Restricted graphical log-linear models

Austrian Journal of Statistics

article

Ricardo Ramírez-Aldana¹  Guillermina Eslava-Gómez¹ 

[1] Faculty of Sciences, UNAM

关键词: graph colourings;    graphical Gaussian models with symmetries;    graphical log-linearmodels;    iterative proportional fitting;    log-linear models;    symmetry and quasi-symmetry models.;   

DOI  :  10.17713/ajs.v44i4.74

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

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.

【 授权许可】

CC BY