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.
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© 1991 Springer-Verlag Berlin · Heidelberg
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Andersen, E.B. (1991). Models for the Interactions. In: The Statistical Analysis of Categorical Data. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97353-6_10
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DOI: https://doi.org/10.1007/978-3-642-97353-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-97355-0
Online ISBN: 978-3-642-97353-6
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