Restricted graphical log-linear models


  • Ricardo Ramírez-Aldana Faculty of Sciences, UNAM
  • Guillermina Eslava-Gómez Faculty of Sciences, UNAM



We introduce a new type of graphical log-linear model called restricted graphical log-linear model. This model is obtained by imposing equality restrictions on subsets of main effects and of first-order interactions. These restrictions are obtained through partitions of the variable and first-order interaction sets. The vertices or variables in the same class have the same main effects in all their categories and the first-order interactions in the same class are equal. We study its properties and derive its associated likelihood equations and give some applications. A graphical representation is possible through a coloured graph.

Author Biographies

Ricardo Ramírez-Aldana, Faculty of Sciences, UNAM

Department of Mathematics

External lecturer


Guillermina Eslava-Gómez, Faculty of Sciences, UNAM

Department of Mathematics



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How to Cite

Ramírez-Aldana, R., & Eslava-Gómez, G. (2015). Restricted graphical log-linear models. Austrian Journal of Statistics, 44(4), 17-33.