Models for the Interactions

  • Erling B. Andersen


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.


Markov Chain Change Point Social Rank Association Model Likelihood Equation 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1994

Authors and Affiliations

  • Erling B. Andersen
    • 1
  1. 1.Department of StatisticsUniversity of CopenhagenCopenhagen KDenmark

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