
eBook Packages: Springer Book Archive