Quotation Mair, Patrick. 2007. A framework to interpret nonstandard log-linear models.. Austrian Journal of Statistics (36): 1-15.




The formulation of log-linear models within the framework of Generalized Linear Models offers new possibilities in modeling categorical data. The resulting models are not restricted to the analysis of contingency tables in terms of ordinary hierarchical interactions. Such models are considered as the family of nonstandard log-linear models. The problem that can arise is an ambiguous interpretation of parameters. In the current paper this problem is solved by looking at the effects coded in the design matrix and determining the numerical contribution of single effects. Based on these results, stepwise approaches are proposed in order to achieve parsimonious models. In addition, some testing strategies are presented to test such (eventually non-nested) models against each other. As a result, a whole interpretation framework is elaborated to examine nonstandard log-linear models in depth.


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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Journal article
Journal Austrian Journal of Statistics
Language English
Title A framework to interpret nonstandard log-linear models.
Number 36
Year 2007
Page from 1
Page to 15
Reviewed? Y
URL http://www.stat.tugraz.at/AJS/ausg072/072Mair.pdf


Mair, Patrick (Former researcher)
Institute for Statistics and Mathematics IN (Details)
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